The Asymptotic Analysis of an Epidemic Model with Quarantine and Infection-age-Dependence

摘要

Dynamical behavior of a high-dimension nonlinear SEIQR model with infection-age-dependence is studied. The existence and uniqueness of positive solution of differential-integral equations is proved. By analyzing the asymptotical behaviors of the model, the threshold is found and stabilities of disease-free and endemic equilibria are obtained.