纺织高校基础科学学报2017，Vol.30Issue(2)：163-170,8.DOI:10.13338/j.issn.1006-8341.2017.02.002
伪狂犬病模型的全局稳定性分析
Global stability analysis of a pseudorabies virus model
摘要
Abstract
A pseudorabies virus model is established,and its dynamics is studied to obtain the basic reproduction number which determines the extinction and persistence of the disease.When the basic reproduction number is less than unity, there is only the disease-free equilibrium, by the linearization and Liapunov function methods, the global stability of the disease-free equilibrium is discussed.When the basic reproduction number is greater than unity, the disease-free equilibrium is unstable, there is also one unique positive equilibrium.The global stability of the positive equilibrium is proved by linearization and geometric methods.关键词
伪狂犬病/基本再生数/全局稳定性/Liapunov函数Key words
pseudorabies virus/basic reproduction number/global stability/Liapunov function分类
数理科学引用本文复制引用
刘文娟,刘俊利..伪狂犬病模型的全局稳定性分析[J].纺织高校基础科学学报,2017,30(2):163-170,8.基金项目
国家自然科学基金资助项目(11101323) （11101323）
中央高校教育教学改革专项经费资助项目(310612176301) （310612176301）
陕西省教育厅专项科研计划项目(16JK1331) （16JK1331）
