In this paper, an impulsive vaccinated strategy to eradicate SIVS epidemic model is studied. Since infection age is an important factor of epidemic progression, we incorporate the infection age into the model. In this model, we analyze the dynamic behaviors of this model and obtain that there exists an infection-free periodic solution which is globally asymptotically stable under a sufficient condition. Our results indicate that a short period of pulse or a large pulse vaccination rate is the sufficient condition for the eradication of the disease.
Junyuan Yang 1,2 , Xiaoyan Wang 1 , Xuezhi Li 3 , Fengqin Zhang 1 (1. Dept. of Applied Math., Yuncheng University, Yuncheng 044000, Shanxi
