On the impulsive controllability and bifurcation of a predator-pest model of IPM
文献类型：期刊论文
| 作者 | Zhang, Hong1; Georgescu, Paul2; Chen, Lansun3 |
| 刊名 | BIOSYSTEMS
 |
| 出版日期 | 2008-09-01 |
| 卷号 | 93期号:3页码:151-171 |
| 关键词 | Beddington-DeAngelis functional response impulsive controls stability analysis pest-eradication periodic solution permanence fixed point approach supercritical bifurcation economic threshold |
| ISSN号 | 0303-2647 |
| DOI | 10.1016/j.biosystems.2008.03.008 |
| 英文摘要 | From a practical point of view, the most efficient strategy for pest control is to combine an array of techniques to control the wide variety of potential pests that may threaten crops in an approach known as integrated pest management (IPM). In this paper, we propose a predator-prey (pest) model of IPM in which pests are impulsively controlled by means of spraying pesticides (the chemical control) and releasing natural predators (the biological control). It is assumed that the biological and chemical control are used with the same periodicity, but not simultaneously. The functional response of the predator is allowed to be predator-dependent, in the form of a Beddington-DeAngelis functional response, rather than to have a perhaps more classical prey-only dependence. The local and global stability of the pest-eradication periodic solution, as well as the permanence of the system, are obtained under integral conditions which are shown to have biological significance. In a certain limiting case, it is shown that a nontrivial periodic solution emerges via a supercritical bifurcation. Finally, our findings are confirmed by means of numerical simulations. (c) 2008 Elsevier Ireland Ltd. All rights reserved. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000258796800001 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6403]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Hong |
| 作者单位 | 1.Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China 2.Gh Asachi Tech Univ Iasi, Dept Math, Iasi 700506, Romania 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Hong,Georgescu, Paul,Chen, Lansun. On the impulsive controllability and bifurcation of a predator-pest model of IPM[J]. BIOSYSTEMS,2008,93(3):151-171. |
| APA | Zhang, Hong,Georgescu, Paul,&Chen, Lansun.(2008).On the impulsive controllability and bifurcation of a predator-pest model of IPM.BIOSYSTEMS,93(3),151-171. |
| MLA | Zhang, Hong,et al."On the impulsive controllability and bifurcation of a predator-pest model of IPM".BIOSYSTEMS 93.3(2008):151-171. |
入库方式： OAI收割
来源：数学与系统科学研究院
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