Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy
文献类型：期刊论文
| 作者 | Liu, B; Zhang, YJ |
| 刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| 出版日期 | 2005-02-01 |
| 卷号 | 15期号:2页码:517-531 |
| 关键词 | predator-prey model impulsive perturbation extinction and permanence bifurcation |
| ISSN号 | 0218-1274 |
| 英文摘要 | Based on the classical Lotka-Volterra predator-prey system, an impulsive differential equation to model the process of periodically releasing natural enemies and spraying pesticides at different fixed times for pest control is proposed and investigated. It is proved that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value. Otherwise, the system can be permanent. We observe that our impulsive control strategy is more effective than the classical one if we take chemical control efficiently. Numerical results show that the system we considered has more complex dynamics including period-doubling bifurcation, symmetry-breaking bifurcation, period-halving bifurcation, quasiperiodic oscillation, chaos and nonunique dynamics, meaning that several attractors coexist. Finally, a pest-predator stage-structured model for the pest concerning this kind of impulsive control strategy is proposed, and we also show that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some threshold. |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000228906700007 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2009]  |
| 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.Xinjiang Univ, Dept Math, Urumqi 830046, Xinjiang, Peoples R China 2.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, 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,Zhang, YJ. Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2005,15(2):517-531. |
| APA | Liu, B,&Zhang, YJ.(2005).Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,15(2),517-531. |
| MLA | Liu, B,et al."Dynamic complexities in a Lotka-Volterra predator-prey model concerning impulsive control strategy".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 15.2(2005):517-531. |
入库方式： OAI收割
来源：数学与系统科学研究院
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