Dynamics of Stochastic SIR Infectious Disease Modeling with Limited Medical Resource and Ornstein-Uhlenbeck Process
Based on the limited medical resources and the disease transmission law,a stochastic SIR infectious disease model with Ornstein-Uhlenbeck process and general incidence is proposed.First,we discuss the uniqueness of the global positive solution of the model and give a sufficient condition for the extinction of the solution of the stochastic model.Second,the existence of a stationary distribution of the model is obtained by constructing Lyapunov function and applying the Itô formula.In addition,by solving the Fokker-Planck equation,the specific form of the density function near the quasi-endemic equilibrium is given.Finally,numerical simulations are used to explain the main theoretical results and investigate the effect of random perturbations on disease transmission.
Stochastic infectious disease modelLimited medical resourceExtinctionStationary distributionProbability density function
万方数据
维普
