Models for communicable diseases with age-dependent mortality

We formulate and analyze qualitatively a model for the transmission of a communicable disease in a population of individuals with an age-dependent death rate. We examine the basic reproductive number and the stability of disease-free and endemic equilibria. In addition, we explore the relation between the basic reproductive number, life expectancy, and mean age at infection, which is rather more complicated than in simpler models.

Refreshments will be served in Math Annex Room 1115, 3:15 p.m.