A SVEIR model with Imperfect Vaccine

Philippe Adda (1) , Léontine Nkague Nkamba (1) , Gauthier Sallet (1, 2) , Lorenzo Castelli (3)

1 MASAIE - Tools and models of nonlinear control theory for epidemiology and immunology
2 UMMISCO - Unité de modélisation mathématique et informatique des systèmes complexes [Bondy]
3 CTL - Cognitive Technology Laboratory, Department of Psychology

We consider a SVEIR model with standard mass action and differential death rates for each compartment, susceptible individuals S, vaccinated V , exposed E, infectious I and permanently removed R. The susceptible population is increased by the net in-flow (recruitment) of individuals into the region, either by birth or immigration. We assume that a proportion of newborn are vaccinated at birth, the remainder enter the S compartment. Each subpopulation is decreased by death, the death rate being specific to each compartment. Susceptible individuals (regardless of whether they have been previously vaccinated) are further vaccinated at the rate p.

Domaines: Automatique

Philippe Adda, Léontine Nkague Nkamba, Gauthier Sallet, Lorenzo Castelli. A SVEIR model with Imperfect Vaccine. CMPD 3 Conference on Computational and Mathematical Population Dynamics, May 2010, Bordeaux, France. ⟨hal-00764764⟩