A stage-structured SI eco-epidemiological model with time delay and impulsive controlling

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	A stage-structured SI eco-epidemiological model with time delay and impulsive controlling
	Meng, Xinzhu 1; Chen, Lansun 2
	2008-09-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	21 期号:3 页码:427-440
摘要	This paper formulates a robust stage-structured SI eco-epidemiological model with periodic constant pulse releasing of infectious pests with pathogens. The authors show that the conditions for global attractivity of the 'pest-eradication' periodic solution and permanence of the system depend on time delay, hence, the authors call it "profitless". Further, the authors present a pest management strategy in which the pest population is kept under the economic threshold level (ETL) when the pest population is uniformly persistent. By numerical analysis, the authors also show that constant maturation time delay for the susceptible pests and pulse releasing of the infectious pests can bring obvious effects on the dynamics of system.
关键词	impulsive effects maturation time delay permanence pest management stage-structured SI infectious disease model
语种	英语
资助项目	National Natural Science Foundation of China[10471117] ; National Natural Science Foundation of China[10771179] ; Natural Science and Development Foundation of Shandong University of Science and Technology[05g016]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000259101600009
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6092
专题	中国科学院数学与系统科学研究院
通讯作者	Meng, Xinzhu
作者单位	1.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xinzhu,Chen, Lansun. A stage-structured SI eco-epidemiological model with time delay and impulsive controlling[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2008,21(3):427-440.
APA	Meng, Xinzhu,&Chen, Lansun.(2008).A stage-structured SI eco-epidemiological model with time delay and impulsive controlling.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,21(3),427-440.
MLA	Meng, Xinzhu,et al."A stage-structured SI eco-epidemiological model with time delay and impulsive controlling".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 21.3(2008):427-440.