The ratio-dependent predator–prey model exhibits rich dynamics due to the singularity of the
origin. Harvesting in a ratio-dependent predator–prey model is relatively an important …

We study a reaction diffusion system arising from a three-species prey–predator model with
prey-dependent and ratio-dependent functional responses. The main aim of this paper is to …

In this paper, we investigate theoretically and numerically a 2-D spatio-temporal dynamics of
a predator-prey mathematical model which incorporates the Holling type II and a modified …

In this paper, the spatial, temporal and spatiotemporal dynamics of a reaction–diffusion
predator–prey system with mutual interference described by the Crowley–Martin-type …

A diffusive predator–prey system with Michaelis–Menten type functional response subject to
prey refuge is considered. Bifurcation analysis of Hopf and Turing are carried out in detail. In …

In the realm of ecology, species naturally strive to enhance their own survival odds. This
study introduces and investigates a predator‐prey model incorporating reaction‐diffusion …

Generalist predators have several food sources and do not depend on one prey species to
survive. There has been considerable attention paid by modellers to generalist predator …

The dynamics of a reaction–diffusion predator–prey system with strong Allee effect in the
prey population is considered. Nonexistence of nonconstant positive steady state solutions …

A reaction–diffusion interacting species system with Beddington–DeAngelis functional
response that has been proposed in the environment of mathematical ecology, which …

In this paper, we propose and study the dynamics of a diffusive prey–predator model with
general functional response and stage-structure for the prey. Firstly, we consider the …