Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 604329, 12 pages
doi:10.1155/2010/604329
Research Article

The Analysis of Epidemic Network Model with Infectious Force in Latent and Infected Period

Juping Zhang1,2 and Zhen Jin1

1Department of Mathematics, North University of China, Taiyuan 030051, China
2School of Mechatronic Engineering, North University of China, Taiyuan 030051, China

Received 4 July 2010; Revised 8 November 2010; Accepted 14 December 2010

Academic Editor: Francisco Solis

Copyright © 2010 Juping Zhang and Zhen Jin. 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

We discuss the epidemic network model with infectious force in latent and infected period. We obtain the basic reproduction number and analyze the globally dynamic behaviors of the disease-free equilibrium when the basic reproduction number is less than one. The effects of various immunization schemes are studied. Finally, the final sizes relation is derived for the network epidemic model. The derivation depends on an explicit formula for the basic reproduction number of network of disease transmission models.