The Effect of Time Delay in a Two-Patch Model with Random Dispersal |
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| Authors: | Kang-Ling Liao Yuan Lou |
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| Institution: | 1. Mathematical Biosciences Institute, The Ohio State University, Ohio, 43210, USA
2. Department of Mathematics, The Ohio State University, Ohio, 43210, USA
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| 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 c for the time delay τ such that the unique positive equilibrium of the system is locally asymptotically stable for τ∈0,τ c ) and unstable for τ>τ c . |
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