Journal of Applied Mathematics
Volume 2005 (2005), Issue 4, Pages 301-319
Stability on coupling SIR epidemic model with vaccination
1Department of Mathematics, Xinyang Normal University, Henan, Xinyang 464000, China
2Beijing Institute of Information and Control, Beijing 100037, China
3Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
4Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, China
Received 9 December 2004; Revised 21 September 2005
Copyright © 2005 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 a mathematical model for the disease which can be
transmitted via vector and through blood transfusion in host
population. The host population is structured by the chronological
age. We assume that the instantaneous death and infection rates
depend on the age. Applying semigroup theory and so forth, we
investigate the existence of equilibria. We also discuss local
stability of steady states.