中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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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