Stability Analysis of an SIRS Epidemic Model with Information Intervention

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.