A minimum principle for stochastic control of hepatitis C epidemic model

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Dwi Lestari, Fajar Adi-Kusumo, Noorma Yulia Megawati, Nanang Susyanto

2023 Boundary Value Problems Vol. 2023 Issue 1 Article Cited by 7 Quartile

Abstract

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. © 2023, The Author(s).

Affiliations

Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, Indonesia; Department of Mathematics Education, Universitas Negeri Yogyakarta, Yogyakarta, Indonesia