Existence and stability of traveling wavefronts for discrete three species competitive-cooperative systems

Mathematical Biosciences and Engineering

Cheng-Hsiung Hsu¹  Jian-Jhong Lin²  Shi-Liang Wu³ 

[1] 1. Department of Mathematics, National Central University, Chungli 32001, Taiwan;2. General Education Center, National Taipei University of Technology, Taipei 10608, Taiwan;3. School of Mathematics and Statistics, Xidian University, Xi’an, Shaanxi, 710071, P.R. China;

关键词: traveling wavefronts;    monotone system;    supersolution;    subsolution;    weighted energy estimate;   

DOI  :  10.3934/mbe.2019207

来源: DOAJ

【 摘 要 】

The purpose of this work is to investigate the existence and stability of traveling wavefronts for competitive-cooperative systems with three species. The existence result can be derived by using the technique of monotone method with the help of a pair of explicit supersolution and subsolution. Moreover, some su cient conditions ensure the linear determinacy for the minimal speed is given. Then, applying the weighted energy method, we prove that the traveling wavefronts are asymptotically stable in the weighted Banach spaces provided that the initial perturbations of the traveling wavefronts also belong to the same spaces.

【 授权许可】

Unknown