Turing Patterns for a Nonlocal Lotka–Volterra Cooperative System

Abstract This paper is devoted to investigating the pattern dynamics of Lotka–Volterra cooperative system with nonlocal effect and finding some new phenomena. Firstly, by discussing Turing bifurcation, we build conditions instability, which indicates emergence patterns in this system. Then, using multiple scale analysis, obtain amplitude equations about different patterns. Furthermore, all possible structures model are obtained through transformation stability analysis. Finally, two given numerical simulation.