Traveling wave solution for a reaction-diffusion competitive-cooperative system with delays

Boundary value problems

Zengji Du¹  Dongcheng Xu¹ 

[1] School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, P.R. China

关键词: reaction-diffusion system;    traveling wave solution;    upper-lower solution;    92D25;    35K57;   

DOI  :  10.1186/s13661-016-0556-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the existence of traveling wave solution to a three species reaction-diffusion system with delays, which includes competitive relationship, cooperative relationship and predator-prey relationship. By using the method of upper-lower solutions, the cross iteration method and Schauder’s fixed point theorem, the existence of a traveling wave solution is obtained.

【 授权许可】

CC BY