Existence and non-monotonicity of traveling wave solutions for general diffusive predator-prey models

Cheng Hsiung Hsu, Jian Jhong Lin

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

This paper is concerned with the existence and non-monotonicity of traveling wave solutions for general diffusive predator-prey models. By using Schauder’s fixed point theorem and the existence of contracting rectangles, we obtain the existence result. Then we investigate the asymptotic behavior of positive monotone traveling wave solutions by using the modified Ikehara’s Theorem. With the help of their asymptotic behavior, we provide a sufficient condition which guarantee that all positive traveling wave solutions of the system are non-monotone. Furthermore, to illustrate our main results, the existence and non-monotonicity of traveling wave solutions of Lotka-Volterra predator-prey model and modified Leslie-Gower predator-prey models with different kinds of functional responses are also discussed.

原文???core.languages.en_GB???
頁(從 - 到)1483-1508
頁數26
期刊Communications on Pure and Applied Analysis
18
發行號3
DOIs
出版狀態已出版 - 5月 2019

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