scholarly journals Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Anwar Zeb ◽  
Gul Zaman
Keyword(s):  
Mathematical Biology ◽  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Global Stability ◽  
Recent Literature ◽  
Transmission Model ◽  
Reproductive Number ◽  
Migration Effect ◽  
B Virus ◽  
Stability Results

We show the erroneous assumptions and reasoning by introducing the migration effect of individuals in the transmission model of Hepatitis B virus. First, some false results related to the eigenvalues and reproductive number in the recent literature in mathematical biology will be presented. Then, it will be proved that the product of the matrices in the next generation method to obtain the reproductive numberR0is not correct and the local and global stability results based on the reproductive numberR0are considered false.

scholarly journals Comment on “Transmission Model of Hepatitis B Virus with the Migration Effect”

2015 ◽  
Vol 2015 ◽  
pp. 1-2 ◽  
Author(s):  
Abid Ali Lashari
Keyword(s):  
Mathematical Biology ◽  
Hepatitis B Virus ◽  
Recent Literature ◽  
Reproduction Number ◽  
Transmission Model ◽  
Migration Effect ◽  
True Value ◽  
B Virus ◽  
Improved Stability ◽  
The Basic Reproduction Number

Some consequences of erroneous results concerning eigenvalues in the recent literature of mathematical biology are highlighted. Furthermore, an improved stability criterion and the true value of the basic reproduction number is presented.

scholarly journals Corrigendum to “Transmission Model of Hepatitis B Virus with the Migration Effect”

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Muhammad Altaf Khan ◽  
Saeed Islam ◽  
Muhammad Arif ◽  
Zahoor ul Haq
Keyword(s):  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Transmission Model ◽  
Migration Effect ◽  
B Virus

scholarly journals Global stability analysis of hepatitis B virus dynamics

F1000Research ◽  
2021 ◽  
Vol 10 ◽  
pp. 429
Author(s):  
Olajumoke Oludoun ◽  
Olukayode Adebimpe ◽  
James Ndako ◽  
Oluwakemi Abiodun ◽  
Babatunde Gbadamosi ◽  
...  
Keyword(s):  
Risk Factor ◽  
Stability Analysis ◽  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Global Stability ◽  
Spontaneous Clearance ◽  
Effective Measure ◽  
Global Stability Analysis ◽  
B Virus ◽  
The Impact

This paper considers the impact of an acute individual's spontaneous clearance, recovery of a chronic individual with full immunity, and risk factor reduction on a hepatitis B virus (HBV) model. The existence and the positivity solution of the model are established. The model threshold quantity is defined and sensitivity analysis is analyzed to demonstrate the effect of various parameters on the spread of the virus. The global stability analysis of the equilibrium is shown using Lyapunov and comparison theorem methods. Finally, computational simulation is presented to validate the analytical solution. The results show that treatment, spontaneous clearance and reduction of the risk factor are highly successful in transmitting and regulating HBV transmission. The effective measure of these parameters as substantiated by our simulations, providing an excellent control method of the transmissible infection of HBV.

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