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

Authors :
Chaojian Shen
Mingtao Li
Wei Zhang
Ying Yi
Youming Wang
Qiang Hou
Baoxu Huang
Chengping Lu
Source :
Discrete Dynamics in Nature and Society, Vol 2014 (2014)
Publication Year :
2014
Publisher :
Wiley, 2014.

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 ℛ0 is identified and global dynamics are completely determined by ℛ0. It shows that if ℛ01, 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 ℛ0 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.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
10260226 and 1607887X
Volume :
2014
Database :
Directory of Open Access Journals
Journal :
Discrete Dynamics in Nature and Society
Publication Type :
Academic Journal
Accession number :
edsdoj.9e445086b470485aa2d7178b68182b72
Document Type :
article
Full Text :
https://doi.org/10.1155/2014/432602