The stability of traveling wave solutions for a diffusive competition system of three species

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:459

Article

Chang, Chueh-Hsin¹ 

[1] Tunghai Univ, Dept Appl Math, Taichung, Taiwan

关键词: Lotka-Volterra;    Competition-diffusion system;    Stability;    Traveling waves;   

DOI  :  10.1016/j.jmaa.2017.10.013

来源: Elsevier

【 摘 要 】

In this article, we investigate the stability of monotone traveling wave solutions for a diffusive three species competition system. By considering the initial perturbations of the traveling waves in some weighted function spaces, the monotone three-species waves become asymptotically stable. Further stability will be determined from the asymptotic behavior of the waves. This can be achieved by using the method of super- and subsolutions. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free