Asymptotic Behavior of an Epidemic Model with Infection-Age-Dependence

The dynamical behavior of an infection-age-dependent epidemic model with general form nonlinear saturated infectivity is studied.The threshold which determines the outcome of the infectious disease is identified and the stability of equilibrium is discussed.When the threshold is less than one,the disease-free equilibrium is globally asymptotically stable,whereas,when the threshold is greater than one,there exist both disease-free unstable equilibrium and solely stable endemic equilibrium,and the disease will persist.Some related results are the corollaries of this article.