Modelling and analysis of integrated pest management strategy

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	Modelling and analysis of integrated pest management strategy
	Tang, SY; Chen, LS
	2004-08-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	4 期号:3 页码:759-768
摘要	Two impulsive models concerning integrated pest management(IPM) are proposed according to impulsive effect with fixed moments and unfixed moments, respectively. The first model has the potential to protect the natural enemies from extinction, but under some conditions may also serve to extinction of the pest. The second model is constructed according to the practices of IPM, that is, when the pest population reaching the economic injury level, a combination of biological, cultural, and chemical tactics that reduce pests to tolerable levels is used. By using analytical method, we show that there exists an orbitally asymptotically stable periodic solution with a maximum value no larger than the given economic threshold. Further, the complete expression of period of the periodic solution is given. Thus, IPM strategy proved firstly by mathematical models is more effective than the classical method.
关键词	IPM strategy state-dependent impulsive differential equations economic threshold periodic solution
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000221965100029
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/597
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	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tang, SY,Chen, LS. Modelling and analysis of integrated pest management strategy[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2004,4(3):759-768.
APA	Tang, SY,&Chen, LS.(2004).Modelling and analysis of integrated pest management strategy.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,4(3),759-768.
MLA	Tang, SY,et al."Modelling and analysis of integrated pest management strategy".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 4.3(2004):759-768.