School of Science
Chang'an University
Xi'an, Shaanxi 710064, China
email: baoxx2016@chd.edu.cn
School of Mathematics and Statistics
Lanzhou University
Lanzhou, Gansu 730000, China
email: liting2017@lzu.edu.cn
Xiongxiong Bao, Ting Li
Abstract:
This article concerns the existence and global stability of bistable traveling
waves for a competitive-cooperative recursion system. We first show that the
spatially homogeneous system associated with the competitive-cooperative
recursion system admits a bistable structure.
Then using the theory of bistable waves for monotone semiflows and a dynamical
system approach, we prove that there exists an unique and global stable
traveling wave solution connecting two stable equilibria for such recursion
system under appropriate conditions.
Submitted September 19, 2019. Published August 17, 2020.
Math Subject Classifications: 45G15, 45M10, 92D25.
Key Words: Existence; global stability; traveling waves;
competitive-cooperative recursion system.
Show me the PDF file (371 KB), TEX file for this article.
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Xiongxiong Bao School of Science Chang'an University Xi'an, Shaanxi 710064, China email: baoxx2016@chd.edu.cn |
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Ting Li School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: liting2017@lzu.edu.cn |
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