Global qualitative analysis for a ratio-dependent predator-prey model with delay
文献类型：期刊论文
| 作者 | Tang, SY; Chen, LS |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2002-02-15 |
| 卷号 | 266期号:2页码:401-419 |
| 关键词 | global stability predator-prey system competitive systems delay |
| ISSN号 | 0022-247X |
| 英文摘要 | A ratio-dependent predator-prey model with time lag for predator is proposed and analyzed. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence, and stability are analyzed. We note that for a ratio-dependent system local asymptotic stability of the positive steady state does not even guarantee the so-called persistence of the system and, therefore, does not imply global asymptotic stability, It is found that an orbitally asymptotically stable periodic orbit exists in that model. Some sufficient conditions which guarantee the global stability of positive equilibrium are given. (C) 2002 Elsevier Science (USA). |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000173914000010 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17067]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tang, SY |
| 作者单位 | Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, SY,Chen, LS. Global qualitative analysis for a ratio-dependent predator-prey model with delay[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2002,266(2):401-419. |
| APA | Tang, SY,&Chen, LS.(2002).Global qualitative analysis for a ratio-dependent predator-prey model with delay.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,266(2),401-419. |
| MLA | Tang, SY,et al."Global qualitative analysis for a ratio-dependent predator-prey model with delay".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 266.2(2002):401-419. |
入库方式： OAI收割
来源：数学与系统科学研究院
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