An appropriate mathematical structure to describe the population dynamics is given by the
partial differential equations of reaction–diffusion type. The spatiotemporal dynamics and …

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

In real-world ecosystem, studies on the mechanisms of spatiotemporal pattern formation in a
system of interacting populations deserve special attention for its own importance in …

The present investigation deals with the problem of a two-dimensional diffusive predator–
prey model incorporating prey refuge. In this investigation, we determine the Turing space in …

The study of spatial pattern formation through diffusion-driven instability of reaction–diffusion
models of interacting species has long been one of the fundamental problems in …

The pattern formation in reaction–diffusion system has long been the subject of interest to
the researchers in the domain of mathematical ecology because of its universal existence …

This paper is concerned with some mathematical analysis and numerical aspects of a
reaction–diffusion system with cross-diffusion. This system models a modified version of …

In this paper, a diffusive predator-prey model subject to the zero flux boundary conditions is
considered, in which the prey population exhibits social behavior and the harvesting …

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 propose and analyse a reaction-diffusion-advection predatorprey model in which we
assume that predators move randomly but prey avoid predation by perceiving a repulsion …