Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response-Reference-Cited by-同舟云学术

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

Published:2019-08-06 Issue: Volume:2019 Page:1-13
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Shi Ruiqing¹^ORCID,Lu Ting¹,Wang Cuihong¹^ORCID

Affiliation:

1. School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China

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.

Funder

Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2019/1097201.pdf

Reference37 articles.

1. Modelling the effects of contaminated environments on HFMD infections in mainland China

2. Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis

3. Dynamics Analysis of an Avian Influenza A (H7N9) Epidemic Model with Vaccination and Seasonality