In this paper,a stochastic SIQS epidemic model perturbed by both white and telephone noises is investigated.By constructing several suitable Lyapunov functions,we obtain sufficient conditions for the existence of ergo...In this paper,a stochastic SIQS epidemic model perturbed by both white and telephone noises is investigated.By constructing several suitable Lyapunov functions,we obtain sufficient conditions for the existence of ergodic stationary distribution of the positive solution.Moreover,by solving the Fokker-Planck equation,we obtain the exact expression of probability density function around the quasi-equilibrium of the stochastic model.In addition,sufficient conditions for the extinction are established.Finally,the results of this paper are further verified by numerical simulation.展开更多
基金supported by the Natural Science Foundation of Changchun Normal University(No.2021-005).
文摘In this paper,a stochastic SIQS epidemic model perturbed by both white and telephone noises is investigated.By constructing several suitable Lyapunov functions,we obtain sufficient conditions for the existence of ergodic stationary distribution of the positive solution.Moreover,by solving the Fokker-Planck equation,we obtain the exact expression of probability density function around the quasi-equilibrium of the stochastic model.In addition,sufficient conditions for the extinction are established.Finally,the results of this paper are further verified by numerical simulation.
