文章基本信息

标题：Stability and traveling waves in a Beddington-DeAngelis type stage-structured predator-prey reaction-diffusion systems with nonlocal delays and harvesting
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作者：Jing Xia ; Zhi Xian Yu ; Su Wen Zheng 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：65
DOI：10.1186/s13662-017-1093-6
语种：English
出版社：Hindawi Publishing Corporation
摘要：The goal of this paper is to study the stability and traveling waves of stage-structured predator-prey reaction-diffusion systems of Beddington-DeAngelis functional response with both nonlocal delays and harvesting. By analyzing the corresponding characteristic equations, the local stability of various equilibria is discussed. We reduce the existence of traveling waves to the existence of a pair of upper-lower solutions by using the cross iteration method and the Schauder’s fixed point theorem. The existence of traveling waves connecting the zero equilibrium and the positive equilibrium is then established by constructing a pair of upper-lower solutions.
关键词：stability ; traveling wave ; predator-prey system ; Beddington-DeAngelis functional response ; nonlocal delay ; stage structure ; Schauder’s fixed point theorem