Turing pattern of a reaction-diffusion predator-prey model with weak Allee effect and delay

Abstract

In this paper, we investigate a reaction-diffusion model with gestation delay and weak Allee effect. The conditions of delay-induced instability are obtained after stability analysis. By using numerical simulation, we discuss the effects of gestation delay and weak Allee effect on the Turing pattern. The results show that weak Allee effect and gestation delay can change the pattern formations. This means Allee effect and delay play significant roles in spatial invasion of populations.