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

作　　者：宋燕[1] 张宇[1] 刘薇[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2013年第2期97-100,171,共5页Journal of Bohai University:Natural Science Edition

基　　金：国家自然科学基金项目(No:61070242);辽宁省教育厅项目(No:L2012404)

摘　　要：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.

关 键 词：传染病模型 连续接种 稳定性 广义Bendixson-Dulac定理 控制器 

分 类 号：O175.1[理学—数学]