Existence and stability of traveling waves for a competitive-cooperative recursion system
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2020-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2020/88/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |