【摘要】 通过微分模型,对一类对染病者进行隔离的SIQR模型进行了研究,获得了SIQR传染病模型基本再生数R₀,得到了SIQS模型的无病平衡点以及地方平衡点;证明了无病平衡点总是存在的,且当R₀≤1时是全局渐近稳定的,R₀>1时无病平衡点是不稳定的;当R₀>1时,还存在地方病平衡点并且是全局渐近稳定的.更多还原

【Abstract】 Through a differential model,this paper studies a SIQR model in which the infectives are segregated and gets the basic reproductive number R₀ of the SIQR epidemic model as well as the disease-free equilibrium and local equilibrium.The disease free eqilibrium always exists,which is globally asymptotically stable if R₀≤1 and unstable if R₀>1.When R₀>1,the endemic equilibrium exists,which is globally asymptotically stable.更多还原