Existence of traveling wave solutions for diffusive predator–prey type systems
學年 100
學期 2
出版（發表）日期 2012-02-01
作品名稱 Existence of traveling wave solutions for diffusive predator–prey type systems
作品名稱（其他語言）
著者 Hsu, Cheng-Hsiung; Yang, Chi-Ru; Yang, Ting-Hui; Yang, Tzi-Sheng
單位 淡江大學數學學系
出版者 Maryland Heights: Academic Press
著錄名稱、卷期、頁數 Journal of Differential Equations 252(4), pp.3040–3075
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.
關鍵字 Traveling wave; Predator–prey; Wazewski Theorem; LaSalleʼs Invariance Principle; Lyapunov function; Hopf bifurcation theory
語言 en
ISSN 0022-0396
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Yang, Tzi-Sheng
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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