32 citations · 88 across the 17 of their papers we have counts for
7 papers · 1 filter
Normal form for singular Bautin bifurcation in a slow-fast system with Holling type III functional response
Tapan Saha, Pranali Roy Chowdhury, Pallav Jyoti Pal +1
Over the last few decades, complex oscillations of slow-fast systems have been a key area of research. In the theory of slow-fast systems, the location of singular Hopf bifurcation…
Structural sensitivity of chaotic dynamics in Hastings-Powell's model
Indrajyoti Gaine, Swadesh Pal, Poulami Chatterjee +1
The classical Hastings-Powell model is well known to exhibit chaotic dynamics in a three-species food chain. Chaotic dynamics appear through period-doubling bifurcation of stable c…
Spatio-temporal dynamics in a diffusive Bazykin model: effects of group defense and prey-taxis
Subrata Dey, Malay Banerjee, S. Ghorai
Mathematical modeling and analysis of spatial-temporal population distributions of interacting species have gained significant attention in biology and ecology in recent times. In…
Dynamics of infectious diseases in predator-prey populations: a stochastic model, sustainability, and invariant measure
Yujie Gao, Malay Banerjee, Ton Viet Ta
This paper introduces an innovative model for infectious diseases in predator-prey populations. We not only prove the existence of global non-negative solutions but also establish…
Spatio-temporal chaos and clustering induced by nonlocal information and vaccine hesitancy in the SIR epidemic model
Malay Banerjee, Samiran Ghosh, Piero Manfredi +1
Human behavior, and in particular vaccine hesitancy, is a critical factor for the control of childhood infectious disease. Here we propose a spatio-temporal behavioral epidemiology…
Saddle-Node Bifurcation of Periodic Orbit Route to Hidden Attractors in Nonlinear Dynamical Systems
Suresh Kumarasamy, Malay Banerjee, Vaibhav Varshney +3
Hidden attractors are present in many nonlinear dynamical systems and are not associated with equilibria, making them difficult to locate. Recent studies have demonstrated methods…
Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth
Subrata Dey, S Ghorai, Malay Banerjee
Allee effect in population dynamics has a major impact in suppressing the paradox of enrichment through global bifurcation, and it can generate highly complex dynamics. The influen…