The global dynamic behavior of the competition model of three species
文献类型：期刊论文
| 作者 | Zhang, XA; Chen, LS |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2000-05-01 |
| 卷号 | 245期号:1页码:124-141 |
| 关键词 | extinction dominant local coordinate chart diffeomorphism |
| ISSN号 | 0022-247X |
| 英文摘要 | In this paper, we decompose the dynamic behavior of the competitive Lotka-Volterra (LV) model (x) over dot(i) = x(i)(1 - x(i) - alpha(i)x(i+1) - beta(i)x(i+2)), x(i)(0) > 0, alpha(i) > 0, beta(i) > 0, i = 1, 2, 3, with x(4) = x(1), x(5) - x(2), into the dynamic behavior of two two-dimensional manifolds, and completely analyse the global asymptotic behavior of the competitive LV model. We obtain the necessary and sufficient conditions for the equilibrium of the competitive LV model to be positive and globally asymptotically stable in Int R-+(3), the necessary and sufficient conditions for the model having a family of limit cycle solutions and a heteroclinic cycle, both of which are the omega-limit set of some other trajectories of the competitive LV model. (C) 2000 Academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000086866000009 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15787]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, XA |
| 作者单位 | Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, XA,Chen, LS. The global dynamic behavior of the competition model of three species[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2000,245(1):124-141. |
| APA | Zhang, XA,&Chen, LS.(2000).The global dynamic behavior of the competition model of three species.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,245(1),124-141. |
| MLA | Zhang, XA,et al."The global dynamic behavior of the competition model of three species".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 245.1(2000):124-141. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。