Modeling the effect of alcohol consumption on the progression dynamics of Hepatitis C infection with treatment

Abstract

This research introduces a model that integrates a logistic approach to alcohol consumption to delve into the effect of alcohol consumption on the advancement of hepatitis C infection, evaluates the effects of addressing hepatitis C treatment and reducing alcohol consumption to minimal levels in the control of hepatitis C infection. The hepatitis C model was well established and biologically reasonable, indicating that all model solutions were non-negative and associated with non-negative initial conditions. Stability analysis revealed that the disease-free and endemic equilibrium points were locally and globally asymptotically stable whenever the basic reproduction number, [Formula: see text] and [Formula: see text] respectively. Sensitivity and numerical analysis of the model showed that improving treatment for individuals with chronic infection, along with reducing alcohol consumption, led to a notable decrease in the number of people affected by chronic infection.