您的位置:首页  > 论文页面

具有阶段结构的羊群布鲁氏菌病动力学分析

发表时间:2014-01-15  浏览量:1395  下载量:593
全部作者: 李明涛,靳祯,孙桂全
作者单位: 中北大学理学院;山西大学数学科学学院;复旦大学数学科学学院
摘 要: 结合中国羊群布鲁氏菌病的现状及特点,考虑羊群接触传染病以及环境中布鲁氏菌的直接和间接接触传染,建立了具有阶段结构的羊群布鲁氏菌病动力学模型。给予模型的基本再生数,当基本再生数大于1时,证明了正平衡点的存在唯一性,通过构造Lyapunov函数证明了无病平衡点和正平衡点的全局渐近稳定性。
关 键 词: 应用数学;布鲁氏菌病;基本再生数;存在唯一性;全局稳定性
Title: Dynamic analysis of sheep Brucellosis with stage structure
Author: LI Mingtao, JIN Zhen, SUN Guiquan
Organization: School of Science, North University of China; School of Mathematical Sciences, Shanxi University; School of Mathematical Sciences, Fudan University
Abstract: Combining the current situation and characteristics of sheep Brucellosis in China, and considering direct indirect contact transmission with infected sheep and indirect contact transmission with bacteria in the environment, the sheep Brucellosis dynamical model with stage structure was formulated. The basic reproduction number of this model was obtained, and we proved the existence and uniqueness of the endemic equilibrium when the basic reproduction number was larger than 1. By constructing Lyapunov functions, the global stability of the disease-free equilibrium and the endemic equilibrium were proved.
Key words: applied mathematics; Brucellosis; basic reproduction number; existence and uniqueness; global stability
发表期数: 2014年1月第1期
引用格式: 李明涛,靳祯,孙桂全. 具有阶段结构的羊群布鲁氏菌病动力学分析[J]. 中国科技论文在线精品论文,2014,7(1):52-57.
 
0 评论数 0
暂无评论
友情链接