  In this paper, we consider the impact of time delay by media on the control
of the disease. We set up a class of SISM epidemic model with the time delay
and the cumulative density of awareness caused by media. The sufficient
condition of global asymptotic stability of disease-free equilibrium is
approved. We get the global stability of the epidemic equilibrium and the
existence conditions of Hopf bifurcation. Numerical simulations are presented
to illustrate the analytical results. Finally, we analyze the influence of
parameters on the control of infectious disease by combining the data of H1N1.
By shortening the time of media lag, increasing transmission rate of media and
the implementation rate of the media project, the spread of disease will be
controlled effectively.
