Bao, XiongxiongLi, Ting2021-10-042021-10-042020-08-17Bao, 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. 1-17.1072-6691https://hdl.handle.net/10877/14595This 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.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalExistenceGlobal stabilityTraveling wavesCompetitive-cooperative recursion systemArticle