Spatial movement with nonlocal memory and distributed delay

Abstract

A single species spatial population model with nonlocal memory diffusion and distributed delay is formulated. Taking the memory delay and distributed delay as bifurcation parameters, we study the stability of the positive homogeneous steady state and bifurcation behaviors. The results show that the joint effect of distributed delay and memory delay induces the occurrence of multiple stability switches, which is impossible for the system without the distributed delay.