Global properties of a general dynamic model for animal diseases: A case study of brucellosis and tuberculosis transmission

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:414

Article

Hou, Qiang^1,2  Sun, Xiangdong³  Wang, Youming³  Huang, Baoxu³  Jin, Zhen² 

[1] North Univ China, Sch Mechatron Engn, Taiyuan 030051, Shanxi, Peoples R China

[2] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[3] China Anim Hlth & Epidemiol Ctr, Qingdao 266032, Shandong, Peoples R China

关键词: Animal disease;    Dynamic system;    Basic reproduction number;    Stability;    Lyapunov function;   

DOI  :  10.1016/j.jmaa.2013.11.016

来源: Elsevier

【 摘 要 】

Animal diseases such as brucellosis and tuberculosis can be transmitted through an environmentally mediated mechanism, but the topics of most modeling work are based on infectious contact and direct transmission, which leads to the limited understanding of the transmission dynamics of these diseases. In this paper, we propose a new deterministic model which incorporates general incidences, various stages of infection and a general shedding rate of the pathogen to analyze the dynamics of these diseases. Under the biologically motivated assumptions, we derive the basic reproduction number R-0, show the uniqueness of the endemic equilibrium, and prove the global asymptotically stability of the equilibria. Some specific examples are used to illustrate the utilization of our results. In addition, we elaborate the epidemiological significance of these results, which are very important for the prevention and control of animal diseases. (C) 2013 Published by Elsevier Inc.

【 授权许可】

Free