Existence and stability of invasion traveling waves for a competition system with random vs.nonlocal dispersals

• 作者: Jiao Wang Yanling Meng Zhixian Yu
• 来源期刊: 生物数学学报:英文版
• 学科: 社会科学
• 关键词: EXISTENCE STABILITY COMPETITIVE system comparison PRINCIPLE WEIGHTED energy
• 年，卷（期）: 2019,（1）
• 页码范围: 71-91
• 页数: 21页
• 分类号: G

摘要

The purpose of this paper is to investigate asymptotic behaviors of the solutions for a competition system with random vs.nonlocal dispersal.We first prove the existence of invasion traveling waves via using the theory of asymptotic speeds of spread.Then we prove the invasion traveling waves are exponentially stable as perturbation in some exponentially weighted spaces by using the weighted energy and the squeezing technique.