Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy
文献类型：期刊论文
| 作者 | Liu, B; Teng, ZD; Chen, LS |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2006-08-15 |
| 卷号 | 193期号:1页码:347-362 |
| 关键词 | Holling II predator-prey model impulsive control strategy extinction permanence bifurcation |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2005.06.023 |
| 英文摘要 | According to biological and chemical control strategy for pest control, we investigate the dynamic behavior of a Holling II functional response predator-prey system concerning impulsive control strategy-periodic releasing natural enemies and spraying pesticide at different fixed times. By using Floquet theorem and small amplitude perturbation method, we prove that there exists a stable pest-eradication periodic solution when the impulsive period is less than some critical value. Further, the condition for the permanence of the system is also given. Numerical results show that the system we consider can take on various kinds of periodic fluctuations and several types of attractor coexistence and is dominated by periodic, quasiperiodic and chaotic solutions, which implies that the presence of pulses makes the dynamic behavior more complex. Finally, we conclude that our impulsive control strategy is more effective than the classical one if we take chemical control efficiently. (c) 2005 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000237824200021 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3365]  |
| 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, Coll Math & Syst Sci, Xinjiang 830046, 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,Teng, ZD,Chen, LS. Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,193(1):347-362. |
| APA | Liu, B,Teng, ZD,&Chen, LS.(2006).Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,193(1),347-362. |
| MLA | Liu, B,et al."Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 193.1(2006):347-362. |
入库方式： OAI收割
来源：数学与系统科学研究院
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