32 citations · 88 across the 17 of their papers we have counts for
5 papers · 1 filter
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…
Bifurcation analysis of the predator-prey model with the Allee effect in the predator
Deeptajyoti Sen, Andrew Morozov, S. Ghorai +1
The use of predator-prey models in theoretical ecology has a long history, and the model equations have largely evolved since the original Lotka-Volterra system towards more realis…
Immuno-epidemiological model of two-stage epidemic growth
Malay Banerjee, Alexey Tokarev, Vitaly Volpert
Epidemiological data on seasonal influenza show that the growth rate of the number of infected individuals can increase passing from one exponential growth rate to another one with…
On a quarantine model of coronavirus infection and data analysis
Vitaly Volpert, Malay Banerjee, Sergei Petrovskii
Attempts to curb the spread of coronavirus by introducing strict quarantine measures apparently have different effect in different countries: while the number of new cases has repo…
Spatiotemporal pattern formation in a prey-predator model under environmental driving forces
Anuj Kumar Sirohi, Malay Banerjee, Anirban Chakraborti
Many existing studies on pattern formation in the reaction-diffusion systems rely on deterministic models. However, environmental noise is often a major factor which leads to signi…