The dynamics of a prey-dependent consumption model concerning impulsive control strategy
文献类型：期刊论文
| 作者 | Liu, B; Chen, LS; Zhang, YJ |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2005-10-01 |
| 卷号 | 169期号:1页码:305-320 |
| 关键词 | biological and chemical control prey-dependent consumption model impulsive effect permanence chaos |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2004.09.053 |
| 英文摘要 | A mathematical model for dynamics of a prey-dependent consumption model concerning impulsive control strategy is proposed and analyzed. We show that there exists a globally stable pest-eradication periodic solution when the impulsive period is less than some critical values. Further, the Conditions for the permanence of system are given. We show the existence of nontrivial periodic Solution if the pest-eradication periodic solution loses its stability. When the Unique positive periodic solution lose its Stability, numerical simulation Shows there is a characteristic sequence of bifurcations, leading to a chaotic dynamics, which implies that the impulsive control model we considered has more complex dynamics including period-doubling bifurcation, symmetry-breaking bifurcation, period-halving bifurcation, quasi-periodic oscillation and chaos. (c) 2004 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000232698000022 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1065]  |
| 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, Liaoning, Peoples R China 2.Xinjiang Univ, Dept Math, Urumqi 830046, Xinjiang, Peoples R China 3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, B,Chen, LS,Zhang, YJ. The dynamics of a prey-dependent consumption model concerning impulsive control strategy[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,169(1):305-320. |
| APA | Liu, B,Chen, LS,&Zhang, YJ.(2005).The dynamics of a prey-dependent consumption model concerning impulsive control strategy.APPLIED MATHEMATICS AND COMPUTATION,169(1),305-320. |
| MLA | Liu, B,et al."The dynamics of a prey-dependent consumption model concerning impulsive control strategy".APPLIED MATHEMATICS AND COMPUTATION 169.1(2005):305-320. |
入库方式： OAI收割
来源：数学与系统科学研究院
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