We are concerned with a reaction-diffusion predator–prey model under homogeneous
Neumann boundary condition incorporating prey refuge (proportion of both the species) and …

The present research deals with the emergence of spatiotemporal patterns of a two-
dimensional (2D) continuous predator–prey system with cross-diffusion effect. First, we work …

Vegetation pattern is caused by local instability in phase space, which can reflect the
distribution characteristics of vegetation in the studied space. In semi-arid environment, the …

This paper focuses on the dynamical behavior of a Lotka–Volterra competitive system with
nonlocal delay. We first establish the conditions of Turing bifurcation occurring in the system …

In this research, we are interested in analyzing the behavior of a diffusive predator–prey
model in the presence of predator rivalry and prey social behavior. The predator rivalry …

In this paper, we investigate the phenomena of pattern formation for a predator–prey model
with herd behavior and cross-diffusion. We give the conditions for cross-diffusion induced …

The present paper is dealt with a predator–prey model in which the growth of the prey
population is influenced by the Allee effect while the predator species are contended with …

A modified Holling type II (variable predator search rate rather than constant) predator–prey
interaction has been proposed where apart from direct consumption the prey biomass is …

In this work, we propose an age‐structured prey–predator model with infection developed in
the prey population. Our main goal is to distinguish the effect of the predator maturation …

In this paper, an SIR spatiotemporal epidemic model is formulated as a system of parabolic
partial differential equations with no-flux boundary conditions. Immunity is forced through …