scholarly journals Fuzzy Logic Approach for Solving an Optimal Control Problem of an Uninfected Hepatitis B Virus Dynamics

2015 ◽  
Vol 06 (09) ◽  
pp. 1524-1537 ◽  
Author(s):  
Jean Marie Ntaganda ◽  
Marcel Gahamanyi
Keyword(s):  
Optimal Control ◽  
Fuzzy Logic ◽  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Virus Dynamics ◽  
B Virus ◽  
Fuzzy Logic Approach ◽  
Logic Approach

scholarly journals Solving an optimal control problem of hepatitis B virus dynamics: Efficacy of fuzzy logic strategy

2021 ◽  
Vol 4 (1) ◽  
pp. 1-18
Author(s):  
Marcel Gahamanyi ◽  
Wellars Banzi ◽  
Jean Marie Ntaganda
Keyword(s):  
Optimal Control ◽  
Fuzzy Logic ◽  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Direct Method ◽  
Linear Quadratic ◽  
B Virus ◽  
Good Agreement

This work aims at using fuzzy logic strategy to solve a hepatitis B virus (HBV) optimal control problem. To test the efficacy of this numerical method, we compare numerical results with those obtained using direct method. We consider a patient under treatment during 12 months where the two drugs are taken as controls. The results are rather satisfactory. In particular, the reaction of HBV to drugs can be modeled and a feedback can be approximated by the solution of a linear quadratic problem. The drugs reduce the risk of HBV. Furthermore, results of both numerical methods are in good agreement with experimental data and this justifies the efficacy of fuzzy logic strategy in solving optimal control problems.

scholarly journals Mathematical Modeling of Transmission Dynamics and Optimal Control of Vaccination and Treatment for Hepatitis B Virus

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Ali Vahidian Kamyad ◽  
Reza Akbari ◽  
Ali Akbar Heydari ◽  
Aghileh Heydari
Keyword(s):  
Optimal Control ◽  
Hepatitis B Virus ◽  
Hepatitis B ◽  
Public Health Problem ◽  
Hbv Infection ◽  
Optimal Control Strategy ◽  
B Virus ◽  
Existence And Stability ◽  
Steady State Solutions ◽  
Disease Free

Hepatitis B virus (HBV) infection is a worldwide public health problem. In this paper, we study the dynamics of hepatitis B virus (HBV) infection which can be controlled by vaccination as well as treatment. Initially we consider constant controls for both vaccination and treatment. In the constant controls case, by determining the basic reproduction number, we study the existence and stability of the disease-free and endemic steady-state solutions of the model. Next, we take the controls as time and formulate the appropriate optimal control problem and obtain the optimal control strategy to minimize both the number of infectious humans and the associated costs. Finally at the end numerical simulation results show that optimal combination of vaccination and treatment is the most effective way to control hepatitis B virus infection.

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