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    题名: Propagation and blocking in periodically hostile environments
    作者: Guo, Jong-Shenq
    贡献者: 淡江大學數學學系
    日期: 2012-02-17
    上传时间: 2014-12-09 16:08:51 (UTC+8)
    摘要: We study the persistence and propagation (or blocking) phenomena for a species in periodically hostile environments. The problem is described by a reaction-diffusion equation with zero Dirichlet boundary condition. We first derive the existence of a minimal nonnegative nontrivial stationary solution and study the large-time behavior of the solution of the initial boundary value problem. Then we provide a simple geometric condition for the blocking of propagation and we derive the asymptotic behavior of the approximated pulsating traveling fronts. Moreover, for the case of constant diffusion matrix, we provide two conditions for which the limit of approximated minimal speeds is positive.
    显示于类别:[數學學系暨研究所] 會議論文

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