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

doi:10.1016/j.amc.2008.03.012

	Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
	Georgescu, Paul 1,2; Zhang, Hong 3; Chen, Lansun 4
刊名	APPLIED MATHEMATICS AND COMPUTATION
	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
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000258103800025
内容类型	期刊论文
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.