Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China

Mingtao Li; Guiquan Sun; Juan Zhang; Zhen Jin; Xiangdong Sun; Youming Wang; Baoxu Huang; Yaohui Zheng

doi:10.3934/mbe.2014.11.1115

Article Contents

2014, Volume 11, Issue 5: 1115-1137. Doi: 10.3934/mbe.2014.11.1115

This issue Previous Article Dynamics of evolutionary competition between budding and lytic viral release strategies Next Article On optimization of substrate removal in a bioreactor with wall attached and suspended bacteria

Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China

1.
Department of Mathematics, North University of China, Taiyuan, Shanxi 030051
2.
Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030051
3.
Department of mathematics, North University of China, Taiyuan 030051, PR
4.
China Animal Health and Epidemiology Center, Qingdao, Shandong 266032
5.
Hinggan League Animal Sanitation Supervision Stations, Ulanhot, Inner Mongolia, 137400

Received: June 30, 2013

Revised: December 31, 2013

Published: May 2014

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Abstract

Brucellosis is one of the major infectious and contagious bacterial diseases in Hinggan League of Inner Mongolia, China. The number of newly infected human brucellosis data in this area has increased dramatically in the last 10 years. In this study, in order to explore effective control and prevention measures we propose a deterministic model to investigate the transmission dynamics of brucellosis in Hinggan League. The model describes the spread of brucellosis among sheep and from sheep to humans. The model simulations agree with newly infected human brucellosis data from 2001 to 2011, and the trend of newly infected human brucellosis cases is given. We estimate that the control reproduction number $\mathcal{R}_{c}$ is about $1.9789$ for the brucellosis transmission in Hinggan League and compare the effect of existing mixed cross infection between basic ewes and other sheep or not for newly infected human brucellosis cases. Our study demonstrates that combination of prohibiting mixed feeding between basic ewes and other sheep, vaccination, detection and elimination are useful strategies in controlling human brucellosis in Hinggan League.

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Mathematics Subject Classification: Primary: 58F15; Secondary: 53C35.

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