Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response

Ruiqing Shi, Ting Lu and Cuihong Wang

Complexity, 2019, vol. 2019, 1-13

Abstract:

In this paper, a fractional-order model is constructed to describe the transmission of Hepatitis B Virus (HBV). Firstly, the existence and uniqueness of positive solutions are proved. Secondly, the basic reproduction number and the sufficient conditions for the existence of two equilibriums are obtained. Thirdly, the stability of equilibriums are analyzed. After that, some numerical simulations are performed to verify the theoretical prediction. Finally, a brief discussion is presented.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:1097201

DOI: 10.1155/2019/1097201

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