The Effect of Time Delay in a Two-Patch Model with Random Dispersal

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作者
Kang-Ling Liao
Yuan Lou
机构
[1] The Ohio State University,Mathematical Biosciences Institute
[2] The Ohio State University,Department of Mathematics
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Delay; Patch; Hopf bifurcation; Dispersal;
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摘要
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 τc for the time delay τ such that the unique positive equilibrium of the system is locally asymptotically stable for τ∈[0,τc) and unstable for τ>τc.
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页码:335 / 376
页数:41
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