Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 83489, 11 pages

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

Helong Liu,1 Houbao Xu,2 Jingyuan Yu,3 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

Received 29 June 2005; Accepted 10 October 2005

Copyright © 2006 Helong Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.