On the impulsive controllability and bifurcation of a predator-pest model of IPM

doi:10.1016/j.biosystems.2008.03.008

CSpace

	On the impulsive controllability and bifurcation of a predator-pest model of IPM
	Zhang, Hong 1; Georgescu, Paul 2; Chen, Lansun 3
	2008-09-01
发表期刊	BIOSYSTEMS
ISSN	0303-2647
卷号	93 期号:3 页码:151-171
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.
关键词	Beddington-DeAngelis functional response impulsive controls stability analysis pest-eradication periodic solution permanence fixed point approach supercritical bifurcation economic threshold
DOI	10.1016/j.biosystems.2008.03.008
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:000258796800001
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6404
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.