Fractional differential equation modeling of the HBV infection with time delay and logistic proliferation

Sun，Deshun1,2; Liu，Jingxiang3; Su，Xiuyun1; Pei，Guoxian1

2022-11-11

10.3389/fpubh.2022.1036901

Frontiers in Public Health   Impact Factor & Quartile

2296-2565

In this article, a fractional-order differential equation model of HBV infection was proposed with a Caputo derivative, delayed immune response, and logistic proliferation. Initially, infection-free and infection equilibriums and the basic reproduction number were computed. Thereafter, the stability of the two equilibriums was analyzed based on the fractional Routh–Hurwitz stability criterion, and the results indicated that the stability will change if the time delay or fractional order changes. In addition, the sensitivity of the basic reproduction number was analyzed to find out the most sensitive parameter. Lastly, the theoretical analysis was verified by numerical simulations. The results showed that the time delay of immune response and fractional order can significantly affect the dynamic behavior in the HBV infection process. Therefore, it is necessary to consider time delay and fractional order in modeling HBV infection and studying its dynamics.

fractional order HBV model Hopf bifurcation stability time delay

SCI ; SSCI

English

First ; Corresponding

National Natural Science Foundation of China[62003071];National Natural Science Foundation of China[62103287];Shenzhen Fundamental Research Program[JCYJ20210324103209026];Shenzhen Institutes of Advanced Technology Innovation Program for Excellent Young Researchers[RCBS20200714114856171];

Public, Environmental & Occupational Health

Public, Environmental & Occupational Health

WOS:000890233200001

FRONTIERS MEDIA SA

2-s2.0-85142634788

Scopus

1.Intelligent Medical Innovation Center,Southern University of Science and Technology Hospital,Shenzhen,China
2.Shenzhen Key Laboratory of Tissue Engineering,Shenzhen Second People's Hospital (The First Hospital Affiliated to Shenzhen University,Health Science Center),Shenzhen,China
3.School of Marine Electrical Engineering,Dalian Maritime University,Dalian,China

Sun，Deshun,Liu，Jingxiang,Su，Xiuyun,et al. Fractional differential equation modeling of the HBV infection with time delay and logistic proliferation[J]. Frontiers in Public Health,2022,10.

Sun，Deshun,Liu，Jingxiang,Su，Xiuyun,&Pei，Guoxian.(2022).Fractional differential equation modeling of the HBV infection with time delay and logistic proliferation.Frontiers in Public Health,10.

Sun，Deshun,et al."Fractional differential equation modeling of the HBV infection with time delay and logistic proliferation".Frontiers in Public Health 10(2022).