Individual vaccination as Nash equilibrium in a SIR model with application to the 2009--2010 influenza A (H1N1) epidemic in France
From MaRDI portal
Publication:904525
DOI10.1007/s11538-015-0111-7zbMath1345.92146OpenAlexW1892605293WikidataQ40459298 ScholiaQ40459298MaRDI QIDQ904525
Laetitia Laguzet, Gabriel Turinici
Publication date: 13 January 2016
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-015-0111-7
Epidemiology (92D30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic games, stochastic differential games (91A15)
Related Items
Finite state graphon games with applications to epidemics, A MEAN FIELD GAME ANALYSIS OF SIR DYNAMICS WITH VACCINATION, Optimal vaccination strategies and rational behaviour in seasonal epidemics, Mean field control problems for vaccine distribution, 28 models later: model competition and the zombie apocalypse, Metric gradient flows with state dependent functionals: the Nash-MFG equilibrium flows and their numerical schemes, Vaccination strategies of an SIR pair approximation model with demographics on complex networks, Optimal individual strategies for influenza vaccines with imperfect efficacy and durability of protection, Optimal time-profiles of public health intervention to shape voluntary vaccination for childhood diseases, Continuous-time mean field games with finite state space and common noise, Canonical modeling of anticipatory vaccination behavior and long term epidemic recurrence, Nash-MFG equilibrium in a SIR model with time dependent newborn vaccination, High order variational numerical schemes with application to Nash-MFG vaccination games, Linear quadratic mean field games: decentralized \(O(1/N)\)-Nash equilibria, Robust linear quadratic mean field social control: A direct approach, Contact rate epidemic control of COVID-19: an equilibrium view, Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuous time finite state mean field games
- Global optimal vaccination in the SIR model: properties of the value function and application to cost-effectiveness analysis
- A general approach for population games with application to vaccination
- On systems of ordinary differential equations with measures as controls
- Mean field games. I: The stationary case
- Evolving public perceptions and stability in vaccine uptake
- Mean field games. II: Finite horizon and optimal control
- Existence and uniqueness result for mean field games with congestion effect on graphs
- Optimal tax/subsidy combinations for the flu season
- Global stability of an SIR epidemic model with information dependent vaccination
- Modeling the effect of information quality on risk behavior change and the transmission of infectious diseases
- Impulsive control systems with commutative vector fields
- Vaccinating behaviour, information, and the dynamics of SIR vaccine preventable diseases
- Dynamics of vaccination strategies via projected dynamical systems
- A susceptible-infected epidemic model with voluntary vaccinations
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Dynamic equilibria of group vaccination strategies in a heterogeneous population
- Optimal vaccination schedules in a deterministic model
- Fatal SIR diseases and rational exemption to vaccination
- On the optimal control of a deterministic epidemic
- Optimal Control of Some Simple Deterministic Epidemic Models
- Necessary Conditions for Optimal Impulsive Control Problems
- Optimal immunisation policies for epidemics
- The Generalized Solutions of Nonlinear Optimization Problems with Impulse Control
- Nash Equilibria for Large-Population Linear Stochastic Systems of Weakly Coupled Agents
- Virtual surveillance of communicable diseases: a 20-year experience in France
- Group interest versus self-interest in smallpox vaccination policy
- Vaccination and the theory of games
- Solutions of ordinary differential equations as limits of pure jump markov processes
