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Sourav Rana

About


I am a passionate and experienced professional in the field of Applied Mathematics and Statistics with over eleven years of teaching and research expertise. I have successfully taught a diverse range of students at various levels, from undergraduate to doctoral and interdisciplinary studies. I am dedicated to staying updated on new research directions and enjoy exploring coding ideas related to teaching and research. My research work focuses on mathematical, statistical and machine learning modeling, particularly in the areas of ecology, mathematical epidemiology and disease forecasting. I have published around 42 papers in the applied fields of Mathematics and Statistics.

Latest Publications


  • 1 Rana, S., Bridging mechanistic and data-driven models: a novel framework for epidemic forecasting., https://doi.org/10.1080/29984688.2025.2511594, Journal of Applied Statistics: Environmental Statistics and Data Science, 2025
  • 2 Sardar, P., Biswas, S., Das, KP, Rana, S., Ali, PMF, Gupta, V, Exploring multiple bifurcation behaviors and chaos control via weak Allee effect and harvesting in a predator–prey interaction model., 4, https://doi.org/10.1016/j.nls.2025.100033, Nonlinear Science, 2025
  • 3 Das,,S., Chatterjee, AN & Rana, S*, Complex Dynamics of a Discrete Time One Prey Two Predator System with Prey Refuge., 11(3), https://doi.org/10.1007/s40819-025-01896-9, International Journal of Applied and Computational Mathematics, 2025
  • 4 Sharma,,SK., Rana, S. & Chatterjee, AN., Dynamic Analysis of Nonlinear Stochastic DENGUE Epidemic Model, 14(3), 745 -755, Journal of Applied Nonlinear Dynamics, 2025
  • 5 Das, T., Sardar, T. & Rana, S*, Extinction and Stationary Distribution of a Stochastic SEIIaIqHR Epidemic Model with Intervention, 23(1), 139 -175, Statistics and Applications, 2025
  • 6 Rana, S., Das, KP., Das, S. & Ghosh, S., Disease Dynamics of the COVID-19 Outbreak and Detecting the Important Controlling Factors: A Model Based Study, 14(1), 243-257, Discontinuity, Nonlinearity, and Complexity, 2025
  • 7 Sujay Goldar et. al., Exploring Neimark-Sacker Bifurcation and Chaos Control in a Tri-species Discrete-Time Model, DOI: 10.1007/s40995-025-01790-5, Iranian Journal of Science, 2025
  • 8 Ghosh, S., Rana, S., Mukherjee, S & Roy, PK., Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy, 376, 109281, Mathematical Biosciences, 2024
  • 9 Sardar, P., Das, K.P., Biswas, S & Rana, S., Impact of Honest Signal, Cues, Prey’s Experience Rate and Environmental Toxicity in a Predator–Prey Interaction Model, 19(3), 209-239, Biophysical Reviews and Letters, 2024
  • 10 Ghosh, S., Rana, S. & Roy, PK., Leprosy: Considering the Effects on Density-Dependent Growth of Mycobacterium leprae, 32, 1013–1027, Differential Equations and Dynamical Systems, 2024
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    Publications


  • 1 Rana, S., Bridging mechanistic and data-driven models: a novel framework for epidemic forecasting., https://doi.org/10.1080/29984688.2025.2511594, Journal of Applied Statistics: Environmental Statistics and Data Science, 2025
  • 2 Sardar, P., Biswas, S., Das, KP, Rana, S., Ali, PMF, Gupta, V, Exploring multiple bifurcation behaviors and chaos control via weak Allee effect and harvesting in a predator–prey interaction model., 4, https://doi.org/10.1016/j.nls.2025.100033, Nonlinear Science, 2025
  • 3 Das,,S., Chatterjee, AN & Rana, S*, Complex Dynamics of a Discrete Time One Prey Two Predator System with Prey Refuge., 11(3), https://doi.org/10.1007/s40819-025-01896-9, International Journal of Applied and Computational Mathematics, 2025
  • 4 Sharma,,SK., Rana, S. & Chatterjee, AN., Dynamic Analysis of Nonlinear Stochastic DENGUE Epidemic Model, 14(3), 745 -755, Journal of Applied Nonlinear Dynamics, 2025
  • 5 Das, T., Sardar, T. & Rana, S*, Extinction and Stationary Distribution of a Stochastic SEIIaIqHR Epidemic Model with Intervention, 23(1), 139 -175, Statistics and Applications, 2025
  • 6 Rana, S., Das, KP., Das, S. & Ghosh, S., Disease Dynamics of the COVID-19 Outbreak and Detecting the Important Controlling Factors: A Model Based Study, 14(1), 243-257, Discontinuity, Nonlinearity, and Complexity, 2025
  • 7 Sujay Goldar et. al., Exploring Neimark-Sacker Bifurcation and Chaos Control in a Tri-species Discrete-Time Model, DOI: 10.1007/s40995-025-01790-5, Iranian Journal of Science, 2025
  • 8 Ghosh, S., Rana, S., Mukherjee, S & Roy, PK., Insights of infected Schwann cells extinction and inherited randomness in a stochastic model of leprosy, 376, 109281, Mathematical Biosciences, 2024
  • 9 Sardar, P., Das, K.P., Biswas, S & Rana, S., Impact of Honest Signal, Cues, Prey’s Experience Rate and Environmental Toxicity in a Predator–Prey Interaction Model, 19(3), 209-239, Biophysical Reviews and Letters, 2024
  • 10 Ghosh, S., Rana, S. & Roy, PK., Leprosy: Considering the Effects on Density-Dependent Growth of Mycobacterium leprae, 32, 1013–1027, Differential Equations and Dynamical Systems, 2024
  • 11 Rana, S., Chatterjee, AN., and Basir, FA., Dynamic Analysis of Nonlinear Stochastic ROTA Virus Epidemic Model., https://doi.org/10.1007/s40819-024-01690-z, International Journal of Applied and Computational Mathematics, 2024
  • 12 Chakraborty, A., Rana, S., and Maiti, S.I., Transmuted Shifted Lindley Distribution: Characterizations, Classical and Bayesian Estimation with Applications, DOI: 10.1007/s40745-024-00562-z, Annals of Data Science, 2024
  • 13 Bera, RK., Rana, S., and Bhattacharya, S., Interaction intensity in strategic fitness: A quantifying yardstick of selection optimization for evolutionary game, https://doi.org/10.1016/j.mbs.2024.109241, Mathematical Biosciences, 2024
  • 14 Kayal, K.,Samanta, S., Rana, S., Karmakar,S., and Chattopadhyay, J., Impact of Predator-Driven Allee and Spatiotemporal Effect on a Simple Predator–Prey Model, https://doi.org/10.1142/S0218127424500469, International Journal of Bifurcation and Chaos, 2024
  • 15 Rana, S., Basu, A., Ghosh, S., and Bhattacharya, S., Moths exhibit strong memoryamong cooperative species of other taxonomic groups: An empirical study, https://doi.org/10.1016/j.ecolmodel.2022.110235, Ecological Modelling, 2023
  • 16 Cao, X., Ghosh, S., Rana, S., Bose, H., and Roy, PK., Application of an OptimalControl Therapeutic Approach for the Memory-Regulated Infection Mechanismof Leprosy through Caputo–Fabrizio Fractional Derivative, 11(17), https://doi.org/ 10.3390/ math11173630, Mathematics, 2023
  • 17 Das, KP., Nath, B., Rana, S., and Pramanik, S., A Mathematical Study of Eco-epidemiological Model with Effect of Harvesting and Allee, 3(3), 825–854, Nonlinear Studies, 2023
  • 18 Rana, S., Bhattacharya, S., and Samanta, S., Spatiotemporal dynamics of Leslie–Gower predator–prey model with Allee effect on both populations, 200, 32–49, Mathematics and Computers in Simulation, 2022
  • 19 Sardar, T., Nadim, S.S., and Rana, S*, Detection of multiple waves for COVID-19 and its optimal control through media awareness and vaccination: study based on some Indian states, https://doi.org/10.1007/s11071–022–07887–5, Nonlinear Dynamics, 2022
  • 20 International Journal of Bifurcation and Chaos, Complex Dynamics of a Three-Species Food Chain Model with Fear and Allee Effect, 32(6), https://doi.org/10.1142/S0218127422500845, Rana, S., Bhattacharya, S., and Samanta, S., 2022
  • 21 Rana, S., Maiti, S.I., and Chakraborty, A., On some Characterizations of the Extended Generalised Shifted Lindley Distribution, 82(4), https://doi.org/10.6092/issn.1973-2201/13670, Statistica, 2022
  • 22 Maiti, S.I., Rana, S., and Chakraborty, A., Estimation in Shifted Lindley Distribution, 20(1), 247–263, Statistics and Applications, 2022
  • 23 Sardar, T. and Rana, S*., Effective Lockdown and Role of Hospital-Based COVID-19 Transmission in Some Indian States: An Outbreak Risk Analysis, https://doi.org/10.1111/risa.13781, Risk Analysis: An International Journal, 2021
  • 24 Rana, S., Bhowmick, A.R., and Sardar, T., Invasive dynamics for a predator–prey system with Allee effect in both populations and a special emphasis on predator mortality, 31(3), 033150, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
  • 25 Hossain, M., Pati, N.C., Pal, S., Rana, S., Pal, N., and Layek, G.C., Bifurcations and multistability in a food chain model with nanoparticles, 190, 808–825, Mathematics and Computers in Simulation, 2021
  • 26 Senapati, A., Rana, S*., Das, T., and Chattopadhyay, J., Impact of intervension on the spread of COVID-19 in India: A model based study, 523, 110711, Journal of Theoretical Biology, 2021
  • 27 Sardar, T., Nadim, S.S., Rana, S., and Chattopadhyay, J., Assessment of lockdown effect in some states and overall India: A predictive mathematical study on COVID-19 outbreak, 139, 110078, Chaos, Solitons & Fractals, 2020
  • 28 Pal, N., Samanta, S., and Rana, S., The Impact of Constant Immigration on a Tritrophic Food Chain Model, 3, 3615–3644, International Journal of Applied and Computational Mathematics, 2017
  • 29 Ghosh, K., Samanta, S., Biswas, S., Rana, S., and Chattopadhyay, J., Stability and bifurcation analysis of an eco-epidemiological model with multiple delays, 23(2), 167–208, Nonlinear Studies, 2016
  • 30 Rana, S., Samanta, S., and Bhattacharya, S., The interplay of Allee effect in an eco-epidemiological system with disease in predator population, Bulletin of Calcutta Mathematical Society, 2016
  • 31 Bhowmick, A.R., Bandyopadhyay, S., Rana, S., and Bhattacharya, S., A simple approximation of moments of the quasi-equilibrium distribution of an extended stochastic theta-logistic model with non-integer powers, 271, 96–112, Mathematical Biosciences, 2015
  • 32 Greenhalgh, D., Rana, S., Samanta, S., Sardar, T., Bhattacharya, S., and Chattopadhyay, J., Awareness programs control infectious disease–Multiple delay induced mathematical model, 251, 539–563, Applied Mathematics and Computation, 2015
  • 33 Sadar, T., Rana, S., Bhattacharya, S., Al-Khaled, K., and Chattopadhyay, J., A generic model for a single strain mosquito-transmitted disease with memory on the host and the vector, 263, 18–36, Mathematical Biosciences, 2015
  • 34 Sadar, T., Rana, S., and Chattopadhyay, J, A mathematical model of dengue transmission with memory., 22(1-3), 511–525, Commnications of Nonlinear Science and Numerical Simulation, 2015
  • 35 Rana, S., Bhowmick, A.R., and Bhattacharya, S., Impact of Prey Refuge on a Discrete Time Predator-Prey System with Allee Effect, 24(9), 1450106, International Journal of Bifurcation and Chaos, 2014
  • 36 Rana, S., Samanta, S., Bhattacharya, S., Al-Khaled, K., Goswami, A., and Chattopadhyay, J., The effect of nanoparticles on plankton dynamics : A mathematical model, 127, 28–41, Biosystems, 2014
  • 37 Rana, S., Bhattacharya, S., Pal, J., Guerekata, G.M., and Chattopadhyay, J., Paradox of enrichment : A fractional differential approach with memory, 392, 3610–3621, Physica A: Statistical Mechanics and its Applications, 2013
  • 38 Roy, P.K., Datta, A., and Rana, S., The fractional-order differential equation model of psoriatic pathogenesis: A mathematical study, 15(2), 35–46, African Diaspora Journal of Mathematics, 2013
  • 39 Roy, P.K., Mondal, J., Rana, S., and Datta, A., A.Host pathogen interactions with recovery rate using fractional-order derivative: A mathematical approach, 20(2), 251–261, Nonlinear Studies, 2013
  • 40 Roy, P.K., Rana, S., Datta, A., Sil, N., and Bhattacharya, S., Does theta-logistic growth have any stabilizing effect on population dynamics? - a study on the salton sea ecology, Bulletin of Calcutta Mathematical Society, 2013
  • 41 Samanta, S., Rana, S., Sharma, A., Misra, A.K., and Chattopadhyay, J., Effect of awareness programs by media on the epidemic outbreaks: A mathematical model, 219, 6965–6977, Applied Mathematics and Computation, 2013
  • 42 Tiwari, P.K., Rana, S., Misra, A.K., and Chattopadhyay, J., Effect of cross-diffusion on the patterns of algal bloom in a lake: A nonlinear analysis, 21(3), 443–462, Nonlinear Studies, 2013
  • Patents


    # Patents Year

    Citations


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    CITATION H-INDEX I-10 INDEX
    1403 15 21

    Created: 23 November 2019