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Published on: January 12, 2017
Social vs. individual age-dependent costs of imperfect vaccination
Fabio A C C Chalub1, Paulo Doutor1, Paula Patrício1
1Center for Mathematics and Applications (NOVA Math) and Department of Mathematics, NOVA FCT, Caparica, 2829-516, Portugal.
Abstract:
In diseases with long-term immunity, vaccination is known to increase the average age at infection as a result of the decrease in the pathogen circulation. This implies that a vaccination campaign can have negative effects when a disease is more costly (financial or health-related costs) for higher ages. This work considers an age-structured population transmission model with imperfect vaccination. We aim to compare the social and individual costs of vaccination, assuming that disease costs are age-dependent, while the disease's dynamic is age-independent. A model for pathogen deterministic dynamics in a population consisting of juveniles and adults, assumed to be rational agents, is introduced. The parameter region for which vaccination has a positive social impact is fully characterized and the Nash equilibrium of the vaccination game is obtained. Finally, collective strategies designed to promote voluntary vaccination, without compromising social welfare, are discussed.
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