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 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 …

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

Of concern in the present theoretical study is to carry out the complex dynamics of a reaction-
diffusion predator-prey model incorporating constant proportion of prey refuge and nonlinear …

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 …

Pattern formation in nonlinear complex systems is one of the central problems of the natural,
social and technological sciences. In this paper, we consider a mathematical model of …

In this paper, we propose a diffusive prey-predator system with mutually interfering predator
(Crowley–Martin functional response) and prey reserve. In particular, we develop and …

In this paper, we study a diffusive predator–prey system with the Allee effect and threshold
hunting. First, the number of interior equilibrium points is determined by discussing the …

The present research is concerned with the combined outcome of the cooperative hunting
and prey refuge in a spatiotemporal predator–prey model. Firstly, the problem is confirmed …

The present investigation deals with the necessary conditions for Turing instability with zero-
flux boundary conditions that arise in a ratio-dependent predator–prey model involving the …