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    题名: The sign of the wave speed for the Lotka-Volterra competition-diffusion system
    作者: Guo, Jong-Shenq;Lin, Ying-Chih
    贡献者: 淡江大學數學學系
    关键词: Wave speed;bistable;competition-diffusion system;traveling front
    日期: 2013-09
    上传时间: 2014-04-21 21:39:53 (UTC+8)
    出版者: Springfield: American Institute of Mathematical Sciences
    摘要: In this paper, we study the traveling front solutions of the Lotka-Volterra competition-diffusion system with bistable nonlinearity. It is well-known that the wave speed of traveling front is unique. Although little is known for the sign of the wave speed. In this paper, we first study the standing wave which gives some criteria when the speed is zero. Then, by the monotone dependence on parameters, we obtain some criteria about the sign of the wave speed under some parameter restrictions.
    關聯: Communications on Pure and Applied Analysis 12(5), pp.2083-2090
    DOI: 10.3934/cpaa.2013.12.2083
    显示于类别:[數學學系暨研究所] 期刊論文


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