Bifurcation for a disease model with the effect of mass media

In this paper, a four dimensional epidemic model was developed to quantify the effects of awareness created by the media strategy on the transmission and management of contagious diseases. The model was built on the assumption that infections occurred only through the effective contact between the infectives and susceptibles. It was also assumed that the expansion of media coverage influencing the population was a function of number of infectives. The model was studied qualitatively by employing stability theory and also quantitatively by employing a mathematical software. Both the qualitative and quantitative analyses revealed that the transmission of infectious diseases could be managed by employing awareness strategies but the disease might still persist in the population despite the implementation of awareness programmes, a phenomenon known as backward bifurcation.

کلیدواژه ها:

Mathematical model ، media ، infectious diseases ، effective contact ، backward bifurcation