Vikas Kumar

@sites.google.com

Assistant Professor (Permanent)
Ramjas College, University of Delhi

Vikas Kumar


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https://researchid.co/vikkuresearcher
Currently, I am working as an Assistant Professor (Permanent) at the Department of Mathematics, Ramjas College, University of Delhi, Delhi, India. I have completed a contractual Assistant Professor (adiunkt- research academics) position at the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland. I completed PhD in Mathematics from the School of Basic Sciences (School of Mathematical & Statistical Sciences), Indian Institute of Technology Mandi, Himachal Pradesh, India. I received my M.Sc. in Applied Mathematics from Gautam Buddha University, Uttar Pradesh, India.

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Modeling and Simulation, Ecological Modeling, Biochemistry
14

Scopus Publications

303

Scholar Citations

9

Scholar h-index

9

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Exploring the Impact of Time Delay with Fractional Derivative and Diffusion in a Three-Species Food Chain Model
    V Kumar, N Kumari
    Iranian Journal of Science, 1-20 , 2025
    2025
    Citations: 1
  • Prey-taxis and time delay induced instabilities in a prey–predator system incorporating the smith growth function
    V Kumar
    International Journal of Biomathematics, 2550066 , 2025
    2025
    Citations: 1
  • Pattern formation and delay-induced instability in a Leslie–Gower type prey–predator system with Smith growth function
    V Kumar
    Mathematics and Computers in Simulation 225, 78-97 , 2024
    2024
    Citations: 13
  • Spatiotemporal dynamics and Turing patterns in an eco-epidemiological model with cannibalism
    V Kumar, N Kumari, RP Agarwal
    Results in Control and Optimization 9, 100183 , 2022
    2022
    Citations: 16
  • Impact of nanoparticles on the dynamics of a Crowley–Martin type phytoplankton–zooplankton interaction model
    V Kumar, B Pramanick
    Results in Control and Optimization 8, 100139 , 2022
    2022
    Citations: 5
  • Modeling wind effect and herd behavior in a predator–prey system with spatiotemporal dynamics
    D Barman, V Kumar, J Roy, S Alam
    The European Physical Journal Plus 137 (8), 950 , 2022
    2022
    Citations: 38
  • Refugia and Allee effect in prey species stabilize chaos in a tri-trophic food chain model
    B Nath, N Kumari, V Kumar, KP Das
    Differential Equations and Dynamical Systems 30 (3), 631-657 , 2022
    2022
    Citations: 59
  • Pattern formation study of Hassell-Varley prey-predator system with fear effect
    V Kumar, N Kumari
    AIP Conference Proceedings 2435 (1), 020053 , 2022
    2022
    Citations: 8
  • Controlling chaos and pattern formation study in a tritrophic food chain model with cannibalistic intermediate predator
    N Kumari, V Kumar
    The European Physical Journal Plus 137 (3), 1-23 , 2022
    2022
    Citations: 26
  • Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion
    V Kumar, N Kumari
    International Journal of Bifurcation and Chaos 32 (01), 2250002 , 2022
    2022
    Citations: 12
  • Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Ivlev-like nonmonotonic functional response
    V Kumar, N Kumari
    Chaos, Solitons & Fractals 147, 110964 , 2021
    2021
    Citations: 43
  • Stability and bifurcation analysis of Hassell–Varley prey–predator system with fear effect
    V Kumar, N Kumari
    International Journal of Applied and Computational Mathematics 6 (5), 150 , 2020
    2020
    Citations: 33
  • A study of chaos and its possible control in an eco-epidemiological model with alternative food source in predator and weak allee effect in prey species.
    B Nath, V Kumar, N Kumari, K Pada Das, S Maiti
    Nonlinear Studies 27 (3) , 2020
    2020
    Citations: 1
  • Controlling chaos in three species food chain model with fear effect
    V Kumar, N Kumari
    AIMS Math 5 (2), 828-842 , 2020
    2020
    Citations: 47

MOST CITED SCHOLAR PUBLICATIONS

  • Refugia and Allee effect in prey species stabilize chaos in a tri-trophic food chain model
    B Nath, N Kumari, V Kumar, KP Das
    Differential Equations and Dynamical Systems 30 (3), 631-657 , 2022
    2022
    Citations: 59
  • Controlling chaos in three species food chain model with fear effect
    V Kumar, N Kumari
    AIMS Math 5 (2), 828-842 , 2020
    2020
    Citations: 47
  • Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Ivlev-like nonmonotonic functional response
    V Kumar, N Kumari
    Chaos, Solitons & Fractals 147, 110964 , 2021
    2021
    Citations: 43
  • Modeling wind effect and herd behavior in a predator–prey system with spatiotemporal dynamics
    D Barman, V Kumar, J Roy, S Alam
    The European Physical Journal Plus 137 (8), 950 , 2022
    2022
    Citations: 38
  • Stability and bifurcation analysis of Hassell–Varley prey–predator system with fear effect
    V Kumar, N Kumari
    International Journal of Applied and Computational Mathematics 6 (5), 150 , 2020
    2020
    Citations: 33
  • Controlling chaos and pattern formation study in a tritrophic food chain model with cannibalistic intermediate predator
    N Kumari, V Kumar
    The European Physical Journal Plus 137 (3), 1-23 , 2022
    2022
    Citations: 26
  • Spatiotemporal dynamics and Turing patterns in an eco-epidemiological model with cannibalism
    V Kumar, N Kumari, RP Agarwal
    Results in Control and Optimization 9, 100183 , 2022
    2022
    Citations: 16
  • Pattern formation and delay-induced instability in a Leslie–Gower type prey–predator system with Smith growth function
    V Kumar
    Mathematics and Computers in Simulation 225, 78-97 , 2024
    2024
    Citations: 13
  • Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion
    V Kumar, N Kumari
    International Journal of Bifurcation and Chaos 32 (01), 2250002 , 2022
    2022
    Citations: 12
  • Pattern formation study of Hassell-Varley prey-predator system with fear effect
    V Kumar, N Kumari
    AIP Conference Proceedings 2435 (1), 020053 , 2022
    2022
    Citations: 8
  • Impact of nanoparticles on the dynamics of a Crowley–Martin type phytoplankton–zooplankton interaction model
    V Kumar, B Pramanick
    Results in Control and Optimization 8, 100139 , 2022
    2022
    Citations: 5
  • Exploring the Impact of Time Delay with Fractional Derivative and Diffusion in a Three-Species Food Chain Model
    V Kumar, N Kumari
    Iranian Journal of Science, 1-20 , 2025
    2025
    Citations: 1
  • Prey-taxis and time delay induced instabilities in a prey–predator system incorporating the smith growth function
    V Kumar
    International Journal of Biomathematics, 2550066 , 2025
    2025
    Citations: 1
  • A study of chaos and its possible control in an eco-epidemiological model with alternative food source in predator and weak allee effect in prey species.
    B Nath, V Kumar, N Kumari, K Pada Das, S Maiti
    Nonlinear Studies 27 (3) , 2020
    2020
    Citations: 1