Stability results on age-structured SIS epidemic model with coupling impulsive effect

Helong Liu; Houbao Xu; Jingyuan Yu; Guangtian Zhu

doi:10.1155/DDNS/2006/83489

Stability results on age-structured SIS epidemic model with coupling impulsive effect

Helong Liu, Houbao Xu, Jingyuan Yu, Guangtian Zhu

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We develop an age-structured epidemic model for malaria with impulsive effect, and consider the effect of blood transfusion and infected-vector transmission. Transmission rates depend on age. We derive the condition in which eradication solution is locally asymptotically stable. The condition shows that large enough pulse reducing proportion and relatively small interpulse time lead to the eradication of the diseases.

源语言	英语
文章编号	83489
期刊	Discrete Dynamics in Nature and Society
卷	2006
DOI	https://doi.org/10.1155/DDNS/2006/83489
出版状态	已出版 - 2006

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10.1155/DDNS/2006/83489

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abstract = "We develop an age-structured epidemic model for malaria with impulsive effect, and consider the effect of blood transfusion and infected-vector transmission. Transmission rates depend on age. We derive the condition in which eradication solution is locally asymptotically stable. The condition shows that large enough pulse reducing proportion and relatively small interpulse time lead to the eradication of the diseases.",

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AU - Liu, Helong

AU - Xu, Houbao

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AU - Zhu, Guangtian

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AB - We develop an age-structured epidemic model for malaria with impulsive effect, and consider the effect of blood transfusion and infected-vector transmission. Transmission rates depend on age. We derive the condition in which eradication solution is locally asymptotically stable. The condition shows that large enough pulse reducing proportion and relatively small interpulse time lead to the eradication of the diseases.

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VL - 2006

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

M1 - 83489

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Stability results on age-structured SIS epidemic model with coupling impulsive effect

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