Dynamics of SIS model with saturation incidence, infection age and impulsive birth

摘要

In this paper, an impulsive birth and infection age SIS 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 dynamical behaviors of this model and point out that there exists an infection-free periodic solution that is globally asymptotically stable if R0<1. When R1>1, R2<1, then the disease is permanent. Our results indicate that a large period T of pulse, or a small pulse birth rate p is the sufficient condition for the eradication of the disease.