The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management
文献类型：期刊论文
| 作者 | Liu, B; Zhang, YJ; Chen, LS |
| 刊名 | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
 |
| 出版日期 | 2005-04-01 |
| 卷号 | 6期号:2页码:227-243 |
| 关键词 | IPM strategy Lotka-Volterra predator-prey model impulsive effect permanence extinction bifurcation |
| ISSN号 | 1468-1218 |
| DOI | 10.1016/j.nonrwa.2004.08.001 |
| 英文摘要 | According to the fact integrated pest management, a Lotka-Volterra predator-prey model with impulsive effect at fixed moment is proposed and investigated. We analyze such system from two cases: general case (taking IPM strategy) and special case (only choosing pesticides). In the first case, we show that there exists a globally asymptotically stable pest-eradication periodic solution when the period of impulsive effect is less than some critical value. The condition for the permanence is also given. By using bifurcation theory, we show the existence and stability of positive periodic solution when the pest-eradication lost its stability. In the second case, the system by only choosing chemical pesticides, we give the conditions of existence and stability of predator-free periodic solution. We obtain that the conditions for the permanence or extinction in the system we considered are quite different from the corresponding system without impulse. Finally, we compare validity of the IPM strategy with the classical methods (only biological control or chemical control), and conclude that IPM strategy is more effective than the classical one. (C) 2004 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000226433100001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1962]  |
| 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, Liaoning 114005, 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,Zhang, YJ,Chen, LS. The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2005,6(2):227-243. |
| APA | Liu, B,Zhang, YJ,&Chen, LS.(2005).The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,6(2),227-243. |
| MLA | Liu, B,et al."The dynamical behaviors of a Lotka-Volterra predator-prey model concerning integrated pest management".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 6.2(2005):227-243. |
入库方式： OAI收割
来源：数学与系统科学研究院
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