Description:
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.