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- Title
The Effect of Time Delay in a Two-Patch Model with Random Dispersal.
- Authors
Liao, Kang-Ling; Lou, Yuan
- Abstract
We consider a two-patch model for a single species with dispersal and time delay. For some explicit range of dispersal rates, we show that there exists a critical value τ for the time delay τ such that the unique positive equilibrium of the system is locally asymptotically stable for τ∈[0, τ) and unstable for τ> τ.
- Subjects
TIME delay systems; MATHEMATICAL models; HOPF bifurcations; BIFURCATION theory; BIOMATHEMATICS; PROCESS control systems
- Publication
Bulletin of Mathematical Biology, 2014, Vol 76, Issue 2, p335
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-013-9921-7