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    請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/74812

    題名: Existence of traveling wave solutions for diffusive predator–prey type systems
    作者: Hsu, Cheng-Hsiung;Yang, Chi-Ru;Yang, Ting-Hui;Yang, Tzi-Sheng
    貢獻者: 淡江大學數學學系
    關鍵詞: Traveling wave;Predator–prey;Wazewski Theorem;LaSalleʼs Invariance Principle;Lyapunov function;Hopf bifurcation theory
    日期: 2012-02
    上傳時間: 2012-01-20 02:48:27 (UTC+8)
    出版者: Maryland Heights: Academic Press
    摘要: In this work we investigate the existence of traveling wave solutions for a class of diffusive predator–prey type systems whose each nonlinear term can be separated as a product of suitable smooth functions satisfying some monotonic conditions. The profile equations for the above system can be reduced as a four-dimensional ODE system, and the traveling wave solutions which connect two different equilibria or the small amplitude traveling wave train solutions are equivalent to the heteroclinic orbits or small amplitude periodic solutions of the reduced system. Applying the methods of Wazewski Theorem, LaSalleʼs Invariance Principle and Hopf bifurcation theory, we obtain the existence results. Our results can apply to various kinds of ecological models.
    關聯: Journal of Differential Equations 252(4), pp.3040–3075
    DOI: 10.1016/j.jde.2011.11.008
    顯示於類別:[數學學系暨研究所] 期刊論文


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