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Article: Stability results on age-structured sis epidemic model with coupling impulsive effect.
- Article from:
- Discrete Dynamics in Nature and Society
- Article date:
- January 1, 2006
- Author:
CopyrightCOPYRIGHT 2006 Hindawi Publishing Corp. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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We develop an age-structured epidemicmodel formalaria 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.
1. Introduction
Malaria is a common and serious disease. It is reported that the incidence of malaria in the world may be in the order of 300 millon clinical cases each year. Malaria mortality is estimated at almost 2 million deaths ...