Spatial patterns through diffusion-driven instability are stationary structures that appear
spontaneously upon breaking the symmetry of the spatial domain, which results only from …

A spatially heterogeneous reaction-diffusion system modelling pre-dator-prey interaction is
studied, where the interaction is governed by a Holling type II functional response. Existence …

In this paper, we consider a generalized predator–prey system with prey-taxis under
Neumann boundary condition, that is, the predators can survive even in the absence of the …

This paper is concerned with the Holling–Tanner prey–predator model subject to the
homogeneous Neumann boundary condition. We will show that under certain hypotheses …

In this paper, spatial patterns of a Holling–Tanner predator-prey model subject to cross
diffusion, which means the prey species exercise a self-defense mechanism to protect …

In this paper, we investigate the spatiotemporal dynamics of a two-dimensional predator–
prey model, which is based on a modified version of the Leslie–Gower scheme …

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 …

The present paper deals with a prey–predator model with prey refuge in proportion to both
species, and the independent harvesting of each species. Our study shows that using refuge …

In this paper, first we consider the global dynamics of a ratio-dependent predator–prey
model with density dependent death rate for the predator species. Analytical conditions for …

In this paper, we develop a theoretical framework about spatial patterns in a three-species
predator–prey–mutualist system with cross-diffusion. We concentrate on three aspects of …