Abstract:
The asymptotic behavior of an SIRS epidemic model containing information intervention and vaccination has been studied. The results indicate that the basic reproduction number
ℜ0 is the threshold of disease persistence and extinction. If
ℜ0 < 1, the system has an disease-free equilibrium which is globally asymptotically stable, while if
ℜ0>1, there exists an epidemic equilibrium which is globally asymptotically stable. At last, some numerical exam-ples are given to illustrate the results.