Global stability for a sheep brucellosis model with immigration
Global stability for a sheep brucellosis model with immigration
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带有移民的绵羊布鲁氏菌病模型的全局稳定性
DOI：
10.1016/j.amc.2014.08.028
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发表时间：
2014-11-01
影响因子：
4
通讯作者：
Zhang, Zi-Ke
中科院分区：
文献类型：
--
作者：
Sun, Gui-Quan;Zhang, Zi-Ke
绵羊布鲁氏菌病是我国养羊场的主要传染病之一。本文提出了一个考虑移民和比例生育的绵羊布氏杆菌病模型，并考虑了受感染动物和环境细菌的直接和间接传播。确定了该模型的基本再生数R-0，并证明了R-0完全决定了该模型的全局动力学行为。当R-0 < 1时，无病平衡点全局渐近稳定;当R-0 > 1时，存在唯一的地方病平衡点全局渐近稳定。通过对R-0 1情形的数值模拟< 1 and R-0 >，分别证明了无病平衡点和唯一地方病平衡点的全局稳定性。此外，还对基本繁殖数对某些参数的敏感性进行了分析，证实了消除、接种和消毒是有效的控制策略，并提出了减少羊群迁入和自给自足的控制策略。皇冠版权所有（C）2014由Elsevier Inc.发布。All rights reserved.
Sheep brucellosis is one of the major infectious and contagious bacterial diseases in the sheep farms of China. In this paper, we present a sheep brucellosis model with immigration and proportional birth, and consider both direct and indirect transmission with infected animals and the bacteria of the environment. The basic reproduction number R-0 of this model is identified and global dynamics are completely determined by R-0. If R-0 < 1, the disease-free equilibrium is global asymptotically stable; whereas if R-0 > 1, there is a unique endemic equilibrium which is global asymptotically stable. By numerical simulations for the cases with R-0 < 1 and R-0 > 1 to demonstrate the global stability of the disease-free equilibrium and the unique endemic equilibrium, respectively. In addition, sensitivity analysis of the basic reproduction number in term of some parameters is given, this paper confirmed that elimination, vaccination and disinfection are the useful control strategies, and proposed to reduce immigration and self-sufficiency of the flock for controlling sheep brucellosis. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.