KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | Advances in Difference Equations
 |
| ISSN | 1687-1847 |
| Volume | 2012Issue:1 |
| Abstract | 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. |
| Keyword | single population state-dependent impulses unilateral diffusion patchy environment |
| DOI | 10.1186/1687-1847-2012-155 |
| Language | 英语 |
| WOS ID | BMC:10.1186/1687-1847-2012-155 |
| Publisher | Springer International Publishing |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/321 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Jiao,Jianjun |
| Affiliation | 1.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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