Global Stability of an SEIRS Model with Impulsive Vaccination and Saturating Incidence Rate

Yang Yang (North China University of Technology)
Cheng Nannan (North China University of Technology)

Indonesian Journal of Electrical Engineering and Computer Science
Vol 12, No 9: September 2014

This paper introduces a impulsive vaccination SEIRS epidemic model with constant input, saturation incidence rate and exposed period, and the threshold valueσ=1 is obtained at which disease is eliminated. By using the impulsive differential equation theory, it is proved that whenσ<1, the disease-free periodic solution is globally asymptotically stable, and that whenσ>1,the system is uniformly persistent. On these grounds, it is shown that impulsive vaccination can bring obvious effects on the dynamics behaviors of the system.