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Transmission dynamics of a multi-group brucellosis model with mixed cross infection in public farm

文献类型：期刊论文

作者Li, Ming-Tao1; Sun, Gui-Quan2,3; Wu, Yan-Fang4; Zhang, Juan1; Jin, Zhen1,2
刊名APPLIED MATHEMATICS AND COMPUTATION
出版日期2014-06-15
卷号237页码:582-594
关键词Brucellosis Dynamical model Basic reproduction number Stability Control strategy
ISSN号0096-3003
DOI10.1016/j.amc.2014.03.094
文献子类Article
英文摘要Brucellosis is one of the major public health problems in China, since there is a very large number of cattle and sheep. While the mixed feeding between cattle and sheep in public farm is one of the most typical characteristics in brucellosis outbreak regions, which has a large influence on the spreading of brucellosis. In this paper, we propose a multi-group SEIRV dynamical model with bidirectional mixed cross infection between cattle and sheep, and aim to investigate the influence of cross infection of mixed feeding on the brucellosis transmission. Firstly, we obtain the basic reproduction number R-0, confirm the uniform existence and unique positive equilibrium of dynamic model when R-0 > 1 and prove the global stability of endemic equilibrium when R-0 > 1. In addition, sensitivity analysis of the infectious herds with different system in term of some parameter values are given. It is found that if there exists the bidirectional of mixed cross infection between cattle and sheep, the disease cannot disappear even though R-01 < 1 and R-02 < 1. These findings have important implication for brucellosis control: if we want to eliminate the brucellosis, firstly we should take measures to remove mixed cross infection, i.e., to prohibit mixed feeding. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.
WOS关键词MONGOLIA
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000335900000050
出版者ELSEVIER SCIENCE INC
资助机构National Natural Science Foundation of China(11301490 ; National Natural Science Foundation of China(11301490 ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; specialized research fund for the doctoral program of higher education(20121420130001) ; specialized research fund for the doctoral program of higher education(20121420130001) ; China Postdoctoral Science Foundation(2012M520814) ; China Postdoctoral Science Foundation(2012M520814) ; Shanghai Postdoctoral Science Foundation(13R21410100 ; Shanghai Postdoctoral Science Foundation(13R21410100 ; 11331009 ; 11331009 ; IDRC104519-010) ; IDRC104519-010) ; 11171314 ; 11171314 ; 11147015) ; 11147015) ; National Natural Science Foundation of China(11301490 ; National Natural Science Foundation of China(11301490 ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; specialized research fund for the doctoral program of higher education(20121420130001) ; specialized research fund for the doctoral program of higher education(20121420130001) ; China Postdoctoral Science Foundation(2012M520814) ; China Postdoctoral Science Foundation(2012M520814) ; Shanghai Postdoctoral Science Foundation(13R21410100 ; Shanghai Postdoctoral Science Foundation(13R21410100 ; 11331009 ; 11331009 ; IDRC104519-010) ; IDRC104519-010) ; 11171314 ; 11171314 ; 11147015) ; 11147015) ; National Natural Science Foundation of China(11301490 ; National Natural Science Foundation of China(11301490 ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; specialized research fund for the doctoral program of higher education(20121420130001) ; specialized research fund for the doctoral program of higher education(20121420130001) ; China Postdoctoral Science Foundation(2012M520814) ; China Postdoctoral Science Foundation(2012M520814) ; Shanghai Postdoctoral Science Foundation(13R21410100 ; Shanghai Postdoctoral Science Foundation(13R21410100 ; 11331009 ; 11331009 ; IDRC104519-010) ; IDRC104519-010) ; 11171314 ; 11171314 ; 11147015) ; 11147015) ; National Natural Science Foundation of China(11301490 ; National Natural Science Foundation of China(11301490 ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; Natural Science Foundation of Shan'Xi Province(2012021002-1) ; specialized research fund for the doctoral program of higher education(20121420130001) ; specialized research fund for the doctoral program of higher education(20121420130001) ; China Postdoctoral Science Foundation(2012M520814) ; China Postdoctoral Science Foundation(2012M520814) ; Shanghai Postdoctoral Science Foundation(13R21410100 ; Shanghai Postdoctoral Science Foundation(13R21410100 ; 11331009 ; 11331009 ; IDRC104519-010) ; IDRC104519-010) ; 11171314 ; 11171314 ; 11147015) ; 11147015)
源URL[http://ir.iggcas.ac.cn/handle/132A11/85704]  
专题中国科学院地质与地球物理研究所
通讯作者Sun, Gui-Quan
作者单位1.North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
2.Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
3.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
4.Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式
GB/T 7714		 Li, Ming-Tao,Sun, Gui-Quan,Wu, Yan-Fang,et al. Transmission dynamics of a multi-group brucellosis model with mixed cross infection in public farm[J]. APPLIED MATHEMATICS AND COMPUTATION,2014,237:582-594.
APA Li, Ming-Tao,Sun, Gui-Quan,Wu, Yan-Fang,Zhang, Juan,&Jin, Zhen.(2014).Transmission dynamics of a multi-group brucellosis model with mixed cross infection in public farm.APPLIED MATHEMATICS AND COMPUTATION,237,582-594.
MLA Li, Ming-Tao,et al."Transmission dynamics of a multi-group brucellosis model with mixed cross infection in public farm".APPLIED MATHEMATICS AND COMPUTATION 237(2014):582-594.

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来源：地质与地球物理研究所

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