文章基本信息

标题：Simulation of Pattern in a Delay and Cross-Diffusive Predation Model with the Allee Effect
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作者：Huang, Lei
期刊名称：Journal of Multimedia
印刷版ISSN：1796-2048
出版年度：2014
卷号：9
期号：3
页码：423-427
DOI：10.4304/jmm.9.3.423-427
语种：English
出版社：Academy Publisher
摘要：In this paper, we consider the effect of time delay and cross diffusion on the dynamics of a predator-prey model with the Allee effect. We mainly investigate the stability of the homogeneous state points and give the conditions of time delay and cross diffusion driven instability in details. Furthermore, we illustrate the spatial patterns via numerical simulations, which show that the model dynamics exhibits a delay and diffusion controlled formation growth not only stripes and holes, but also spots pattern. The results indicate that time delay and cross diffusion play important roles in pattern selection
关键词：Spationtemporal Dynamics;Delay;Pattern;Allee effect