Dwi Lestari, Noorma Yulia Megawati, Nanang Susyanto, Fajar Adi-Kusumo
In this paper, a mathematical model describing the dynamical of the spread of hepatitis C virus (HCV) at a cellular level with a stochastic noise in the transmission rate is developed from the deterministic model. The unique time-global solution for any positive initial value is served. The Ito’s Formula, the suitable Lyapunov function, and other stochastic analysis techniques are used to analyze the model dynamics. The numerical simulations are carried out to describe the analytical results. These results highlight the impact of the noise intensity accelerating the extinction of the disease. © 2022 the Author(s), licensee AIMS Press.
Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, Indonesia; Department of Mathematics Education, Universitas Negeri Yogyakarta, Yogyakarta, Indonesia
