Abstract

In this paper, we generalize and analyze the stochastic Hepatitis B epidemic model with perfect vaccination and varying population size. We take the lead in using the stochastic differential equation with Levy jumps to study the asymptotic behavior of the Hepatitis B epidemic model. Taking the accumulated jump size into account, the threshold of our epidemic model is investigated, which determines the persistence or extinction of the Hepatitis B. Numerical simulations are introduced to show the validity of our results.

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