文章基本信息

标题：Dynamical analysis on a single population model with state-dependent impulsively unilateral diffusion between two patches
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作者：Jianjun Jiao ; Lansun Chen ; Shaohong Cai 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：2012
卷号：2012
期号：1
页码：155
DOI：10.1186/1687-1847-2012-155
语种：English
出版社：Hindawi Publishing Corporation
摘要：Coupling with social progress, traffic development and so on, the natural environment is going into patches. There are differences between population in differential patches. The population living in a patchy environment is affected by the space structures. It is important to depict the dynamical behaviors of the population in the present world. In this work, a state-dependent impulsive differential model, which focuses on impulsively unilateral diffusion between two patches, aims for the simulation of the factual population dynamical behaviors. With the approaches of mathematical analysis, we obtain sufficient conditions of the existence and orbitally asymptotic stability of a periodic solution of the investigated system. Finally, the numerical simulations verify our results.
关键词：single population ; state-dependent impulses ; unilateral diffusion ; patchy environment