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
Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Ruiqing Shi ◽  
Ting Lu ◽  
Cuihong Wang

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.


2021 ◽  
Vol 60 (4) ◽  
pp. 3945-3955
Author(s):  
Nadia Gul ◽  
Rubi Bilal ◽  
Ebrahem A. Algehyne ◽  
Maryam G. Alshehri ◽  
Muhammad Altaf Khan ◽  
...  

2021 ◽  
Author(s):  
Jian-Feng Zhong ◽  
Nadia Gul ◽  
Rubi Bilal ◽  
Weifeng Xia ◽  
Muhammad Altaf Altaf Khan ◽  
...  

2001 ◽  
Vol 120 (5) ◽  
pp. A64-A64
Author(s):  
R CHEN ◽  
P DESMOND ◽  
W DELANEY ◽  
D COLLEDGE ◽  
R EDWARDS ◽  
...  

2003 ◽  
Vol 38 (1) ◽  
pp. 95-101 ◽  
Author(s):  
Lee C.-M. ◽  
Chen C.-H. ◽  
Lu S.-N. ◽  
Tung H.-D. ◽  
Chou W.-J. ◽  
...  

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