Advances in Difference Equations
Volume 2010 (2010), Article ID 212858, 23 pages
doi:10.1155/2010/212858
Research Article

Existence of a Nonautonomous SIR Epidemic Model with Age Structure

Junyuan Yang1,2 and Xiaoyan Wang2

1Department of Applied Mathematics, Yuncheng University, Yuncheng Shanxi 044000, China
2Beijing Institute of Information and Control, Beijing 100037, China

Received 15 December 2009; Accepted 1 February 2010

Academic Editor: Toka Diagana

Copyright © 2010 Junyuan Yang and Xiaoyan Wang. 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.

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.