during the infectious period [16, 17] . The effectiveness of intervention strategies are often measured by their ability to reduce the spread of a disease in a given population. In an epidemic model the magnitude of the effective reproduction number, < eff , determines whether or not an epidemic occurs and its severity [15] . When < eff w1, the number of infections grow and an epidemic occurs, however when < eff v1, the number of infections does not increase and there is no epidemic outbreak [15] . Without any interventions the model has an initial effective reproduction number (uncontrolled) < unc given by: