Mathematical Analysis of Control Strategies of HCV in a Community with Inflow of Infected Immigrants

Abstract

In this paper, we derive and analyse rigorously a mathematical model of control strategies (screening, education, health care and immunization) of HCV in a community with inflow of infected immigrants. Both qualitative and quantitative analysis of the model is performed with respect to stability of the disease free and endemic equilibria. The results show that the disease free equilibrium is locally stable at threshold parameter less than unity and unstable at threshold parameter greater than unity. Using Lyapunov method, endemic equilibrium is globally stable under certain conditions. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the HCV model in a community with inflow of infected immigrants. However, analysis shows that screening, education, health care and immunization have the effect of reducing the transmission of the disease in the community.

Hepatitis C Virus Epidemic Control Using a Nonlinear Adaptive Strategy

“…Naturally the recovered people transmit to this class from the acutely infected and chronically infected compartments and become immune against this. Ainea et al [17] extended the previous model [16] by adding the exposed class. Both of these models [16] and [17] considered the HCV disease-induced death rate for both acutely-infected and chronically infected classes.…”

“…Ainea et al [17] extended the previous model [16] by adding the exposed class. Both of these models [16] and [17] considered the HCV disease-induced death rate for both acutely-infected and chronically infected classes. Shen et al [18] proposed a dynamical model with six classes including susceptible, exposed, acutely infected, chronically infected, treated and recovered populations.…”

Optimal neuro‐fuzzy control of hepatitis C virus integrated by genetic algorithm

“…Pontryagin's maximum principle was used to solve the optimal control problem and constant control inputs were introduced for that purpose. Ainia et al [13] established a mathematical model for HCV by considering infected immigrants and introduced a Lyapunov‐based analysis for the model. Stability analysis of disease free and endemic equilibrium cases was done and sensitivity of model parameters was investigated.…”