Open AccessQualitative behaviour of a stochastic hepatitis C epidemic model in cellular level
Author(s) -
Dwi Lestari,
AUTHOR_ID,
Noorma Yulia Megawati,
Nanang Susyanto,
Fajar Adi-Kusumo,
AUTHOR_ID
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022070
Subject(s) - lyapunov function , stochastic modelling , epidemic model , extinction (optical mineralogy) , mathematics , noise (video) , transmission (telecommunications) , basic reproduction number , statistical physics , computer science , statistics , physics , population , nonlinear system , medicine , artificial intelligence , telecommunications , environmental health , quantum mechanics , optics , image (mathematics)
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.