AGE-STRUCTURED MODELING FOR THE DIRECTLY TRANSMITTED INFECTIONS - I: CHARACTERIZING THE BASIC REPRODUCTION NUMBER*

摘要

One of the main features of directly transmitted infections is the strong dependency of the risk of infection with age. We propose and analyze a simple mathematical model where the force of infection (per-capita incidence rate) is age-depending. The existence and stability of the non-trivial equilibrium point are determined based on the basic reproduction number. For this reason we deal with a characterization of the basic reproduction number by applying the spectral radius theory.