A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIMEDELAY AND IMPULSIVE CONTROLLING

Xinzhu MENG;Lansun CHEN

系统科学与复杂性(英文) ›› 2008, Vol. 21 ›› Issue (3) : 427-440.

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系统科学与复杂性(英文) ›› 2008, Vol. 21 ›› Issue (3) : 427-440.
论文

A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIMEDELAY AND IMPULSIVE CONTROLLING

    Xinzhu MENG(1),Lansun CHEN(2)
作者信息 +

A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIMEDELAY AND IMPULSIVE CONTROLLING

    Xinzhu MENG(1),Lansun CHEN(2)
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文章历史 +

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.

Abstract

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.

Key words

Impulsive effects / maturation time delay / permanence / pest management / stage-structured SI infectious disease model.

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Xinzhu MENG , Lansun CHEN. A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIMEDELAY AND IMPULSIVE CONTROLLING. 系统科学与复杂性(英文), 2008, 21(3): 427-440
Xinzhu MENG , Lansun CHEN. A STAGE-STRUCTURED SI ECO-EPIDEMIOLOGICAL MODEL WITH TIMEDELAY AND IMPULSIVE CONTROLLING. Journal of Systems Science and Complexity, 2008, 21(3): 427-440
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