Dynamical analysis on a single population model with state-dependent impulsively unilateral diffusion between two patches

doi:10.1186/1687-1847-2012-155

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	Dynamical analysis on a single population model with state-dependent impulsively unilateral diffusion between two patches
	Jiao,Jianjun 1; Chen,Lansun 2; Cai,Shaohong 1
	2012-09-10
发表期刊	Advances in Difference Equations
ISSN	1687-1847
卷号	2012 期号:1
摘要	AbstractCoupling 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
DOI	10.1186/1687-1847-2012-155
语种	英语
WOS记录号	BMC:10.1186/1687-1847-2012-155
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/321
专题	中国科学院数学与系统科学研究院
通讯作者	Jiao,Jianjun
作者单位	1.Guizhou College of Finance and Economics; School of Mathematics and Statistics 2.Academy of Mathematics and System Sciences; Institute of Mathematics
推荐引用方式 GB/T 7714	Jiao,Jianjun,Chen,Lansun,Cai,Shaohong. Dynamical analysis on a single population model with state-dependent impulsively unilateral diffusion between two patches[J]. Advances in Difference Equations,2012,2012(1).
APA	Jiao,Jianjun,Chen,Lansun,&Cai,Shaohong.(2012).Dynamical analysis on a single population model with state-dependent impulsively unilateral diffusion between two patches.Advances in Difference Equations,2012(1).
MLA	Jiao,Jianjun,et al."Dynamical analysis on a single population model with state-dependent impulsively unilateral diffusion between two patches".Advances in Difference Equations 2012.1(2012).