Spreading Dynamics for a Three Species Predator–Prey System with Two Preys in a Shifting Environment

Abstract

This paper deals with the long time behavior of a reaction–diffusion system modeling the spatio-temporal interaction of two preys and one predator in a shifting environment. Here the prey populations weakly compete, and the environment becomes hostile for the three species with a constant positive speed. We investigate the survival of the species and describe the spreading speeds of different species. The dynamical behavior exhibits various regions composed of different combinations of species, which propagate with different wave speeds.