Integrated pest management models and their dynamical behaviour

doi:10.1016/j.bulm.2004.06.005

CSpace

	Integrated pest management models and their dynamical behaviour
	Tang, SY ; Xiao, YN ; Chen, LS ; Cheke, RA
	2005
发表期刊	BULLETIN OF MATHEMATICAL BIOLOGY
ISSN	0092-8240
卷号	67 期号:1 页码:115-135
摘要	Two impulsive models of integrated pest management (IPM) strategies are proposed, one with fixed intervention times and the other with these unfixed. The first model allows natural enemies to survive but under some conditions may lead to extinction of the pest. We use a simple prey-dependent consumption model with fixed impulsive effects and show that there exists a globally stable pest-eradication periodic solution when the impulsive period is less than certain critical values. The effects of pest resistance to pesticides are also studied. The second model is constructed in the light of IPM practice such that when the pest population reaches the economic injury level (EIL), a combination of biological, cultural, and chemical tactics that reduce pests to tolerable levels is invoked. Using analytical methods, we show that there exists an orbitally asymptotically stable periodic solution with a maximum value no larger than the given Economic Threshold (ET). The complete expression for this periodic solution is given and the ET is evaluated for given parameters. We also show that in some cases control costs can be reduced by replacing IPM interventions at unfixed times with periodic interventions. Further, we show that small perturbations of the system do not affect the existence and stability of the periodic solution. Thus, we provide the first demonstration using mathematical models that an IPM strategy is more effective than classical control methods. (C) 2004 Society for Mathematical Biology. Published by Elsevier Ltd. All rights reserved.
DOI	10.1016/j.bulm.2004.06.005
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:000227144100007
出版者	ACADEMIC PRESS LTD ELSEVIER SCIENCE 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/1549
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, SY
作者单位	1.Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England 2.Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Univ Greenwich, Nat Resources Inst, Chatham ME4 4TB, Kent, England
推荐引用方式 GB/T 7714	Tang, SY,Xiao, YN,Chen, LS,et al. Integrated pest management models and their dynamical behaviour[J]. BULLETIN OF MATHEMATICAL BIOLOGY,2005,67(1):115-135.
APA	Tang, SY,Xiao, YN,Chen, LS,&Cheke, RA.(2005).Integrated pest management models and their dynamical behaviour.BULLETIN OF MATHEMATICAL BIOLOGY,67(1),115-135.
MLA	Tang, SY,et al."Integrated pest management models and their dynamical behaviour".BULLETIN OF MATHEMATICAL BIOLOGY 67.1(2005):115-135.