A ratio-dependent predator-prey model with stage structure and optimal harvesting policy
文献类型：期刊论文
| 作者 | Cai, Liming1,2; Li, Xuezhi1; Yu, Jingyuan2; Zhu, Guangtian3 |
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2008-05-01 |
| 卷号 | 31期号:7页码:859-877 |
| 关键词 | predator-prey system stage structure ratio dependence global stability optimal harvesting policy |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.956 |
| 英文摘要 | In this paper, a ratio-dependent preclator-prey model with stage structure and harvesting is investigated. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence and stability are performed. By constructing appropriate Lyapunov functions, a set of easily verifiable Sufficient conditions are obtained for the global asymptotic stability of nonnegative equilibria of the model. The existence possibilities of bioeconomic equilibria have been examined. An optimal harvesting policy is also given by using Pontryagin's maximal principle. Copyright (C) 2007 John Wiley & Sons, Ltd. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255080900007 |
| 出版者 | JOHN WILEY & SONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5919]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cai, Liming |
| 作者单位 | 1.Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China 2.Beijing Inst Informat Control, Beijing 100037, Peoples R China 3.CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cai, Liming,Li, Xuezhi,Yu, Jingyuan,et al. A ratio-dependent predator-prey model with stage structure and optimal harvesting policy[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2008,31(7):859-877. |
| APA | Cai, Liming,Li, Xuezhi,Yu, Jingyuan,&Zhu, Guangtian.(2008).A ratio-dependent predator-prey model with stage structure and optimal harvesting policy.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,31(7),859-877. |
| MLA | Cai, Liming,et al."A ratio-dependent predator-prey model with stage structure and optimal harvesting policy".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 31.7(2008):859-877. |
入库方式： OAI收割
来源：数学与系统科学研究院
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