The periodic competing Lotka-Volterra model with impulsive effect
文献类型：期刊论文
| 作者 | Liu, B; Chen, L |
| 刊名 | MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA
 |
| 出版日期 | 2004-06-01 |
| 卷号 | 21期号:2页码:129-145 |
| 关键词 | competing system impulsive effect extinction coexistence bifurcation |
| ISSN号 | 1477-8599 |
| 英文摘要 | In this paper, the dynamic behaviour of a classical periodic Lotka-Volterra competing system with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive equations, some conditions are obtained for the linear stability of the trivial and semi-trivial periodic solutions. It is proved that the system can be permanent if all the trivial and semi-trivial periodic solutions are linearly unstable. We use standard bifurcation theory to show the existence of nontrivial periodic solutions which arise near the semi-trivial periodic solution. As an application, a fish harvest problem is considered. We explain how two competing species, one of which in a periodic environment without impulsive effect would be doomed to extinction, can coexist with suitably periodic impulsive harvesting. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000222293700004 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19229]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, B |
| 作者单位 | 1.Anshan Normal Univ, Dept Math, Liaoning 114005, Peoples R China 2.Xinjiang Univ, Dept Math, Xinjiang 830046, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, B,Chen, L. The periodic competing Lotka-Volterra model with impulsive effect[J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA,2004,21(2):129-145. |
| APA | Liu, B,&Chen, L.(2004).The periodic competing Lotka-Volterra model with impulsive effect.MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA,21(2),129-145. |
| MLA | Liu, B,et al."The periodic competing Lotka-Volterra model with impulsive effect".MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA 21.2(2004):129-145. |
入库方式： OAI收割
来源：数学与系统科学研究院
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