The dynamics of a prey-dependent consumption model concerning integrated pest management
文献类型：期刊论文
| 作者 | Liu, B; Zhang, YJ; Chen, LS; Sun, LH |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2005-06-01 |
| 卷号 | 21期号:3页码:541-554 |
| 关键词 | IPM strategy prey-dependent consumption model impulsive effect permanence chaos |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-004-0476-2 |
| 英文摘要 | A mathematical model for the dynamics of a prey-dependent consumption model concerning integrated pest management is proposed and analyzed. We show that there exists a globally stable pesteradication periodic solution when the impulsive period is less than some critical values. Furthermore, the conditions for the permanence of the system are given. By using bifurcation theory, we show the existence of a nontrival periodic solution if the pest-eradication periodic solution loses its stability. When the unique positive periodic solution loses its stability, numerical simulation shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics, which implies that dynamical behaviors of prey-dependent consumption concerning integrated pest management are very complex, including period-doubling cascades, chaotic bands with periodic windows, crises, symmetry-breaking bifurcations and supertransients. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000229747700011 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2024]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, B |
| 作者单位 | 1.Anshan Normal Univ, Dept Math, Anshan 114005, Peoples R China 2.Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China 3.Dalian Univ Technol, Dalian 116024, Peoples R China 4.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, B,Zhang, YJ,Chen, LS,et al. The dynamics of a prey-dependent consumption model concerning integrated pest management[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(3):541-554. |
| APA | Liu, B,Zhang, YJ,Chen, LS,&Sun, LH.(2005).The dynamics of a prey-dependent consumption model concerning integrated pest management.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(3),541-554. |
| MLA | Liu, B,et al."The dynamics of a prey-dependent consumption model concerning integrated pest management".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.3(2005):541-554. |
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。