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- W2015391697 abstract "In this paper, we include stochastic perturbations into SIR and SEIR epidemic models with saturated incidence and investigate their dynamics according to the basic reproduction number R0. The long time behavior of the two stochastic systems is studied. Mainly, we utilize stochastic Lyapunov functions to show under some conditions, the solution has the ergodic property as R0>1, while exponential stability as R0⩽1. At last, we make simulations to conform our analytical results." @default.
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- W2015391697 date "2012-04-01" @default.
- W2015391697 modified "2023-10-16" @default.
- W2015391697 title "The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence" @default.
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- W2015391697 doi "https://doi.org/10.1016/j.jmaa.2011.11.072" @default.
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