Existence and stability of traveling waves for a competitive-cooperative recursion system
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Date
2020-08-17
Authors
Bao, Xiongxiong
Li, Ting
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Existence, Global stability, Traveling waves, Competitive-cooperative recursion system
Citation
Bao, X., & Li, T. (2020). Existence and stability of traveling waves for a competitive-cooperative recursion system. <i>Electronic Journal of Differential Equations, 2020</i>(88), pp. 1-17.
Rights
Attribution 4.0 International