Existence of traveling wave solutions for diffusive predator-prey type systems

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109204

Title:	Existence of traveling wave solutions for diffusive predator-prey type systems
Authors:	許正雄;Hsu, Cheng-Hsiung;Yang, Chi-Ru;Yang, Ting-Hui;Yang, Tzi-Sheng
Contributors:	理學院數學系
Keywords:	Hopf bifurcation theory;LaSalleʼs Invariance Principle;Lyapunov function;Predator–prey;Traveling wave;Wazewski Theorem
Date:	2012-02-15
Issue Date:	2026-04-23 16:15:09 (UTC+8)
Publisher:	Academic Press Inc.;Elsevier Inc
Abstract:	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. 出版者： Elsevier Inc 出版日期： 2012-02-15 出處： Journal of Differential Equations, 2012-02, Vol.252 (4), p.3040-3075 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2011 Elsevier Inc. 識別號： ISSN: 0022-0396 識別號： EISSN: 1090-2732 識別號： DOI: 10.1016/j.jde.2011.11.008
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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