具有时滞和标准发生率的SIR流行病模型全局稳定性分析

On the Global Stability of SIR Epidemic Model with Time Delay and Standard Incidence

研究了一类具有时滞和标准发生率的SIR流行病模型的动力学性质,运用Lyapunov泛函的方法,得到了地方病平衡点和无病平衡点全局稳定的充要条件,进而揭示了时滞对平衡点稳定性的影响.

In this paper,a SIR epidemic model with time delay and standard incidence is investigated. The global stability of the endemic equilibrium and disease free equilibrium is discussed by constructing a Lyapunov functional.The effect of time delay on the stability of the equilibrium points is also discussed.