Qualitative behaviour of a stochastic hepatitis C epidemic model in cellular level

• Main Authors: Lestari, Dwi, Megawati, Noorma Yulia, Susyanto, Nanang, Kusumo, Fajar Adi
• Format: Other NonPeerReviewed
• Language: English
• Published: Mathematical Biosciences and Engineering 2022
• Subjects: Statistics
• Online Access: https://repository.ugm.ac.id/284240/1/125.Qualitative%20behaviour%20of%20a%20stochastic%20hepatitis%20C%20epidemic%20model%20in%20cellular.pdf; https://repository.ugm.ac.id/284240/; http://www.aimspress.com/journal/MBE
• Institution: Universitas Gadjah Mada

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