Ratio-dependent predator–prey models have been increasingly favored by field ecologists
where predator–prey interactions have to be taken into account the process of predation …

In this paper, we propose a diffusive prey-predator model with stage structure for the
predator. We first analyze the stability of the nonnegative steady states for the reduced ODE …

We present the analysis of two reaction–diffusion systems modelling predator–prey
interactions, where the predator displays the Holling type II functional response, and in the …

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 Gause type predator–prey system with constant-yield prey harvesting and
monotone ascending functional response is proposed and investigated. We focus on the …

In this paper, we consider a two-dimensional ratio-dependent prey–predator model
involving discrete time delay within fluctuating environment. Firstly, we discuss basic …

In this paper, we present a theoretical analysis of processes of pattern formation that
involves organisms distribution and their interaction of spatially distributed population with …

Competitive behavior, like predation, widely exists in the world which has influences on the
dynamics of ecosystems. Though a good knowledge for the patten formation and selection …

Cross-diffusion models the situation where the presence, absence or abundance of one
species of population affects the movement of other species of population in the domain …

A diffusive predator–prey system with predator functional response subject to Neumann
boundary conditions is considered. Existence, nonexistence, and boundedness of non …