Discrete Dynamics in Nature and Society
Volume 2006 (2006), Issue 1, Article ID 83489, 11 pages
doi:10.1155/DDNS/2006/83489
Stability results on age-structured SIS epidemic model with coupling impulsive effect
Helong Liu1
, Houbao Xu2
, Jingyuan Yu3
and Guangtian Zhu4
1Department of Mathematics, Xinyang Teachers College, Xinyang, Henan 464000, China
2Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
3Beijing Institute of Information and Control, Beijing 100037, China
4Academy of Mathematics and System Science, C.A.S. Beijing 100080, China
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.