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Dynamical analysis on a single population model with state-dependent impulsively unilateral diffusion between two patches
Jiao,Jianjun1; Chen,Lansun2; Cai,Shaohong1
2012-09-10
Source PublicationAdvances in Difference Equations
ISSN1687-1847
Volume2012Issue:1
AbstractAbstractCoupling 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.
Keywordsingle population state-dependent impulses unilateral diffusion patchy environment
DOI10.1186/1687-1847-2012-155
Language英语
WOS IDBMC:10.1186/1687-1847-2012-155
PublisherSpringer International Publishing
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/321
Collection中国科学院数学与系统科学研究院
Corresponding AuthorJiao,Jianjun
Affiliation1.Guizhou College of Finance and Economics; School of Mathematics and Statistics
2.Academy of Mathematics and System Sciences; Institute of Mathematics
Recommended Citation
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).
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