Permanence and extinction in logistic and Lotka-Volterra systems with diffusion
文献类型：期刊论文
| 作者 | Cui, JG; Chen, LS |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2001-06-15 |
| 卷号 | 258期号:2页码:512-535 |
| 关键词 | logistic equation Lotka-Volterra system diffusion permanence extinction periodic solution stability |
| ISSN号 | 0022-247X |
| 英文摘要 | In this paper we consider the effect of diffusion on the permanence and extinction of single and multiple endangered species that live in changing patch environments. Differing from former studies, our discussion includes the important situation in conservation biology in which species live in a weak patchy environment, in the sense that species will become extinct in some of the isolated patches. For the single population model, we show that identical species can persist for some diffusion rates and can also vanish for another set of restrictions on the diffusion rates, although the single endangered species will vanish in some isolated patches without contributions from other patches. Furthermore, we consider the existence, uniqueness, and global stability of the positive periodic solution. For prey-predator systems we can make both the prey and the predator species permanent by choosing the diffusion rates appropriately, even if the prey species has a negative intrinsic growth rate in some patches. Moreover, we introduce an exotic competitive species y into the habitat occupied by the native species x. Competitive permanence and competitive exclusion bath are considered. The implications of these results are significant for the conservation of endangered species. (C) 2001 Academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000169264300010 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16595]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cui, JG |
| 作者单位 | 1.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, JG,Chen, LS. Permanence and extinction in logistic and Lotka-Volterra systems with diffusion[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,258(2):512-535. |
| APA | Cui, JG,&Chen, LS.(2001).Permanence and extinction in logistic and Lotka-Volterra systems with diffusion.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,258(2),512-535. |
| MLA | Cui, JG,et al."Permanence and extinction in logistic and Lotka-Volterra systems with diffusion".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 258.2(2001):512-535. |
入库方式： OAI收割
来源：数学与系统科学研究院
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