Tunghai University Institutional Repository:Item 310901/23178
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    題名: Existence of traveling wave solutions for diffusive predator-prey type systems
    作者: Hsu, C.-H.a , Yang, C.-R.b , Yang, T.-H.c , Yang, T.-S.d
    貢獻者: Department of Mathematics, Tunghai University
    關鍵詞: Hopf bifurcation theory;LaSalle's invariance Principle;Lyapunov function;Predator-prey;Traveling wave;Wazewski theorem
    日期: 2012
    上傳時間: 2013-06-11T09:02:48Z (UTC)
    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, LaSalle's Invariance Principle and Hopf bifurcation theory, we obtain the existence results. Our results can apply to various kinds of ecological models. ? 2011 Elsevier Inc.
    關聯: Journal of Differential Equations
    Volume 252, Issue 4, 15 February 2012, Pages 3040-3075
    顯示於類別:[應用數學系所] 期刊論文

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