带有标准发生率和信息干预的随机时滞SIRS传染病模型的动力学行为
摘要
A class of stochastic-time-delay SIRS infectious disease models with standard incidence under information intervention were considered. A stopping time was defined. Then the existence of a unique global positive solution was proved through construction of a suitable Lyapunov function to prove the stopping time is infinite. The asymptotic behaviors of the model solution around the disease-free equilibrium point and the endemic equilibrium point of the deterministic model were studied with suitable Lyapunov functions respectively. The results show that, the solution of the stochastic system involves random vibration around the 2 equilibrium points under certain conditions respectively.
引用本文（GB/T 7714）
胡华 赵英英, ZHAO Yingying, HU Hua. 带有标准发生率和信息干预的随机时滞SIRS传染病模型的动力学行为[J]. 应用数学和力学, 2019.
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