Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
文献类型：期刊论文
| 作者 | Georgescu, Paul1,2; Zhang, Hong3; Chen, Lansun4 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2008-08-15 |
| 卷号 | 202期号:2页码:675-687 |
| 关键词 | nontrivial periodic solutions bifurcation impulsive controls nonlinear force of infection fixed point argument |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2008.03.012 |
| 英文摘要 | This paper investigates the onset of nontrivial periodic solutions for an integrated pest management model which is subject to pulsed biological and chemical controls. The biological control consists in the periodic release of infective individuals, while the chemical control consists in periodic pesticide spraying. It is assumed that both controls are used with the same periodicity, although not simultaneously. To model the spread of the disease which is propagated through the release of infective individuals, an unspecified force of infection is employed. The problem of finding nontrivial periodic solutions is reduced to showing the existence of nontrivial fixed points for the associated stroboscopic mapping of time snapshot equal to the common period of controls. The latter problem is in turn treated via a projection method. It is then shown that once a threshold condition is reached, a stable nontrivial periodic solution emerges via a supercritical bifurcation. (c) 2008 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258103800025 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6382]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Georgescu, Paul |
| 作者单位 | 1.Tech Univ Isai, Dept Math, Iasi 700506, Romania 2.Cent European Univ, Dept Math & Its Applicat, H-1051 Budapest, Hungary 3.Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China 4.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Georgescu, Paul,Zhang, Hong,Chen, Lansun. Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,202(2):675-687. |
| APA | Georgescu, Paul,Zhang, Hong,&Chen, Lansun.(2008).Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model.APPLIED MATHEMATICS AND COMPUTATION,202(2),675-687. |
| MLA | Georgescu, Paul,et al."Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model".APPLIED MATHEMATICS AND COMPUTATION 202.2(2008):675-687. |
入库方式： OAI收割
来源：数学与系统科学研究院
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