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.
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