期刊论文详细信息
| Advances in Difference Equations | |
| Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response | |
| Shengbin Yu1 | |
| [1] Sunshine College, Fuzhou University, Fuzhou, P.R. China | |
| 关键词: Leslie-Gower; permanence; global asymptotic stability; Lyapunov function; Dulac function; fluctuation lemma; | |
| DOI : 10.1186/1687-1847-2014-84 | |
| 学科分类：数学（综合） | |
| 来源: SpringerOpen | |
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【 摘 要 】
A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and Lyapunov direct method, respectively, three sufficient conditions on the global asymptotic stability of a positive equilibrium are obtained. MSC:34D23, 92D25, 34D20, 34D40.
【 授权许可】
CC BY
【 预 览 】
| Files | Size | Format | View |
|---|---|---|---|
| RO201904020793788ZK.pdf | 352KB |  download |
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