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A Protocol for Analyzing Hepatitis C Virus Replication
Published on: June 26, 2014
Qualitative behaviour of a stochastic hepatitis C epidemic model in cellular level
Dwi Lestari1,2, Noorma Yulia Megawati1, Nanang Susyanto1
1Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, Indonesia.
Abstract:
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.
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