Dynamics of Infectious Diseases with Media Coverage and Two Time Delay

Abstract

An epidemic model is formulated and analysed on the prevalence of infectious diseases using awareness campaign driven by media with the aim to investigate the effect of awareness and delay on disease outbreak. Two time-delay factors are considered, one is for the time lag in reporting number of infected individuals and another is for the delay between the awareness campaign and the time of taking measures by susceptible individual. The system exhibits two equilibria: the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable for any delay when the basic reproduction number is less than unity. The endemic equilibrium exhibits Hopf-bifurcation for both the delays. Numerical simulations prove the results of analytical outcomes and the significance of awareness and delay in controlling infectious diseases.