• français
    • English
  • English 
    • français
    • English
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
BIRD Home

Browse

This CollectionBy Issue DateAuthorsTitlesSubjectsJournals BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesSubjectsJournals

My Account

Login

Statistics

View Usage Statistics

Nash-MFG equilibrium in a SIR model with time dependent newborn vaccination

Thumbnail
Date
2018
Link to item file
https://hal.archives-ouvertes.fr/hal-01389584
Dewey
Sciences connexes
Sujet
Nash equilibrium; SIR model; vaccination eficacy; individual vaccination; vaccination games; vaccination; Mean Field Games
Journal issue
Ricerche di Matematica
Volume
67
Number
1
Publication date
2018
Article pages
227-246
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s11587-018-0365-0
URI
https://basepub.dauphine.fr/handle/123456789/16865
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Hubert, Emma
Turinici, Gabriel
Type
Article accepté pour publication ou publié
Abstract (EN)
We study the newborn, non compulsory, vaccination in a SIR model with vital dynamics. The evolution of each individual is modeled as a Markov chain.His/Her vaccination decision optimizes a criterion depending on the time-dependent aggregate (societal) vaccination rate and the future epidemic dynamics. We prove the existence of a Nash - Mean Field Games equilibrium among all individuals in the population. Then we propose a novel numerical approach to find the equilibrium and test it numerically.

Related items

Showing items related by title, author, creator and subject.

  • Optimal individual strategies for influenza vaccines with imperfect efficacy and durability of protection 

    Salvarani, Francesco; Turinici, Gabriel (2018) Article accepté pour publication ou publié
  • Impact of the introduction of new vaccines and vaccine wastage rate on the cost-effectiveness of routine EPI: lessons from a descriptive study in a Cameroonian health district 

    Ebong, Cliford E.; Lévy, Pierre (2011) Article accepté pour publication ou publié
  • Modélisation mathématique et numérique des comportements sociaux en milieu incertain. Application à l'épidémiologie 

    Laguzet, Laetitia (2015-11) Thèse

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Content on this site is licensed under a Creative Commons 2.0 France (CC BY-NC-ND 2.0) license.