A stage-structured SI eco-epidemiological model with time delay and impulsive controlling
文献类型:期刊论文
作者 | Meng, Xinzhu1; Chen, Lansun2 |
刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
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出版日期 | 2008-09-01 |
卷号 | 21期号:3页码:427-440 |
关键词 | impulsive effects maturation time delay permanence pest management stage-structured SI infectious disease model |
ISSN号 | 1009-6124 |
英文摘要 | 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. |
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 |
语种 | 英语 |
WOS记录号 | WOS:000259101600009 |
出版者 | SPRINGER |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6091] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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