Paper Info
Title
Mathematical Modeling Of Hepatitis B Infection With Vaccination And Optimal Control Interventions
Abstract
In this paper, we formulate a mathematical model to analyze the impact of hospitalization and vaccination on the transmission dynamics of hepatitis B infection. Initially, we evaluate the model equilibria and basic reproduction number. Further, using Lyapunov function we prove that the model has a globally asymptotically stable infection free equilibrium when the basic reproduction number is less than 1, and using geometric approach we show global asymptotic stability of endemic equilibrium, when R-0 > 1. We perform sensitivity analysis of R-0 to identify the dominant parameters that seriously affect the hepatitis B infection. After that, using optimal control theory and Pontryagin's maximum principle, we develop the control problem and illustrate the necessary optimality conditions. Finally, we perform the numerical simulations in order to point out the effectiveness of control interventions.
Year
DOI
Venue
2020
10.3233/JCM-190028
JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING
Keywords
DocType
Volume
Hepatitis B infection model, stability, simulations, control analysis, hospitalization
Journal
20
Issue
ISSN
Citations 
1
1472-7978
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Saif Ullah101.01
Muhammad Altaf Khan222.83
Muhammad Farooq33110.82