一类具有病毒变异的Logistic死亡率SEIR传染病模型研究分析

Analysis on an SEIR Epidemic Model with Logistic Death Rate of Virus Mutation

中文关键词:  病毒变异  logistic死亡率  全局稳定  代数方法

英文关键词:virus mutation  logistic death rate  global stability  algebraic method

中文摘要:

      本文建立了一类具有病毒变异的Logistic死亡率SEIR传染病模型,借助Lyapunov函数和LaSalle's不变原理,证明了无病平衡点全局稳定性.利用代数方法构造Lyapunov函数,证明了地方病平衡点全局稳定性.另外,通过数值模拟分析了参数对疾病传播的影响.

英文摘要:

      In this paper, we propose an SEIR epidemic model with Logistic death rate of virus mutation. By means of the direct Lyapunov method and the LaSalle's Invariance Principle, the global stability of the disease-free equilibrium is proved. Using algebraic method to construct Lyapunov function, the global stability of the endemic equilibrium is proved. In addition, numerical simulations are done and the influence of parameters in the model on disease transmission is analyzed.