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

Mathematical Biosciences and Engineering

Dwi Lestari¹  Fajar Adi-Kusumo²  Noorma Yulia Megawati²  Nanang Susyanto² 

[1] 1. Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, Indonesia 2. Department of Mathematics Education, Universitas Negeri Yogyakarta, Yogyakarta, Indonesia;1. Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, Indonesia;

关键词: hepatitis c virus;    stochastic noise;    transmission rate;    extinction;    persistence in mean;    numerical simulation;   

DOI  :  10.3934/mbe.2022070

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown