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

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Article number	83489
Journal	Discrete Dynamics in Nature and Society
Volume	2006
DOIs	https://doi.org/10.1155/DDNS/2006/83489
Publication status	Published - 2006

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title = "Stability results on age-structured SIS epidemic model with coupling impulsive effect",

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

AU - Yu, Jingyuan

AU - Zhu, Guangtian

PY - 2006

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N2 - 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.

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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U2 - 10.1155/DDNS/2006/83489

DO - 10.1155/DDNS/2006/83489

M3 - Article

AN - SCOPUS:33645982604

SN - 1026-0226

VL - 2006

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

M1 - 83489

ER -

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

Abstract

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