Kalyan Manna

@vit.ac.in

Assistant Professor, Division of Mathematis, School of Advanced Sciences
Vellore Institute of Technology, Chennai Campus

Kalyan Manna


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https://researchid.co/kalyanmanna

EDUCATION

Doctor of Philosophy

RESEARCH INTERESTS

Mathematical Biology, Nonlinear Dynamics
24

Scopus Publications

555

Scholar Citations

14

Scholar h-index

18

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Spatiotemporal patterns of social protests: Reaction-diffusion approach
    A Morozov, K Manna, M Banerjee, S Petrovskii
    Chaos, Solitons & Fractals 208 (2), 118184 , 2026
    2026
  • Exploring the structural sensitivity in some spatially-explicit models of ecological dynamics
    K Manna, M Banerjee, S Petrovskii
    Chaos, Solitons & Fractals 204, 117759 , 2026
    2026
    Citations: 1
  • Biological models with nonlocal terms: Future scopes of research: Comment on “Nonlocal models in biology and life sciences: Sources, developments, and applications” by S. Pal …
    M Banerjee, K Manna, I Gaine
    Physics of Life Reviews 56, 29-32 , 2026
    2026
  • Effects of spatiotemporal, temporal and spatial nonlocal prey competitions on population distributions for a prey-predator system with generalist predation
    K Manna, S Pal, M Banerjee
    Discrete and Continuous Dynamical Systems- Series B 31 (1), 166-197 , 2026
    2026
  • Dynamics of a within-host HIV infection model with adaptive immunity
    S Samaddar, K Manna, M Banerjee
    Mathematics for Industry 38, 29-52 , 2024
    2024
    Citations: 1
  • On the structural sensitivity of some diffusion-reaction models of population dynamics
    K Manna, M Banerjee, S Petrovskii
    Physica D: Nonlinear Phenomena 467, 134220 , 2024
    2024
    Citations: 12
  • Dynamics of a prey–predator model with reproductive Allee effect for prey and generalist predator
    K Manna, M Banerjee
    Nonlinear Dynamics 112 (9), 7727-7748 , 2024
    2024
    Citations: 22
  • A generalized distributed delay model for hepatitis B virus infection with two modes of transmission and adaptive immunity: A mathematical study
    K Manna, K Hattaf
    Mathematical Methods in the Applied Sciences 45 (17), 11614-11634 , 2022
    2022
    Citations: 10
  • Spatiotemporal pattern formation in a prey-predator model with generalist predator
    K Manna, M Banerjee
    Mathematical Modelling of Natural Phenomena 17, 6 , 2022
    2022
    Citations: 22
  • Pattern formation in a three-species cyclic competition model
    K Manna, V Volpert, M Banerjee
    Bulletin of Mathematical Biology 83 (5), 52 , 2021
    2021
    Citations: 32
  • Analytical and numerical detection of traveling wave and wave-train solutions in a prey-predator model with weak Allee effect
    K Manna, S Pal, M Banerjee
    Nonlinear Dynamics 100 (3), 2989-3006 , 2020
    2020
    Citations: 9
  • Dynamics of a diffusive two-prey-one-predator model with nonlocal intra-specific competition for both the prey species
    K Manna, V Volpert, M Banerjee
    Mathematics 8 (1), 101 , 2020
    2020
    Citations: 32
  • Modeling the dynamics of hepatitis B virus infection in presence of capsids and immunity
    K Hattaf, K Manna
    Studies in Systems, Decision and Control 302, 269-294 , 2020
    2020
    Citations: 12
  • Spatiotemporal dynamics of a generalized HBV infection model with capsids and adaptive immunity
    K Manna, K Hattaf
    International Journal of Applied and Computational Mathematics 5 (3), 65 , 2019
    2019
    Citations: 24
  • Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay
    K Manna, M Banerjee
    Mathematical Biosciences and Engineering 16 (4), 2411-2446 , 2019
    2019
    Citations: 19
  • Stationary, non-stationary and invasive patterns for a prey-predator system with additive Allee effect in prey growth
    K Manna, M Banerjee
    Ecological Complexity 36, 206-217 , 2018
    2018
    Citations: 34
  • Dynamics of a delayed diffusive HBV infection model with capsids and CTL immune response
    K Manna
    International Journal of Applied and Computational Mathematics 4 (5), 116 , 2018
    2018
    Citations: 18
  • Combination therapy of pegylated interferon and lamivudine and optimal controls for chronic hepatitis B infection
    K Manna, SP Chakrabarty
    International Journal of Dynamics and Control 6 (1), 354-368 , 2018
    2018
    Citations: 14
  • A non-standard finite difference scheme for a diffusive HBV infection model with capsids and time delay
    K Manna
    Journal of Difference Equations and Applications 23 (11), 1901-1911 , 2017
    2017
    Citations: 20
  • Global properties of a HBV infection model with HBV DNA-containing capsids and CTL immune response
    K Manna
    International Journal of Applied and Computational Mathematics 3 (3), 2323-2338 , 2017
    2017
    Citations: 39

MOST CITED SCHOLAR PUBLICATIONS

  • Chronic hepatitis B infection and HBV DNA-containing capsids: Modeling and analysis
    K Manna, SP Chakrabarty
    Communications in Nonlinear Science and Numerical Simulation 22 (1-3), 383-395 , 2015
    2015
    Citations: 90
  • Global stability and a non-standard finite difference scheme for a diffusion driven HBV model with capsids
    K Manna, SP Chakrabarty
    Journal of Difference Equations and Applications 21 (10), 918-933 , 2015
    2015
    Citations: 61
  • Global stability of one and two discrete delay models for chronic hepatitis B infection with HBV DNA-containing capsids
    K Manna, SP Chakrabarty
    Computational and Applied Mathematics 36 (1), 525-536 , 2017
    2017
    Citations: 58
  • Global properties of a HBV infection model with HBV DNA-containing capsids and CTL immune response
    K Manna
    International Journal of Applied and Computational Mathematics 3 (3), 2323-2338 , 2017
    2017
    Citations: 39
  • Stationary, non-stationary and invasive patterns for a prey-predator system with additive Allee effect in prey growth
    K Manna, M Banerjee
    Ecological Complexity 36, 206-217 , 2018
    2018
    Citations: 34
  • Pattern formation in a three-species cyclic competition model
    K Manna, V Volpert, M Banerjee
    Bulletin of Mathematical Biology 83 (5), 52 , 2021
    2021
    Citations: 32
  • Dynamics of a diffusive two-prey-one-predator model with nonlocal intra-specific competition for both the prey species
    K Manna, V Volpert, M Banerjee
    Mathematics 8 (1), 101 , 2020
    2020
    Citations: 32
  • Spatiotemporal dynamics of a generalized HBV infection model with capsids and adaptive immunity
    K Manna, K Hattaf
    International Journal of Applied and Computational Mathematics 5 (3), 65 , 2019
    2019
    Citations: 24
  • Dynamics of a prey–predator model with reproductive Allee effect for prey and generalist predator
    K Manna, M Banerjee
    Nonlinear Dynamics 112 (9), 7727-7748 , 2024
    2024
    Citations: 22
  • Spatiotemporal pattern formation in a prey-predator model with generalist predator
    K Manna, M Banerjee
    Mathematical Modelling of Natural Phenomena 17, 6 , 2022
    2022
    Citations: 22
  • Dynamics of a diffusion-driven HBV infection model with capsids and time delay
    K Manna
    International Journal of Biomathematics 10 (5), 1750062 (18 pages) , 2017
    2017
    Citations: 21
  • A non-standard finite difference scheme for a diffusive HBV infection model with capsids and time delay
    K Manna
    Journal of Difference Equations and Applications 23 (11), 1901-1911 , 2017
    2017
    Citations: 20
  • Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay
    K Manna, M Banerjee
    Mathematical Biosciences and Engineering 16 (4), 2411-2446 , 2019
    2019
    Citations: 19
  • Dynamics of a delayed diffusive HBV infection model with capsids and CTL immune response
    K Manna
    International Journal of Applied and Computational Mathematics 4 (5), 116 , 2018
    2018
    Citations: 18
  • Combination therapy of pegylated interferon and lamivudine and optimal controls for chronic hepatitis B infection
    K Manna, SP Chakrabarty
    International Journal of Dynamics and Control 6 (1), 354-368 , 2018
    2018
    Citations: 14
  • On the structural sensitivity of some diffusion-reaction models of population dynamics
    K Manna, M Banerjee, S Petrovskii
    Physica D: Nonlinear Phenomena 467, 134220 , 2024
    2024
    Citations: 12
  • Modeling the dynamics of hepatitis B virus infection in presence of capsids and immunity
    K Hattaf, K Manna
    Studies in Systems, Decision and Control 302, 269-294 , 2020
    2020
    Citations: 12
  • A generalized distributed delay model for hepatitis B virus infection with two modes of transmission and adaptive immunity: A mathematical study
    K Manna, K Hattaf
    Mathematical Methods in the Applied Sciences 45 (17), 11614-11634 , 2022
    2022
    Citations: 10
  • Analytical and numerical detection of traveling wave and wave-train solutions in a prey-predator model with weak Allee effect
    K Manna, S Pal, M Banerjee
    Nonlinear Dynamics 100 (3), 2989-3006 , 2020
    2020
    Citations: 9
  • Dynamics and analysis of a model for chronic hepatitis B infection
    K Manna, SP Chakrabarty
    Journal of Interdisciplinary Mathematics 20 (2), 339-355 , 2017
    2017
    Citations: 4