Epidemics and Local Demographic Dynamics

The investigation of the interactions between the demographic dynamics of a healthy population and the perturbations induced in it by the progession of an epidemics is the object of this study. A SIR epidemic model is progressively enriched with demographic features, such as birth-death imbalance, disease-induced deaths, vertical transmission and infectious immigration and its equilibria are investigated. A statistical setting is then established in order to test the relevance of the demographic features of the various modelling hypotheses.