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    題名: On a free boundary problem for a two-species weak competition system
    作者: Guo, Jong-Shenq;Wu, Chang-Hong
    貢獻者: 淡江大學數學學系
    關鍵詞: Lotka–Volterra model;Free boundary;Spreading–vanishing dichotomy;Spreading speed
    日期: 2012-12
    上傳時間: 2013-05-22 14:19:33 (UTC+8)
    出版者: New York: Springer New York LLC
    摘要: We study a Lotka–Volterra type weak competition model with a free boundary in a one-dimensional habitat. The main objective is to understand the asymptotic behavior of two competing species spreading via a free boundary. We also provide some sufficient conditions for spreading success and spreading failure, respectively. Finally, when spreading successfully, we provide an estimate to show that the spreading speed (if exists) cannot be faster than the minimal speed of traveling wavefront solutions for the competition model on the whole real line without a free boundary.
    關聯: Journal of Dynamics and Differential Equations 24(4), pp.873–895
    DOI: 10.1007/s10884-012-9267-0
    顯示於類別:[數學學系暨研究所] 期刊論文

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