Abstract
The prevalence of infection with hepatitis C virus (HCV) is higher among prison inmates compared with the general population because of the high proportion of intravenous drug misusers. In this paper, a mathematical model for the spread of HCV in correctional institutions is developed and analyzed. The impact of educational campaigns and screening of HCV infected individuals is examined. In the presence of screening, the study suggests that targeted education campaigns of more than 50% will be highly effective in controlling the sharing of injection equipment among intravenous drug users, thereby reducing HCV prevalence within the correctional institutions. Further, we applied optimal control theory to the proposed model. The controls represent educational campaigns and screening. The objective is based on minimizing cumulative latent and infectious cases within the correctional institution, while maximizing the number of susceptible nonintravenous drug misusers. The optimal control is characterized and numerically solved. Overall, the application of optimal control theory in this study suggests that, more effort should be devoted to educational campaigns compared to screening.
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