Traveling wave solutions in partially degenerate cooperative reaction-diffusion systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Li, Bingtuan

关键词: Reaction-diffusion system;    Integral system;    Linear determinacy;    Spreading speed;    Traveling wave solution;   

DOI  :  10.1016/j.jde.2012.01.018

来源: Elsevier

【 摘 要 】

We study the existence of traveling wave solutions for partially degenerate cooperative reaction-diffusion systems that can have three or more equilibria. We show via integral systems that there exist traveling wave solutions in a partially degenerate reaction-diffusion system with speeds above two well-defined extended real numbers. We prove that the two numbers are the same and may be characterized as the spreading speed as well as the slowest speed of a class of traveling wave solutions provided that the linear determinacy conditions are satisfied. We demonstrate our theoretical results by examining a partially degenerate Lotka-Volterra competition model with advection terms. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free