Existence and stability of traveling waves for a competitive-cooperative recursion system
| dc.contributor.author | Bao, Xiongxiong | |
| dc.contributor.author | Li, Ting | |
| dc.date.accessioned | 2021-10-04T17:32:23Z | |
| dc.date.available | 2021-10-04T17:32:23Z | |
| dc.date.issued | 2020-08-17 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14595 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Existence | |
| dc.subject | Global stability | |
| dc.subject | Traveling waves | |
| dc.subject | Competitive-cooperative recursion system | |
| dc.title | Existence and stability of traveling waves for a competitive-cooperative recursion system | |
| dc.type | Article |