Existence and uniqueness of the global positive solution and the stationary distribution of HBV epidemic model with second-order stochastic perturbation
This study proposes a model of hepatitis B virus infection with second-order sto-chastic perturbation and analyzes the dynamic behavior of the model when the fraction of ver-tical transmission μωνC is not taken into account as a new infection.Firstly,the existence and uniqueness of a global positive solution to the stochastic model are verified.Secondly,by creating a suitable Lyapunov function,this study proves that if RS0>1,there exists an erg-odic stationary distribution of the stochastic HBV model,and a random critical value RS0 is derived that is equal to the basic reproduction number R0 when the noise is equal to zero.
HBV modelstochastic perturbationstationary distribution
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