Advances in Difference Equations
Volume 2010 (2010), Article ID 212858, 23 pages
doi:10.1155/2010/212858
Existence of a nonautonomous SIR epidemic model with age structure
Junyuan Yang1
and Xiaoyan Wang2
1Department of Applied Mathematics, Yuncheng University, Yuncheng Shanxi 044000, China
2Beijing Institute of Information and Control, Beijing 100037, China
Abstract
A nonautonomous SIR epidemic model with age structure is studied. Using integro-differential equation and a fixed point theorem, we prove the existence and uniqueness of a positive solution to this model. We conclude our results and discuss some problems to this model in the future. We simulate our analyzed results.