This paper investigates the large time behaviour of a three species reaction–diffusion
system, modelling the spatial invasion of two predators feeding on a single prey species. In …

In this paper, we consider a class of non-cooperative diffusion–reaction systems, which
include prey–predator models and disease-transmission models. The concept of weak …

In this paper we further extend a recently developed method to investigate the existence of
traveling waves solutions and their minimum wave speed for non-monotone reaction …

We study traveling wave solutions for Holling–Tanner type predator–prey models, where the
predator equation has a singularity at zero prey population. The traveling wave solutions …

In this paper, we study the traveling wave solutions and minimal wave speed for a class of
non-cooperative reaction–diffusion systems consisting of three equations. Based on the …

This paper is concerned with the traveling wave solutions of a predator–prey system, in
which intra-specific conflictions are involved. By using the comparison principle and the …

Cyclical population dynamics are a common phenomenon in populations worldwide, yet the
spatial organization of these cycles remains poorly understood. In this study, we investigated …

In this paper, we first derive a theorem on the convergence of solutions to traveling waves in
reaction-diffusion systems with equal diffusivities. Then we apply this theorem to some …

In this paper we study a reaction–diffusion–advection predator–prey model in a river. The
existence of predator-invasion traveling wave solutions and prey-spread traveling wave …

This paper focuses on traveling wave solutions for the so-called Rosenzweig–MacArthur
predator–prey model with spatial diffusion. The main results of this note are concerned with …