Equilibrium in an individual - societal SIR vaccination model in presence of discounting and finite vaccination capacity - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2016

Equilibrium in an individual - societal SIR vaccination model in presence of discounting and finite vaccination capacity

Résumé

This paper analyzes individual optimal vaccination strategies for a Susceptible-Infected-Recovered (SIR) model. The individuals vaccinate according to a criterion taking into account the risk of infection, the possible side effects of the vaccine and the overall epidemic course. We treat the situation when the vaccination capacity is limited and the individual discounts the future at some rate D > 0. Since the course of the epidemic is determined by the sum of individual decisions a natural question is whether an equilibrium between the individual decisions and the epidemic evolution exists. We show that the answer is positive.
Fichier principal
Vignette du fichier
Laguzet_Turinici_Yahiaoui16_v2.pdf (565.5 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01222450 , version 1 (30-10-2015)
hal-01222450 , version 2 (04-11-2016)

Identifiants

Citer

Laetitia Laguzet, Gabriel Turinici, Ghozlane Yahiaoui. Equilibrium in an individual - societal SIR vaccination model in presence of discounting and finite vaccination capacity. Viorel Barbu, Cătălin Lefter, Ioan I. Vrabie. New Trends in Differential Equations, Control Theory and Optimization, World Scientific Publishing Co, pp.201 - 214, 2016, 978-9813142855. ⟨10.1142/9789813142862_0015⟩. ⟨hal-01222450v2⟩
610 Consultations
430 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More