A handful of mathematical models have described the impact of media coverage on the transmission dynamics of infectious diseases. Liu et al. [2] examined the potential for multiple outbreaks and sustained oscillations of emerging infectious diseases due to the psychological impact from reported numbers of infectious and hospitalized individuals. Liu & Cui [3] analysed a compartment model that described the spread and control of an infectious disease under the influence of media coverage. Li & Cui [17] incorporated constant and pulse vaccination in SIS epidemic models with media coverage. Cui et al., [18] showed that when the media impact is sufficiently strong, their modelwith incidence rate being of the exponential form capturing the alertness to the disease of each susceptible individual in the populationexhibits multiple positive equilibria (also see [2] ) which poses a challenge to the prediction and control of the outbreaks of infectious diseases.