Research Article An SIRS Epidemic Model Incorporating Media Coverage with Time Delay

which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. An SIRS epidemic model incorporating media coverage with time delay is proposed. The positivity and boundedness are studied firstly.The locally asymptotical stability of the disease-free equilibrium and endemic equilibrium is studied in succession. And then, the conditions on which periodic orbits bifurcate are given. Furthermore, we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of the delay. The obtained results show that the time delay in media coverage can not affect the stability of the disease-free equilibrium when the basic reproduction numbe