scholarly journals A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination

2021 ◽  
Vol 28 (1) ◽  
pp. 87-106
Author(s):  
Getachew Teshome Tilahun ◽  
Woldegebriel Assefa Woldegerima ◽  
Nesredin Mohammed
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Fractional Order ◽  
Age Structure ◽  
Transmission Dynamics ◽  
Order Model ◽  
Fractional Order Model ◽  
B Virus

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

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Ruiqing Shi ◽  
Ting Lu ◽  
Cuihong Wang
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Fractional Order ◽  
Reproduction Number ◽  
Sufficient Conditions ◽  
Order Model ◽  
Fractional Order Model ◽  
B Virus ◽  
The Stability ◽  
Holling Ii Functional Response

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.

A fractional order model for Hepatitis B virus with treatment via Atangana–Baleanu derivative

2020 ◽  
Vol 538 ◽  
pp. 122636 ◽  
Author(s):  
Syed Azhar Ali Shah ◽  
Muhammad Altaf Khan ◽  
Muhammad Farooq ◽  
Saif Ullah ◽  
Ebraheem O. Alzahrani
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Fractional Order ◽  
Order Model ◽  
Fractional Order Model ◽  
B Virus

scholarly journals The dynamics of fractional order Hepatitis B virus model with asymptomatic carriers

2021 ◽  
Vol 60 (4) ◽  
pp. 3945-3955
Author(s):  
Nadia Gul ◽  
Rubi Bilal ◽  
Ebrahem A. Algehyne ◽  
Maryam G. Alshehri ◽  
Muhammad Altaf Khan ◽  
...  
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Fractional Order ◽  
Asymptomatic Carriers ◽  
B Virus ◽  
Virus Model

A fractal-fractional order Atangana-Baleanu modelfor Hepatitis B virus with asymptomatic class

2021 ◽  
Author(s):  
Jian-Feng Zhong ◽  
Nadia Gul ◽  
Rubi Bilal ◽  
Weifeng Xia ◽  
Muhammad Altaf Altaf Khan ◽  
...  
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Fractional Order ◽  
B Virus

scholarly journals Effect of Control on the Mathematical Model of Hepatitis B Virus with Infective Migrant

2020 ◽  
pp. 58-70
Author(s):  
Folahan S. Akinboro ◽  
T. O. Oluyo ◽  
O. O. Kehinde ◽  
S. Alao
Keyword(s):  
Mathematical Model ◽  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Control Strategy ◽  
Transmission Dynamics ◽  
Optimal Control Strategy ◽  
Control Variables ◽  
B Virus ◽  
Implicit Finite Difference ◽  
The Mathematical Model

The transmission dynamics of Hepatitis B Virus in a population with infective immigrant is presented with the inclusion of an optimal control strategy to curtail the spread of the virus. To understand the spread of this infection, we develop a mathematical model with control variables of migrant screening and public sensitization. The optimality system is characterized using Pontryagin’s maximum principle and solve numerically with an implicit finite difference method.  Result of the numerical simulation is presented to illustrate the feasibility of this control strategy. The analysis reveals that combination of both control variables could be the most fruitful way to reduce the incidence of Hepatitis B virus.

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