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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 432602, 10 pages
http://dx.doi.org/10.1155/2014/432602
Research Article

Modeling Transmission Dynamics of Streptococcus suis with Stage Structure and Sensitivity Analysis

1Key Lab of Animal Bacteriology of Ministry of Agriculture, College of Veterinary Medicine, Nanjing Agricultural University, Nanjing, Jiangsu 210095, China
2China Animal Health and Epidemiology Center, Qingdao, Shandong 266032, China
3Department of Mathematics, North University of China, Taiyuan, Shan’xi 030051, China
4Qingdao Municipal Center for Disease Control and Prevention, Qingdao, Shandong 266032, China

Received 7 December 2013; Revised 29 January 2014; Accepted 29 January 2014; Published 16 March 2014

Academic Editor: Delfim F. M. Torres

Copyright © 2014 Chaojian Shen 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.

Abstract

Streptococcosis is one of the major infectious and contagious bacterial diseases for swine farm in southern China. The influence of various control measures on the outbreaks and transmission of S. suis is not currently known. In this study, in order to explore effective control and prevention measures we studied a deterministic dynamic model with stage structure for S. suis. The basic reproduction number is identified and global dynamics are completely determined by . It shows that if , the disease-free equilibrium is globally stable and the disease dies out, whereas if , there is a unique endemic equilibrium which is globally stable and thus the disease persists in the population. The model simulations well agree with new clinical cases and the basic reproduction number of this model is about 1.1333. Some sensitivity analyses of in terms of the model parameters are given. Our study demonstrates that combination of vaccination and disinfection of the environment are the useful control strategy for S. suis.