Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model

doi:10.1016/j.amc.2008.03.012

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	Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
	Georgescu, Paul 1,2; Zhang, Hong 3; Chen, Lansun 4
	2008-08-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	202 期号:2 页码:675-687
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.
关键词	nontrivial periodic solutions bifurcation impulsive controls nonlinear force of infection fixed point argument
DOI	10.1016/j.amc.2008.03.012
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000258103800025
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6383
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.