Dynamical aspects of an age-structured SIR endemic model

Abstract

The main idea of this work is to present and study the dynamical behavior of an age-dependent SIR endemic model. First, the age-dependent SIR endemic model is formulated from existing SIR epidemic models by adding age-dependent recruitment rate. The behavior of the model is analyzed by using the basic reproductive number R0. The stability theory is used for the analysis of disease-free and endemic equilibrium. Finally, finite difference method of characteristics is used to present numerical results for the suggested age-structured endemic model.