Tapan Kumar Kar

About

Dr. Tapan Kumar Kar, Professor (Higher Administrative Grade (HAG)), former Head of the Department, graduated from Narendrapur Ramkrishna Mission Residential College, Kolkata, affiliated under the University of Calcutta, M.Sc. (Applied Mathematics) And M. Phil from the University of Calcutta, Ph.D. from Jadavpur University, India, and Post Doc from Yokohama National University, Japan. He was topper both in undergraduate and Post Graduate degrees. He also qualified both NET and GATE conducted by the Government of India. He is serving this institute for more than 27 years, beginning from his service career. Besides, he is also helping other Govt. institute/University/Organization in different academic activities. He has been awarded the JSPS Postdoctoral fellowship (2005) for postdoctoral research work at Yokohama National University, Japan, JSPS invitation fellowship (2014) for conducting collaborative research work at Kyushu University, Japan, Visiting Professor for collaborative research work at Kyoto University, Japan in 2013 and 2017. So far, 25 students have been completed their Ph.D. degrees, and 11 more are ongoing under his supervision. He has visited several countries for his research activities and collaboration. He has delivered several invited lecturers both at National and International levels. So far, 9 major socially relevant research projects are completed, and one is ongoing both at national and international levels. He has published more than 200 research papers in refereed journals, mostly in Scopus/SCI-indexed journals. He has also served as editorial board member of some reputed journals, received a certificate of highly cited research and written some books and chapters. He is a regular reviewer of several leading international journals.

I encourage enthusiastic researchers interested for PhD position under my supervision to contact me about the opportunity on the following specializations:

External funding agencies: CSIR, UGC, NBHM and DST. Internal funding: Institute Fellowship

Some of the mathematical topics applied in my research field are:

Differential Equations & Dynamical Systems
Discrete Dynamical Models
Stability, Bifurcations and Chaos
Impulsive Differential Equations
Delay Differential Equations
Partial Differential Equations and Computations
Fractional Differential Equations

Announcement: I'll be happy to host a Post-Doctoral researcher in our group. Interested candidate may contact me

@ WISE Post-Doctoral Fellowship (WISE-PDF) : (https://online-wosa.gov.in/wosa/aboutUsPDF)

@NBHM Post Doctoral Fellowship (https://nbhm.dae.gov.in/postdoct.html)

@ National Post Doctoral Fellowship (N-PDF): serbonline.in/SERB/npdf

Academic Qualifications

1990: B.Sc. (Honours) (First Class first) (Calcutta University) Major: Mathematics, Minors: Physics and Chemistry.
1993: M.Sc.(Calcutta University)(First class 2nd) Applied Mathematics, Specialization: Mathematical Biology.
1993: Qualified “National Eligibility Test (NET)” conducted by Council of Scientific and Industrial Research (CSIR) and University Grants Commission (UGC)
1993: Qualified “Graduate Aptitude Test in Engineering (GATE)”, Ministry of Human Resource Development (MHRD), Government of India.
1994: M.Phil (Calcutta University) Applied Mathematics, Specialization: Mathematical Ecology.
2004: Ph.D. (Jadavpur University), Thesis title: Some Mathematical Models on Bioeconomic Harvesting Problems of Multispecies Fisheries. Supervisor: Professor Kripasindhu Chaudhuri, Jadavpur University.
2005-07: Post Doctoral Fellow (JSPS) Yokohama National University, JAPAN
2013: Visiting Professor, Kyoto University, Japan
2014: JSPS Invitation fellow, Kyushu University, Japan.
2017: Visiting Professor, Kyoto University

Teaching experience: 24 years

1996-2001: Lecturer, Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, India.
2001-2005: Senior Lecturer, Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, India.
2005-2008: Assistant Professor, Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, India.
2008-2011: Associate Professor, Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, India
2011: Professor, Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur
2021: Professor (Higher Adminstrative Grade (HAG)), Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India

Research Statement

28 Years

Some of the mathematical topics applied in my research field are:

Differential Equations & Dynamical Systems
Discrete Dynamical Models
Stability, Bifurcations and Chaos
Impulsive Differential Equations
Delay Differential Equations
Partial Differential Equations and Computations
Fractional Differential Equations

Latest Publications

1 Das, E., Paul, P., and Kar, T. K., Transient indicator of exploited communities at equilibrium in generalist predator–prey models, The European Physical Journal Plus, 2022

2 Adak, S., Majumder, R., Majee, S., Jana, S., and Kar, T. K., An ANFIS model-based approach to investigate the effect of lockdown due to COVID-19 on public health, 1-11, The European Physical Journal Special Topics, 2022

3 Majee, S., Jana, S., Das, D. K., and Kar, T. K., Global dynamics of a fractional-order HFMD model incorporating optimal treatment and stochastic stability, 161, 112291, Chaos, Solitons & Fractals, 2022

4 Majumder, R., Adak, S., Jana, S., Patra, S., and Kar, T. K., Change in Normal Health Condition Due to COVID-19 Infection: Analysis by ANFIS Technique, 46(5), 1327–1338, Iranian Journal of Science and Technology, Transactions A: Science, 2022

5 Pujaru, K., Jana, S., Khatua, A., Adak, S., and Kar, T. K., An economic approach to predict biomass level of Bangladesh Sundarbans region using fuzzy inference system, New Mathematics and Natural Computation, 2022

6 Majee, S., Jana, S., Khatua, A., and Kar, T. K., Growth of single species population: A novel approach, 907-915, Nonlinear Dynamics and Applications, 2022

7 Das, D. K., Khatua, A., Jana, S., and Kar, T. K., Modelling the risk of COVID-19 based on major clinical factors: A fuzzy rule approach, 663-667, International Conference on Decision Aid Sciences and Application (DASA-21), 2022

8 Khatua, A., Pal, D., and Kar, T. K., Global dynamics of a diffusive two-strain epidemic model with non-monotone incidence rate, 46(3), 859–868, Iranian Journal of Science and Technology, Transactions A: Science, 2022

9 Jana, S., Khatua, A., Mandal, M., and Kar, T. K., Dynamics of a prey-predator type ecological model in relevance to pest control, 42(6), 1049-1062, International Journal of Modelling and Simulation, 2022

10 Jana, S., Khatua, A., Kar, T. K., and Mandal, M., Time optimal control for an epidemic system with isolation and quadratic treatment, 12(4), 361-370, International Journal of Dynamical Systems and Differential Equations, 2022

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Research Areas

Impact of invasive species on the sustainable utilization of native species
Pest control
Mathematical modeling of eco-epidemiological problems.
Modeling and control of epidemiological problems.
sustainable use of ecosystem services.
conservation of aquatic ecosystems
food chain
population management
Theoretical studies on ecology
Population dynamics
Stability and bifurcation theory
Dynamical systems

Teachings

PG Courses

1 Discrete Mathematics 2 Mathematical Biology III 3 Ordinary Differential Equations and Dynamical Systems 4 Computer programming 5 C-language 6 Special functions

UG Courses

1 All the Mathematics courses at graduate level.

Publications

1 Das, E., Paul, P., and Kar, T. K., Transient indicator of exploited communities at equilibrium in generalist predator–prey models, The European Physical Journal Plus, 2022

6 Khatua, A., Pal, D., and Kar, T. K., Global dynamics of a diffusive two-strain epidemic model with non-monotone incidence rate, 46(3), 859–868, Iranian Journal of Science and Technology, Transactions A: Science, 2022

7 Jana, S., Khatua, A., Mandal, M., and Kar, T. K., Dynamics of a prey-predator type ecological model in relevance to pest control, 42(6), 1049-1062, International Journal of Modelling and Simulation, 2022

8 Jana, S., Khatua, A., Kar, T. K., and Mandal, M., Time optimal control for an epidemic system with isolation and quadratic treatment, 12(4), 361-370, International Journal of Dynamical Systems and Differential Equations, 2022

9 Majee, S., Adak, S., JanA, S., Mandal, M., and Kar, T. K., Complex Dynamics of a Fractional-order SIR system in the context of COVID-19, 1-24, Journal of Applied Mathematics and Computing, 2021

10 Paul., P., Das, E., and Kar, T. K., Reactivity and recovery in an exploited one prey two predators system at equilibrium, 136, 1148, The European Physical Journal Plus, 2021

11 Khatua, A., Das, D. K., and Kar, T. K., Optimal control strategy for adherence to different treatment regimen in various stages of tuberculosis infection, 136(8), 1-18, The European Physical Journal Plus, 2021

12 Mandal, M., Jana, S., Majee, S., Khatua, A., and Kar, T. K., Forecasting the Pandemic COVID-19 in India: A Mathematical Approach, In Press, Journal of Applied Nonlinear Dynamics, 2021

13 Paul, P., Kar, T. K., and Das, E., Reactivity in prey-predator models at equilibrium under selective harvesting effort, 136, 1-30, The European Physical Journal Plus, 2021

14 Das, D. K., and Kar, T. K., Global dynamics of a tuberculosis model with sensitivity of the smear microscopy, 146, 110879, Chaos, Solitons & Fractals, 2021

15 Das, D., Pal, D., Kar, T. K., and Chaudhuri, K., Balanced harvesting in two predators one prey system, 1-23, Journal of Applied Mathematics and Computing, 2021

16 Pujaru, K., Kar, T. K., and Paul, P., Relationship between multiple ecosystem services and sustainability in three species food chain, 62, 101250, Ecological Informatics, 2021

17 Das, D. K., Khatua, A., Kar, T. K., and Jana, S., The effectiveness of contact tracing in mitigating COVID-19 outbreak: A model-based analysis in the context of India, 404, 126207, Applied Mathematics and Computation, 2021

18 Mandal, M., Jana, S., and Kar, T. K., Modeling and Analysis of a Fractional-order Prey-Predator System Incorporating Harvesting, 7(2), 1159 -1176, Modeling Earth Systems and Environment, 2021

19 Das, D. K., Das, K., and Kar, T. K., Dynamical behaviour of infected predator-prey eco-epidemics with harvesting effort, 7(3), 1-27, International Journal of Applied and Computational Mathematics, 2021

20 Mandal, M., Jana, S., Pahari, U. K. and Kar, T. K., Optimal Control and Stability Analysis of Malaria disease: A model Based Approach, 10(4), 791-806, Journal of Applied Nonlinear Dynamics, 2021

21 Mandal, M., Jana, S., Nandi, S. K., and Kar, T. K., A Study on Effects of Biotic Resources on a Predator-Prey Population, 10(3), 499-522, Discontinuity, Nonlinearity, and Complexity, 2021

22 Mandal, M., Jana, S., Nandi, S. K., and Kar, T. K., Complex Dynamics of an Epidemic System With Optimal Vaccination and Treatment in the Presence of Population Dispersal, 10(3), 471-497, Discontinuity, Nonlinearity, and Complexity, 2021

23 Jana, S., Guria, S., Ghorai, A. and Kar, T. K., Complex Dynamics of a Prey-predator System Incorporating Functional Response Dependent Prey Refuge with Harvesting, 10(3), 493-512, Journal of Applied Nonlinear Dynamics, 2021

24 Jana, S., Mandal, M., and Kar, T. K., Optimal control and stability analysis of an epidemic model with population dispersal (In press), International Journal of Ecological Economics and Statistics, 2020

25 Haldar, S., Das, K., and Kar, T. K., Dynamics of an Exploited Prey Predator Model Induced by Sigmoidal Functional Response in Strong Allee Effect, 35(1), 15-34, International Journal of Ecology & Development, 2020 26 Mandal, M., Jana, S., Nandi, S. K., and Kar, T. K., Modelling and Control of a Fractional-order Epidemic Model with Fear Effect, 5(6), 421-432, Energy, Ecology and Environment, 2020 27 Mandal, M., Jana, S., Khatua, A., and Kar, T. K., Modelling and control of COVID-19: A short term forecasting in the context of India, 30(11), 113119, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020

28 Mandal, M., Jana, S., Nandi, S. K., and Kar, T. K., Analysis of a fractional-order SIS epidemic model with saturated treatment (In press), International Journal of Modeling, Simulation, and Scientific Computing, 2020

29 Khatua, A., and Kar, T.K., Impacts of media awareness on a stage structured epidemic model, 6(5), 152(1-22), International Journal of Applied and Computational Mathematics, 2020 30 Paul, P., Kar, T. K., and Pujaru, K., Impacts of zoning management of coastal ecosystem for three different activities: Reserve-fishing-ecotourism, 60, 101171, Ecological Informatics, 2020 31 Das, D., and Kar, T. K., Marine reserve and its consequences in a predator-prey system for ecotourism and fishing, 11(1), 20 - 36, International Journal of Mathematical Modelling and Numerical Optimisation, 2020

32 Jana, S., Mandal, M., and Kar, T. K., Population dispersal and optimal control of an SEIR epidemic model, 34(4), 379-395, International Journal of Modelling, Identification and Control, 2020

33 Khatua, A., and Kar, T. K., Dynamical behavior and control strategy of a dengue epidemic model, 135(8), 643(1-22), The European Physical Journal Plus, 2020 34 Das, D. K., and Kar, T. K., Dynamical analysis of an age-structured tuberculosis mathematical model with LTBI detectivity, 492(1), 124407, Journal of Mathematical Analysis and Applications, 2020 35 Haldar, S., Khatua, A., Das, K., and Kar, T. K., Modeling and analysis of a predator–prey type eco-epidemic system with time delay, 1-16, Modeling Earth Systems and Environment, 2020 36 Mandal, M., Jana, S., Nandi, S. K., Khatua, A., Adak, S., and Kar, T. K., A model based study on the dynamics of COVID-19: Prediction and control, 136, 109889, Chaos, Solitons & Fractals, 2020 37 Kar, T. K., Das, D., and Pujaru, K., Joint impact of fishing and ecotourism in the Sundarbans: a theoretical perspective, 8(3), 792-804, International Journal of Dynamics and Control, 2020 38 Khatua, A., Kar, T. K., Nandi, S. K., Jana, S., and Kang, Y., Impact of human mobility on the transmission dynamics of infectious diseases, 5(5), 389-406, Energy, Ecology and Environment, 2020 39 Khatua, A., Jana, S., and Kar, T. K., A fuzzy rule-based model to assess the effects of global warming, pollution and harvesting on the production of Hilsa fishes, 57, 101070, Ecological Informatics, 2020 40 Pal, D., Kar, T. K., Yamauchi, A., and Ghosh, B., Balancing maximum sustainable yield and ecological resilience in an exploited two-predator one-prey system, 187, 104064, BioSystems, 2020 41 Pujaru, K., and Kar, T. K., Impacts of predator-prey interaction on managing maximum sustainable yield and resilience, 25(3), 400-416, Nonlinear Analysis: Modelling and Control, 2020 42 Das, D. K., Khajanchi, S., and Kar, T. K., The impact of the media awareness and optimal strategy on the prevalence of tuberculosis, 366, 124732, Applied Mathematics and Computation, 2020 43 Das, D. K., Khajanchi, S., and Kar, T. K., Transmission dynamics of tuberculosis with multiple re-infections, 130, 109450, Chaos, Solitons & Fractals, 2020 44 Khatua, A., and Kar, T. K., Dynamical behavior of an SIR model with nonlinear incidence and saturated treatment rate, 40(3), 16-31, International Journal of Ecological Economics and Statistics, 2019 45 Das, D., and Kar, T. K., Feedback control and its impact on generalist predator-prey system with prey harvesting, 24(5), 718-732, Nonlinear Analysis: Modelling and Control, 2019 46 Pal, D., Ghosh, B., and Kar, T. K., Hydra effects in stable food chain models, 185, 104018, BioSystems, 2019 47 Kar, T. K., Pal, D., and Ghosh, B., Managing yield and resilience in a harvested tri-trophic food chain model, 469, 35-46, Journal of Theoretical Biology, 2019 48 Nandi, S. K., Jana, S., Mandal, M., and Kar, T. K., Complex dynamics and optimal treatment of an epidemic model with two infectious diseases, 5, 29, International Journal of Applied and Computational Mathematics, 2019 49 Kar, T. K., Nandi, S. K., Jana, S., and Mandal, M., Stability and bifurcation analysis of an epidemic model with the effect of media, 120, 188-199, Chaos, Solitons & Fractals, 2019 50 Ganguli, C., and Kar, T. K., Maintenance of yield maximization and species conservation perspective in a three species food chain model, 40, 95-117, International Journal of Ecological Economics and Statistics, 2019 51 Jana, S., Haldar, S., Das, D., Nandi, S. K., and Kar, T. K., Modeling and Analysis of an Ecological System Incorporating Infection and Prey Refuge, 13(4), 195-216, Biophysical Reviews and Letters, 2018 52 Ghosh, B., Pal, D., Legovic, T., and Kar, T. K., Harvesting induced stability and instability in a tri-trophic food chain, 304, 89-99, Mathematical Biosciences, 2018 53 Khajanchi, S., Das, D. K., and Kar, T. K., Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivation, 497, 52-71, Physica A: Statistical Mechanics and its Applications, 2018 54 Nandi, S. K., Jana, S., Mandal, M., and Kar, T. K., Mathematical Analysis of an Epidemic System in the Presence of Optimal Control and Population Dispersal, 13(1), 1-17, Biophysical Reviews and Letters, 2018 55 Nandi, S. K., Jana, S., Mandal, M., and Kar, T. K., Analysis of a fuzzy epidemic model with saturated treatment and disease transmission, 11(1), 1850002, International Journal of Biomathematics, 2018 56 Ganguli, C., and Kar, T. K., Species enrichment and its consequences on the sustainability of an exploited prey-predator system, 39(3), 39-66, International Journal of Ecological Economics and Statistics, 2018

57 Ganguli, C., Kar, T. K., and Das, U., Consequences of Providing Alternative Food to Predator in an Exploited Prey Predator System Controlled by Optimal Taxation, 25(3), 131-150, International Journal of Nonlinear Science, 2018

76 Halder, S., Chakraborty, K., and Kar, T. K., Controllability of an eco-epidemiological system with disease transmission delay: A theoretical study., 10(1), 382-420, Applications and Applied Mathematics: An International Journal, 2015

77 Haldar, S., Chakraborty, K., Das, K., and Kar, T. K., Bifurcation and control of an eco-epidemiological system with environmental fluctuations: a stochastic approach, 80(3), 1187-1207, Nonlinear Dynamics, 2015 78 Chakraborty, K., Das, K., Haldar, S., and Kar, T. K., A mathematical study of an eco-epidemiological system on disease persistence and extinction perspective, 254, 99-112, Applied Mathematics and Computation, 2015 79 Nandi, S. K., Mondal, P. K., Jana, S., Haldar, P., and Kar, T. K., Prey-Predator Model with Two-Stage Infection in Prey: Concerning Pest Control, 2015, 1-13 [Article ID 948728], Journal of Nonlinear Dynamics, 2015 80 Jana, S., Ghorai, A., Guria, S., and Kar, T. K., Global dynamics of a predator, weaker prey and stronger prey system, 250, 235-248, Applied Mathematics and Computation, 2015 81 Das, U., Guria, S., Kar, T. K., and Pahari, U. K., A Dynamic Reaction Model of a Prey-Predator System Incorporating a Constant Prey Refuge, 36(3), 26-48, International Journal of Ecological Economics and Statistics, 2015

82 Guria, S., Paul, P., and Kar, T. K., Sustainability of a stage-structured exploited prey-predator system, 1(1), 1-16, International Journal of Biomathematics and Systems Biology, 2014

83 Ghosh, B., Kar, T. K., and Legovic, T., Sustainability of exploited ecologically interdependent species, 56(3), 527-537, Population Ecology, 2014 84 Mondal, P. K., Jana, S., and Kar, T. K., A Theoretical Approach on Controlling Agricultural Pest by Biological Controls, 62(1), 47-67, Acta Biotheoretica, 2014 85 Ghosh, B., Kar, T. K., and Legovic, T., Relationship between exploitation, oscillation, MSY and extinction, 256, 1-9, Mathematical Biosciences, 2014 86 Das, K., Chakraborty, M., Chakraborty, K., and Kar, T. K., Modelling and analysis of a multiple delayed exploited ecosystem towards coexistence perspective, 78(1), 505-523, Nonlinear Dynamics, 2014 87 Chakraborty, K., Chakraborty, M., and Kar, T. K., Sustainable development of European hake resource: Bioeconomic perspective, 22(3), 353-375, Journal of Biological Systems, 2014 88 Ghosh, B., Paul, P., and Kar, T. K., Extinction scenarios in exploited system: Combined and selective harvesting approaches, 19, 130-139, Ecological Complexity, 2014 89 Ghosh, B., and Kar, T. K., Sustainable use of prey species in a prey-predator system: Jointly determined ecological thresholds and economic trade-offs, 272, 49-58, Ecological modelling, 2014 90 Das, U., and Kar, T. K., Bifurcation analysis of a delayed predator-prey model with Holling type III functional response and predator harvesting, 2014, 1-10 [Article ID 543041], Journal of Nonlinear Dynamics, 2014 91 Jana, S., and Kar, T. K., Modeling and analysis of a prey–predator system with disease in the prey, 47, 42-53, Chaos, Solitons & Fractals, 2013 92 Ghorai, A., and Kar, T. K., Biological control of a predator-prey system through provision of a super predator, 74(4), 1029-1040, Nonlinear Dynamics, 2013 93 Jana, S., and Kar, T. K., A mathematical study of a prey-predator model in relevance to pest control, 74(3), 667-683, Nonlinear Dynamics, 2013 94 Kar, T. K., and Jana, S., Application of three controls optimally in a vector-borne disease - a mathematical study, 18(10), 2868-2884, Communications in Nonlinear Science and Numerical Simulation, 2013 95 Das, U., Kar, T. K., and Pahari, U. K., Global Dynamics of an exploited prey-predator model with constant prey refuge, 2013, 1-12 [Article ID 637640], International Scholarly Research Notices, 2013 96 Chakraborty, K., Das, S., and Kar, T. K., On non-selective harvesting of a multispecies fishery incorporating partial closure for the populations, 221, 581-597, Applied Mathematics and Computation, 2013 97 Chakraborty, K., Das, K., and Kar, T. K., An ecological perspective on marine reserves in prey-predator dynamics, 39(4), 749-776, Journal of Biological Physics, 2013 98 Chakraborty, K., Halder, S., and Kar, T. K., Global stability and bifurcation analysis of a delay induced prey-predator system with stage structure, 73(3), 1307-1325, Nonlinear Dynamics, 2013 99 Ghosh, B., and Kar, T. K., Possible ecosystem impacts of applying maximum sustainable yield policy in food chain models, 329, 6-14, Journal of Theoretical Biology, 2013 100 Kar, T. K., Ghorai, A., and Jana, S., Dynamic consequences of prey refugia in a two-predator-one-prey system, 21(2), 1350013, Journal of Biological Systems, 2013

101 Mondal, P. K., and Kar, T. K., Global Dynamics of a Water-Borne Disease Model with Multiple Transmission Pathways., 8(1), 75-98, Applications and Applied Mathematics: An International Journal, 2013

102 Ghosh, B., and Kar, T. K., Maximum sustainable yield and species extinction in a prey-predator system: some new results, 39(3), 453-467, Journal of Biological Physics, 2013 103 Pahari, U. K., and Kar, T. K., Conservation of a resource based fishery through optimal taxation, 72(3), 591-603, Nonlinear Dynamics, 2013 104 Kar, T. K., and Ghosh, B., Impacts of maximum sustainable yield policy to prey-predator systems, 250, 134-142, Ecological Modelling, 2013 105 Kar, T. K. and Ghosh, B., Sustainability and economic consequences of creating marine protected areas in multispecies multiactivity context, 318, 81-90, Journal of Theoretical Biology, 2013

106 Kar, T. K., and Mondal, P. K., Dynamical behavior of a tuberculosis model with outcome of reinfection and optimal steering, 28(1), 49-79, International Journal of Ecological Economics and Statistics, 2013

107 Kar, T. K., and Das, U., Regulation of an exploited prey-predator system: A dynamic reaction model, 31(4), 102-121, International Journal of Ecological Economics and Statistics, 2013 108 Kar, T. K., Jana, S., and Ghorai, A., Effect of isolation in an infectious disease, 29(2), 87-106, International Journal of Ecological Economics and Statistics, 2013 109 Chakraborty, K., Das, K., and Kar, T. K., Combined harvesting of a stage structured prey-predator model incorporating cannibalism in competitive environment, 336(1), 34-45, Comptes Rendus Biologies, 2013 110 Kar, T. K., and Jana, S., A theoretical study on mathematical modelling of an infectious disease with application of optimal control, 111 (1), 37-50, BioSystems, 2013

111 Jana, S., and Kar, T. K., The optimal allocation of ocean space for the purposes of fishery and ecotourism management, 2(5), 85-93, Marine Science, 2012

112 Kar, T. K., and Das, U., Singular induced bifurcation and control of a bioeconomic model of an exploited prey-predator system, 20(3), 355-373, Canadian Applied Mathematics Quarterly, 2012

113 Kar, T. K., and Jana, S., Stability and bifurcation analysis of a stage structured predator prey model with time delay, 219(8), 3779-3792, Applied Mathematics and Computation, 2012 114 Kar, T. K., and Mondal, P. K., Global dynamics of a tuberculosis epidemic model and the influence of backward bifurcation, 11(4), 433-459, Journal of Mathematical Modelling and Algorithms, 2012 115 Chakraborty, K., and Kar, T. K., Economic perspective of marine reserves in fisheries: A bioeconomic model, 240(2), 212-222, Mathematical Biosciences, 2012 116 Chakraborty, K., Jana, S., and Kar, T. K., Effort dynamics of a delay-induced prey-predator system with reserve, 70(3), 1805-1829, Nonlinear Dynamics, 2012 117 Jana, S., Chakraborty, M., Chakraborty, K., and Kar, T. K., Global stability and bifurcation of time delayed prey-predator system incorporating prey refuge, 85, 57-77, Mathematics and Computers in Simulation, 2012 118 Kar, T. K., Ghorai, A., and Jana, S., Dynamics of pest and its predator model with disease in the pest and optimal use of pesticide, 310, 187-198, Journal of Theoretical Biology, 2012 119 Kar, T. K., and Ghosh, B., Sustainability and optimal control of an exploited prey predator system through provision of alternative food to predator, 109(2), 220-232, BioSystems, 2012

120 Kar, T. K., and Mondal, P. K., A Mathematical Study on the Dynamics of an Eco-Epidemiological Model in the Presence of Delay., 7(1), 300-333, Applications and Applied Mathematics: An International Journal, 2012

121 Chakraborty, K., Jana, S., and Kar, T. K., Global dynamics and bifurcation in a stage structured prey-predator fishery model with harvesting, 218(18), 9271-9290, Applied Mathematics and Computation, 2012 122 Kar, T. K., and Ghosh, B.,, Dynamic analysis of a biological economic model of prey-predator system with alternative prey, 25(2), 12-32, International Journal of Ecological Economics and Statistics, 2012

123 Kar, T. K., Ghorai, A., and Batabyal, A., Global dynamics and bifurcation of a tri-trophic food chain model, 8(1), 66-80, World Journal of Modelling and Simulation, 2012

124 Chakraborty, K., Das, S., and Kar, T. K., Optimal control of effort of a stage structured prey-predator fishery model with harvesting, 12(6), 3452-3467, Nonlinear Analysis: Real World Applications, 2011 125 Chakraborty, K., Chakraborty, M., and Kar, T. K., Bifurcation and control of a bioeconomic model of a prey-predator system with a time delay, 5(4), 613-625, Nonlinear Analysis: Hybrid Systems, 2011 126 Chakraborty, K., Chakraborty, M., and Kar, T. K., Regulation of a prey-predator fishery incorporating prey refuge by taxation: A dynamic reaction model, 19(3), 417-445, Journal of Biological Systems, 2011

127 Kar, T. K., and Pahari, U. K., Bifurcations and feedback control in an exploited prey-predator system with stage structure for prey, 29(5-6), 1193-1204, Journal of Applied Mathematics and Informatics, 2011

128 Kar, T. K., and Mondal, P. K., Global dynamics and bifurcation in delayed SIR epidemic model, 12(4), 2058-2068, Nonlinear Analysis: Real World Applications, 2011 129 Kar, T. K., and Ghorai, A., Dynamic behaviour of a delayed predator-prey model with harvesting, 217(22), 9085-9104, Applied Mathematics and Computation, 2011 130 Chakraborty, K., Chakraborty, M., and Kar, T. K., Optimal control of harvest and bifurcation of a prey-predator model with stage structure, 217(21), 8778-8792, Applied Mathematics and Computation, 2011 131 Kar, T. K., and Batabyal, A., Stability analysis and optimal control of an SIR epidemic model with vaccination, 104(2-3), 127-135, BioSystems, 2011

132 Kar, T. K., and Chakraborty, K., A bioeconomic assessment of the Bangladesh shrimp fishery, 7(1), 58-69, World Journal of Modelling and Simulation, 2011

133 Kar, T. K., and Chattopadhyay, S. K., A dynamic reaction model of a prey-predator system with stage-structure for predator, 4(5), 183-195, Modern Applied Sciences, 2010

134 Kar, T. K., Batabyal, A. and Misra, S., An analysis for a two species predator-prey system with harvesting, 1(5), 76-90, Int. J. Advn Sci.T echin., 2010

135 Kar, T. K., and Chattopadhyay, S. K., A focus on long-run sustainability of a harvested prey predator system in the presence of alternative prey, 333(11-12), 841-849, Comptes Rendus Biologies, 2010

136 Kar, T. K., and Misra, S., A resource based stage-structured fishery model with selective harvesting of mature species, 5(1), 42-58, Applications and Applied Mathematics: An International Journal, 2010

137 Kar, T. K., and Batabyal, A., Optimal Use of Fertilizer to Overcome the Effects of Toxicity in Plants, 2(2), 85-92, Journal of Mathematics Research, 2010

138 Kar, T. K., and Batabyal, A., Modeling and analysis of an epidemic model with non-monotonic incidence rate under treatment, 2(1), 103-115, Journal of Mathematics Research, 2010

139 Kar, T. K., Batabyal, A., and Agarwal, R. P., Modeling and analysis of an epidemic model with classical Kermack-Mckendrick incidence rate under treatment, 14(1), 1-16, Journal of the Korean Society for Industrial and Applied Mathematics, 2010

140 Kar, T. K., and Ghosh, B., Bifurcations and feedback control of a stage-structure exploited prey-predator system, 2(6), 131-141, International Journal of Engineering, Science and Technology, 2010

141 Kar, T. K., Chattopadhyay, S. K., and Agarwal, R. P., Dynamics of an exploited prey-predator system with non-monotonic functional response, 14(1), 21-38, Communications in Applied Analysis, 2010

142 Kar, T. K., Chakraborty, K., and Pahari, U. K., A prey-predator model with alternative prey: Mathematical model and analysis, 18(2), 137-168, Canadian Applied Mathematics Quarterly, 2010

143 Kar, T. K., and Chakraborty, K., Effort dynamics in a prey-predator model with harvesting, 6(3), 318-332, International Journal Information and Systems Sciences, 2010

144 Kar, T. K., and Chakraborty, K., Bioeconomic modelling of a prey predator system using differential algebraic equations, 2(1), 13-34, International Journal of Engineering, Science and Technology, 2010

145 Kar, T. K., and Batabyal, A., Persistence and stability of a two prey one predator system, 2(2), 174-190, International Journal of Engineering, Science and Technology, 2010

146 Kar, T. K., and Chakraborty, K., Bioeconomic analysis of Maryland’s Chesapeake Bay oyster fishery with reference to the optimal utilization and management of the resource, 1(1), 172-189, International Journal of Engineering, Science and Technology, 2009

147 Kar. T. K., and Chattopadhyay, S. K, Bioeconomic modeling: An application to the North-East Atlantic cod fishery, 1(2), 164-178, Journal of Mathematics Research (CCSE, Canada)., 2009

148 Kar, T. K., and Chattopadhyay, S. K, A bioeconomic model of two-prey one predator system, 27(5-6), 1411-1427, Journal of Applied Mathematics and Informatics, 2009

149 Kar, T. K., and Chakraborty, K., Marine reserves and its consequences as a fisheries management tool, 5(2), 83-95, World Journal of Modelling and Simulation (World Academic Press, USA)., 2009

150 Kar, T. K., and Batbyal A., Stability and bifurcation of a prey-predator model with time delay, 332(7), 642-651, Comptes Rendus Biologies, 2009

151 Kar, T. K., and Matsuda, H., A bioeconomic model of a single species fishery with marine reserve, 86(1), 171-180, Journal of Environmental Management, 2008

152 Kar T. K., and Matsuda, H., Sustainable management of a fishery with a strong Alee effect, 2(4), 271-283, Trends in Applied Science Research(USA)., 2007

153 Kar, T. K., and Matsuda, H., Regulation of a multi-fleet fishery, 1(3), 93-101, Research Journal of Environmental Sciences(Academic Journal Inc, USA)., 2007

154 Kar, T. K., and Misra, S., Modelling and analysis of a prey-predator system with stage-structure and harvesting, 12(3), 31-44, Advances in Modelling and Analysis Series D, 2007

155 Kar T. K., and Matsuda, H., Permanence and optimization of harvesting return: A stage structured prey-predator fishery, 1(2), 35-46, Research Journal of Environmental Sciences(USA), 2007

156 Kar, T. K., Dynamics of a ratio-dependent prey-predator system with selective harvesting of predator species, 23(1), 385-395, Journal of Applied Mathematics and Computing, 2007

157 Kar T. K., and Pahari U. K., A model for prey-predator fishery with marine reserve, 2(3), 195-205, Journal of Fisheries and Aquatic Sciences (Academic Journals Inc, USA), 2007

158 Kar. T. K., and Matsuda, H., Global dynamics and controllability of a harvested prey-predator systems with Holling type III functional response, 1(1), 59-67, Nonlinear Analysis : Hybrid Systems, 2007 159 Kar T. K., and Pahari, U. K., Modelling and analysis of a prey-predator systems with stage-structure and harvesting, 8(2), 601-609, Nonlinear Analysis: Real World Applications, 2007

160 Kar, T. K., A model for fishery resource with reserve area and facing prey-predator interaction, 14(4), 385-399, Canadian Applied Mathematics Quarterly(Canada), 2006

161 Kar, T. K., and Misra, S., Optimal control of a fishery under critical depensation, 1(3), 253-261, Journal of Fisheries and Aquatic Sciences (Academic Journals Inc, USA), 2006

162 Kar, T. K., and Matsuda, H., An overview of bioeconomic analysis and management in fisheries, 1(3), 218-234, Journal of Fisheries and Aquatic Sciences (Academic Journals Inc, USA), 2006

163 Kar, T. K., Misra. S., and Mukhopadhyay, B., A bioeconomic model of a ratio-dependent predator-prey system and optimal harvesting, 22(1), 387(1-15), Journal of Applied Mathematics and Computing, 2006

164 Kar, T. K., and Misra, S., Influence of prey reserve in a prey-predator fishery, 65(9), 1725-1735, Nonlinear Analysis, 2006

165 Kar, T. K., Controllability and optimal harvesting of a prey-predator model incorporating a prey refuge, 37(5), 559-571, International Journal of Mathematical Education in Science and Technology, 2006

166 Kar, T. K., and Matsuda, H., Controllability of a harvested prey-predator system with time delay, 14(2), 243-254, Journal of Biological Systems, 2006

167 Kar, T.K., A mathematical model on bioeconomic harvesting of a nonlinear prey-predator fishery, 37(3), 309-319, International Journal of Mathematical Education in Science and Technology (Taylor & Francis)., 2006

168 Kar. T. K., and Matsuda, H., Modelling and Analysis of Marine Reserve Creation, 1(1), 17-31, Journal of Fisheries and Aquatic Sciences (Academic Journals Inc, USA)., 2006

169 Kar. T. K., Modelling and analysis of a harvested prey-predator system incorporating a prey refuge, 185(1), 19-33, Journal of Computational and Applied Mathematics, 2006

170 Kar, T. K., and Pahari, U. K., Non-selective harvesting in prey-predator models with delay, 11(4), 499-509, Communications in Nonlinear Science and Numerical Simulation, 2006

171 Kar, T. K., Optimal harvesting and stability for a prey-predator system with stage-structure for predator, 10(1), 53-62, Advances in Modelling and Analysis Series D (AMSE Periodicals, France)., 2005

172 Kar, T. K., Stability and optimal harvesting of a prey-predator model with stage-structure for predator, 32(3), 279-291, Applicationes Mathematicae, 2005

173 Kar, T. K., Pahari, U. K., and Chaudhuri, K. S., Conservation of a prey-predator fishery with predator self limitation based on continuous fishing effort, 19(1), 311(1-16), Journal of Applied Mathematics and Computing, 2005 174 Kar, T. K., Stability analysis of a prey-predator model incorporating a prey refuge, 10(6), 681-691, Communications in Nonlinear Sciences and Numerical Simulation, 2005 175 Kar, T. K., Conservation of a fishery through optimal taxation: a dynamic reaction model, 10(2), 121-131, Communications in Nonlinear Science and Numerical Simulation, 2005

176 Kar, T. K., Stability of a stage structured prey-predator model, 9(3), 15-26, Advances in Modelling and Analysis Series D, 2004

177 Kar T. K., Optimal harvesting and stability in a three level food chain fishery, 25(1), 31-46, Advances in Modelling and Analysis Series D, 2004

178 Kar, T. K., Pahari, U.K., and Chaudhuri, K. S., Management of a prey-predator fishery based on continuous fishing effort., 12(3), 301-313, Journal of Biological Systems ( World Scientific), 2004 179 Kar, T. K., Management of a fishery based on continuous fishing effort, 5(4), 629-644, Nonlinear Analysis: Real World Application, 2004

180 Kar, T. K., Pahari, U.K., and Chaudhuri, K. S,, Management of a single species fishery with stage structure, 35(3), 403-414, International Journal of Mathematical Education in Science and Technology (Taylor & Francis )., 2004

181 Kar, T.K., and Chaudhuri, K. S., On selective harvesting of two competing fish species in the presence of environmental fluctuation, 17(3), 251-272, Natural Resource Modeling ( USA)., 2004 182 Kar, T. K., Stability analysis of a prey-predator model with delay and harvesting, 12(1), 61-71, Journal of Biological Systems, 2004 183 Kar, T. K., Influence of environmental noises on the Gompertz model of two species fishery, 173(2-3), 283-293, Ecological Modelling, 2004

184 Kar, T. K., A bioeconomic model of in a tritrophic food chain fishery, 2(1), 1-12, Int. J. Nonl. Model. Sci. Eng., 2004

185 Kar, T.K., and Chaudhuri, K. S., Harvesting in a two prey one predator fishery: a bioeconomic model, 45(3), 443-456, The ANZIAM Journal (Australian Mathematical Society, AUSTRALIA)., 2004

186 Kar, T.K., Optimal harvesting and stability for a prey-predator system with stage structure, 8(3), 61-71, Advances in Modelling and Analysis Series D, 2003

187 Kar, T. K., Selective harvesting in a prey-predator fishery with time delay, 38(3-4), 449-458, Mathematical and Computer Modelling, 2003

188 Kar, T. K., and Chaudhuri, K. S., Regulation of a prey-predator fishery by taxation, 34(3), 403-416, International Journal of Mathematical Education in Science and Technology, 2003

189 Kar, T. K., and Chaudhuri, K. S,, Regulation of a prey-predator fishery by taxation a dynamic reaction model, 11(2), 173-187, Journal of Biological Systems, 2003 190 Kar, T.K., and Chaudhuri, K. S., On non-selective harvesting of two competing fish species in the presence of toxicity, 161(1-2), 125-137, Ecological Modelling, 2003

191 Kar, T.K., and Chaudhuri, K. S., On non-selective harvesting of a multispecies fishery, 33(4), 543-556, International Journal of Mathematical Education in Science and Technology, 2002

1 Majee, S., Jana, S., Khatua, A., and Kar, T. K., Growth of single species population: A novel approach, 907-915, Nonlinear Dynamics and Applications, 2022

2 Das, D. K., Khatua, A., Jana, S., and Kar, T. K., Modelling the risk of COVID-19 based on major clinical factors: A fuzzy rule approach, 663-667, International Conference on Decision Aid Sciences and Application (DASA-21), 2022

3 Das, Dhiraj Kumar and Khajanchi, Subhas and Kar, Tapan Kumar, Influence of multiple re-infections in tuberculosis transmission dynamics: A Mathematical Approach, 1-5, 2019 8th International Conference on Modeling Simulation and Applied Optimization (ICMSAO), 2019

4 Das, Dhiraj Kumar and Khajanchi, Subhas and Kar, Tapan Kumar, Dynamical behaviour of tuberculosis transmission, 5, Biomath Communications Supplement, 2018

5 Jana, S. and Kar, T. K., Optimal control of an epidemic model with vaccination and treatment control, 143-149, Proceedings of the International conference on recent trends in Science & Technology, College of Engineering and Management, Kolaghat, West Bengal, India, 2013

6 Mondal, P. K. and Kar, T. K., Optimal control and stability analysis of an SIR model with vaccination strategy, 136-142, Proceedings of the International conference on recent trends in Science & Technology, College of Engineering and Management, Kolaghat, West Bengal, India, 2013

7 Chakraborty, K., Jana, S. and Kar, T. K., Influence of marine reserve in a bioeconomic system, 42-52, Proceedings National Seminar on Recent Advances in the Application of Mathematical Analysis and Computational Techniques in Applied Sciences, Siliguri College, 2011

8 Chakraborty, Kunal and Kar, T. K., Bifurcation analysis and optimal control of harvest in a prey-predator model with stage structure for prey, 207-218, Proceedings of the National Seminar on Mathematical Modelling of Natural Phenomena (NSMMNP-2010), 2010

9 Kar T. K. and Chkraborty, K., A bioeconomic assessment of the Maryland’s Chespeake Bay oyster fishery with reference to the optimal utilization and management of the resource, 101-108, Proceedings of the International Seminar on Modern Trends in Biological Sciences, Raja N. L. Khan Women’s College, Midnapur, India., 2009

10 Kar T. K. and Matsuda H., Stability, bifurcation and controllability of a harvested prey-predator system with time delay, International Symposium on Recent Advances in Mathematics and its Applications, Calcutta Mathematical Society, India, 2006

11 Kar, T. K. and Matsuda H., Controllability of a harvested prey-predator system with time delay, 52, Proceedings of the 15th Annual Meeting of the Japanese Society for Mathematical Biology, Yokohama National University, Japan, 2005

12 Kar T. K. and Chaudhuri K. S., Bioeconomic Modelling of a prey-predator fishery : A capital theoretic approach, 49-55, Proceedings of the National Seminar on Recent Trends in Mathematics and its Applications, Siksha Bhavana, Visva Bharati, Santiniketan, India, 2002

13 Kar, T. K., Sinha, D. K. and Bagchi, M. C., On viscoelastic behaviour of enzymes: a stochastic model, 15, 52, Journal of Biomedical Engineering Society of India, 1995

1 Adak, S., Jana, S., and Kar, T. K., Investigation of COVID-19 Using an Artificial Intelligence Based Approach, Modeling, Control and Drug Development for COVID-19 Outbreak Prevention455-478, , 2022

2 Mandal, K., Jana, S., Adak, S. , Khatua, A., and Kar, T. K., A Model-Based Analysis to Predict and Control the Dynamics of COVID-19, Modeling, Control and Drug Development for COVID-19 Outbreak Prevention87-118, , 2022

3 T. K. Kar & S. Jana, Fundamental Engineering Mathematics (SEMESTER III, CSE and IT), Santra Publications, Kolkata, 2020

4 Kar, T. K. and Jana, Soovoojeet, Fundamental Engineering Mathematics (SEMESTER II, All Streams except CSE and IT), Santra Publications, Kolkata, 2020

5 T. K. Kar & S. Jana, Fundamental Engineering Mathematics-Probability & Statistics Sem-II (CSE & IT) & Sem-III ( ECE & BME), Santra Publication, Kolkata, 2020

6 T.K.Kar and S.Jana, Fundamental Engineering Mathematics(Except CSE & IT), Santra Publication pvt.Ltd., Kolkata, 2019

7 T.K.Kar and S.Jana, Fundamental Engineering Mathematics(CSE & IT), Santra Publication Pvt.Ltd., Kolkata, 2019

8 P.K.Mondal and T.K.Kar, Biomathematical Modelling under uncertain environment, Chapter 10, Narosa, New Delhi, 2016

9 S.K.Nandi, S.Jana and T.K.Kar, Biomathematical Modelling under uncertain environment, Chapter 4, Narosa, New Delhi, 2016

10 T.K.Kar, Biomathematical Modelling under uncertain environment, Chapter 7, Narosa, New Delhi, 2016

11 Soovooojeet Jana & T.K.Kar, Complex dynamics of ecological systems with special emphasis on epidemiology problems, Lambart, 2015

Patents

#	Patents	Year

Member

Biomathematical Society of India Life Member

Indian Statistical Institute Kolkata Life Member L9226

Calcutta Mathematical Society - Life Member - LK/31

Indian Science Congress Association - Life Member- L36621

Responsibilities

Editorial Board Member

1. Journal of Fisheries and Aquatic Science

2. Journal of Applied Sciences

3. Research Journal of Environmental Sciences

4. Research Journal of Foretry

5. Dynamical and Control Systems

6. Mathematics and Computers in Simulation

Head of the Department of Mathematics

4th July 2019 ---- 5th July 2021

Projects

Development of mathematical modelling and computational techniques of some age structured epidemic problems: SERB MATRICS Project (2023-2026), Sponsored
Ongoing
Fisheries management: Bioeconomic modelling and development of solution techniques (2005 - 2007), Sponsored
Completed
Integrated modeling approach of fisheries management and policy (2008 --2011), Sponsored
Completed
Sustainable use of ecosystem services: Jointly determined ecological thresholds and economic trade offs -2013, Sponsored
Completed
Developing coupled social and ecological dynamics for global environmental change - 2014, Sponsored
Completed
Incorporating ecosystem objectives into management of sustainable marine fisheries: ecological economic modelling with some case studies along the coastal side of West Bengal ( 2011 - 2014), Sponsored
Completed
Modelling socio-economic aspects of ecosystem management and biodiversity conservation (2017), Sponsored
Completed
Transmission Dynamics and Spread of Infectious Diseases: Modelling, Prediction and Control (2015- 2017), Sponsored
Completed
Sustainable use of ecosystem services under global environmental change: Developing coupled social and ecological dynamics (2019- 2022), Sponsored
Ongoing

Awards

Included in the list of Top 2 % Scientists in the World in all disciplines from India, based on the Stanford University Study., Year: 2020
Certificate of merit for first class first in B.Sc (Hons), University of Calcutta, Year: 1990
Debaprasad Ghosal Memorial Gold Medal for first Class first in B.Sc. Ramkrishna Mission College, Narendrapur, India, Year: 1990
Junior Research Fellowship (NET), University Grants Commission, Year: 1993
Certificate of qualifying in Graduate Aptitude Test in Engineering (GATE) Department of Education, Ministry of Human Resource Development, Government of India., Year: 1993
Certificate of merit for first class 2nd in M.Sc. University of Calcutta, Year: 1993
Post Doctoral Fellowship Japan Society for the Promotion in Sciences (JSPS), Yokohama National University, Japan., Year: 2005
Visiting Professor Kyoto University, Japan., Year: 2013
JSPS invitation fellowship Kyushu University, Japan, Year: 2014
Highly cited research in Biosystems, Year: 2016
Visiting Professor, Kyoto University, Japan, Year: 2017