文章基本信息

标题：Pattern formation in prey-taxis systems
本地全文：下载
作者：J. M. Lee ; T. Hillen ; M. A. Lewis 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2009
卷号：3
期号：6
页码：551-573
DOI：10.1080/17513750802716112
出版社：Taylor & Francis
摘要：In this paper, we consider spatial predator–prey models with diffusion and prey-taxis. We investigate necessary conditions for pattern formation using a variety of non-linear functional responses, linear and non-linear predator death terms, linear and non-linear prey-taxis sensitivities, and logistic growth or growth with an Allee effect for the prey. We identify combinations of the above non-linearities that lead to spatial pattern formation and we give numerical examples. It turns out that prey-taxis stabilizes the system and for large prey-taxis sensitivity we do not observe pattern formation. We also study and find necessary conditions for global stability for a type I functional response, logistic growth for the prey, non-linear predator death terms, and non-linear prey-taxis sensitivity.
关键词：predator–prey models ; prey-taxis ; stability ; pattern formation ; biological control