Influence of environmental fluctuations on Hepatitis C transmission

Vuk Vujović

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 191, issue C, 203-218

Abstract: In this paper we discuss the dynamical properties of stochastic Hepatitis C model that describes its transmission. At the beginning, the existence and uniqueness of global positive solution of system are proven. As for the stability properties, first the stability in probability of disease-free equilibrium is obtained. Then, we establish the conditions under which extinction of the disease from the population occurs. Also, the conditions for the parameters of the model under which the solution of the system is persistent in mean are found. In the end, we use numerical simulations to confirm our theoretical results.

Keywords: Stochastic Hepatitis C model; Stability in probability; Extinction of disease; Lyapunov function; Persistence in mean; Numerical simulations (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:191:y:2022:i:c:p:203-218

DOI: 10.1016/j.matcom.2021.08.008

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