In this paper, we consider a fractional hepatitis B epidemic model. We illustrate the solvability through solutions for the model. The basic reproduction number which is represented by $R_0$ is obtained. The disease-free and endemic equilibria of the model will be obtained. Finally, by fractional Barbalat’s Lemma, global dynamics of the model is studied.

中文翻译：

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具有一般入射函数的分数SIR模型的分析

在本文中，我们考虑了部分乙型肝炎流行模型。我们通过模型的解来说明可解性。基本再现编号，用${\mathrm{[R}}_0$获得。将获得该模型的无病和地方性平衡。最后，通过分数巴巴拉特的引理，研究了模型的整体动力学。