A minimum principle for stochastic control of hepatitis C epidemic model

In this paper, we discussed a stochastic optimal control of hepatitis C that minimizes the side effect and reduces the viral load. The control variables represent the drug therapy used for blocking a new infection and virus production. The solution of control problem is solved using the stochastic m...

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Bibliographic Details
Published in:Boundary value problems 2023-05, Vol.2023 (1), p.52-12, Article 52
Main Authors: Lestari, Dwi, Adi-Kusumo, Fajar, Megawati, Noorma Yulia, Susyanto, Nanang
Format: Article
Language:English
Subjects:
A four-step scheme
Analysis
Approximations and Expansions
Boundary value problems
Chemotherapy
Difference and Functional Equations
Disease control
Equilibrium
Genomes
Hepatitis C
Hepatitis C virus
Infections
Mathematical models
Mathematics
Mathematics and Statistics
Optimal control
Ordinary Differential Equations
Partial Differential Equations
Principles
Stochastic processes
The stochastic minimum principle
Therapy
Variables
Viruses
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Summary:In this paper, we discussed a stochastic optimal control of hepatitis C that minimizes the side effect and reduces the viral load. The control variables represent the drug therapy used for blocking a new infection and virus production. The solution of control problem is solved using the stochastic minimum principle and a four-step scheme. The numerical simulation is carried out to justify the theoretical analysis. The result shows that using both types of drugs for therapy is much more effective.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-023-01740-3