Hepatitis C Virus Transmission Dynamics Mathematical Model with the Best Control Strategies

Abstract

The Hepatitis C virus, which is spread by infected people, was studied using an epidemic model with the best control measures. In this work, we evaluated the impact of several optimum control measures for preventing the spread of Hepatitis C illness in the community using a deterministic compartmental model. The qualitative behavior of the system is investigated using the stability theory of differential equations. The state of endemicity is used to determine the fundamental reproduction number that serves as the epidemic indicator. For disease-free equilibrium, the prerequisites for both local and global stability are created. It is shown that the endemic equilibrium point is unique and that its global stability requirements are met. The model's numerical simulation demonstrated that the community may effectively eradicate Hepatitis C virus illness by implementing all intervention options.