Turing instability for a competitor-competitor-mutualist model with nonlinear cross-diffusion effects

• Published in: Chaos, solitons and fractals Vol. 91; pp. 379 - 385
• Main Authors: Wen, Zijuan, Fu, Shengmao
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2016
• Subjects: Competitor-competitor-mutualist; Cross-diffusion; Global asymptotic stability; Persistence; Turing instability; Persistence; Global asymptotic stability; Cross-diffusion; Turing instability; Competitor-competitor-mutualist

This paper deals with a strongly coupled reaction-diffusion system modeling a competitor-competitor-mutualist three-species model with diffusion, self-diffusion and nonlinear cross-diffusion and subject to Neumann boundary conditions. First, we establish the persistence of a corresponding reaction-d...