The effectiveness of a vaccination program depends on how the vaccinations are spread over the households of the community.
Here we formulate the optimal allocation of vaccinations as a linear programming problem, when the objective is to prevent epidemics with the minimum vaccination coverage.
A vaccine efficacy of less than 100%, as is usual in practice, is allowed for.
Optimal vaccine allocations attempt to leave the same number of susceptibles in every household if the disease has a very high transmission rate within households.
This means that proportionately more individuals need to be vaccinated in larger households if the vaccine efficacy is<100%. The linear programming formulation can accommodate heterogeneity among individuals of the proportionate mixing form and can also minimize the initial reproduction number for a given achievable vaccination coverage.
Mots-clés Pascal : Efficacité, Vaccination, Stratégie optimale, Prévention, Epidémie, Contamination, Immunisation, Approche probabiliste, Etude théorique
Mots-clés Pascal anglais : Efficiency, Vaccination, Optimal strategy, Prevention, Epidemic, Contamination, Immunization, Probabilistic approach, Theoretical study
Notice produite par :
Inist-CNRS - Institut de l'Information Scientifique et Technique
Cote : 97-0245820
Code Inist : 002B30A03A. Création : 11/06/1997.