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

Autor: Dwi Lestari, Noorma Yulia Megawati, Nanang Susyanto, Fajar Adi-Kusumo
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 19, Iss 2, Pp 1515-1535 (2022)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2022070?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals