Publications

International Journal Publications

1. Vikas Kumar and Nitu Kumari, “Exploring the impact of time delay with fractional derivative and diffusion in a three-species food chain model”, Iranian Journal of Science, Springer (2025), Accepted. 

2. *Vikas Kumar, “Prey-taxis and time delay induced instabilities in a prey-predator system incorporating the Smith growth function”, International Journal of Biomathematics, World Scientific, (2025).

3. *Vikas Kumar*, “Pattern formation and delay-induced instability in a Leslie-Gower type prey-predator system with Smith growth function”, Mathematics and Computers in Simulation, Elsevier, (2024), 225, 78-97.

4. Vikas Kumar, Nitu Kumari, and Ravi P. Agarwal, “Spatiotemporal Dynamics and Turing Patterns in an Eco-epidemiological Model with Cannibalism”,  Results in Control and Optimization, Elsevier, (2022), 100183.

5. Dipesh Barman, Vikas Kumar, Jyotirmoy Roy and Shariful Alam, “Impact of wind and herd behavior in a predator-prey interaction model with spatiotemporal dynamics”, The European Physical Journal Plus, Springer, (2022), 137, 950.

6. Vikas Kumar and Bulti Pramanick,  "Impact of nanoparticles on the dynamics of a Crowley-Martin type phytoplankton-zooplankton interaction model'',  Results in Control and Optimization, Elsevier,  (2022), 100139.

7. Nitu Kumari and Vikas Kumar, “Control of Chaos and Pattern Formation in a Three Species Food Chain Model with Cannibalism in Intermediate Predator”, The European Physical Journal Plus, Springer, (2022), 137, 345.

8. *Vikas Kumar and Nitu Kumari “Stability and Bifurcation Analysis of Fractional-Order Delayed Prey-Predator System and the Effect of Diffusion”, International Journal of Bifurcation and Chaos, World Scientific, (2022), 32(01), 2250002.

9. *Vikas Kumar and Nitu Kumari, “Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Ivlev-like nonmonotonic functional response”, Chaos, Solitons and Fractals, Elsevier, (2021), 147, 110964. 

10.  Vikas Kumar and Nitu Kumari “Controlling chaos in three species food chain model with fear effect”, AIMS Mathematics, (2020), 5(2): 828-842. 

11. Vikas Kumar and Nitu Kumari, “Stability and Bifurcation Analysis of Hassell-Varley Prey-Predator System with Fear Effect”, International Journal of Applied and Computational Mathematics, Springer, (2020) 6(5): 1-20. 

12. Binayak Nath, Nitu Kumari, Vikas Kumar, and Krishna Pada Das. “Refugia and Allee Effect in Prey Species Stabilize Chaos in a Tri-Trophic Food Chain Model” Differential Equations and Dynamical Systems, Springer, (2022), 30(3), 631–657.

13. Binayak Nath, Vikas Kumar, Nitu Kumari, Somnath Maiti and Krishna Pada Das. “A Study of Chaos and its Possible Control in an Eco-epidemiological Model with an Alternative Food Source in Predator and Weak Allee Effect in Prey Species” Nonlinear Studies, (2020), 27(3): 725-751. 

International Conference Proceedings

1.  Vikas Kumar and Nitu Kumari, “Pattern Formation Study of Hassell-Varley Prey-Predator System with Fear Effect”, AIP Conference Proceedings, (2022), 2435, 020053.

*Best Publications