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
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.