Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China
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 preventi...
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Format: | Article |
Language: | English |
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AIMS Press
2014-05-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1115 |
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author | Mingtao Li Guiquan Sun Juan Zhang Zhen Jin Xiangdong Sun Youming Wang Baoxu Huang Yaohui Zheng |
author_facet | Mingtao Li Guiquan Sun Juan Zhang Zhen Jin Xiangdong Sun Youming Wang Baoxu Huang Yaohui Zheng |
author_sort | Mingtao Li |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-999f38619a9342289349bf2f0cef7f3e |
institution | Kabale University |
issn | 1551-0018 |
language | English |
publishDate | 2014-05-01 |
publisher | AIMS Press |
record_format | Article |
series | Mathematical Biosciences and Engineering |
spelling | doaj-art-999f38619a9342289349bf2f0cef7f3e2025-01-24T02:28:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-05-011151115113710.3934/mbe.2014.11.1115Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, ChinaMingtao Li0Guiquan Sun1Juan Zhang2Zhen Jin3Xiangdong Sun4Youming Wang5Baoxu Huang6Yaohui Zheng7Department of Mathematics, North University of China, Taiyuan, Shanxi 030051Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030051Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030051Department of mathematics, North University of China, Taiyuan 030051, PRChina Animal Health and Epidemiology Center, Qingdao, Shandong 266032China Animal Health and Epidemiology Center, Qingdao, Shandong 266032China Animal Health and Epidemiology Center, Qingdao, Shandong 266032Hinggan League Animal Sanitation Supervision Stations, Ulanhot, Inner Mongolia, 137400Brucellosis 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.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1115brucellosisvaccination and detectioncontrol strategy.basic reproduction number |
spellingShingle | Mingtao Li Guiquan Sun Juan Zhang Zhen Jin Xiangdong Sun Youming Wang Baoxu Huang Yaohui Zheng Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China Mathematical Biosciences and Engineering brucellosis vaccination and detection control strategy. basic reproduction number |
title | Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China |
title_full | Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China |
title_fullStr | Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China |
title_full_unstemmed | Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China |
title_short | Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China |
title_sort | transmission dynamics and control for a brucellosis model in hinggan league of inner mongolia china |
topic | brucellosis vaccination and detection control strategy. basic reproduction number |
url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1115 |
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