一类具有标准发生率SIR模型的稳定性分析及控制

Stability analysis and control for a class of SIR model with standard incidence

研究了具有标准发生率且对易感者和新生儿进行预防接种的SIR传染病模型,得到了无病平衡点和地方病平衡点全局渐近稳定的条件,基于Lyapunov方法设计了控制器,给出无病平衡点全局渐近稳定的条件.

The SIR epidemical model with standard incidence and continuous vaccinations for the infective and the news are discussed.The conditions for global asymptotical stability of the disease-free equilibrium and the endemic equilibrium are obtained.Further,the conditions for global asymptotical stability of the disease free equilibrium are given by establishing controller based on Lyapunov method.