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    題名: Propagation and blocking in periodically hostile environments
    作者: Guo, Jong-shenq;Hamel, Francois
    貢獻者: 淡江大學數學學系
    日期: 2012-06
    上傳時間: 2012-05-22 17:06:33 (UTC+8)
    出版者: Heidelberg: Springer
    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. To the main goal, we then study a sequence of approximated problems in the whole space with reaction terms which are with very negative growth rates outside the domain under investigation. Finally, for a given unit vector, by using the information of the minimal speeds of approximated problems, we provide a simple geometric condition for the blocking of propagation and we derive the asymptotic behavior of the approximated pulsating travelling fronts. Moreover, for the case of constant diffusion matrix, we provide two conditions for which the limit of approximated minimal speeds is positive.
    關聯: Archive for Rational Mechanics and Analysis 204(3), pp.945-975
    DOI: 10.1007/s00205-012-0494-7
    顯示於類別:[數學學系暨研究所] 期刊論文


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