The Asymptotic Behavior of a Stochastic SIQS Epidemic Model with Nonlinear Incidence
A general stochastic SIQS epidemic model with nonlinear incidence is investigated in this paper.By means of constructing appropriate Lyapunov functions and ergodicity theory,the asymptotically dynamical behaviors of a stochastic model around the positive equilibrium are considered.Our results show that if R0 ≤ 1,the solutions of the stochastic model fluctuate along the disease-free equilibrium (A/d,0,0),and if R0 ＞ 1,the stochastic model admits an invariant distribution which is ergordic.
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维普
