Optimal vaccination policy to prevent endemicity: a stochastic model
From MaRDI portal
Publication:6659465
DOI10.1007/s00285-024-02171-zMaRDI QIDQ6659465
Félix Foutel-Rodier, Hélène Guérin, Arthur Charpentier
Publication date: 9 January 2025
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
mitigationage-structured modelwaning immunityendemicitynon-Markovian modelheterogeneous vaccinationrecurrent vaccinationvarying infectiousness and susceptibility
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Functional limit theorems; invariance principles (60F17)
Cites Work
- The final size of an epidemic and its relation to the basic reproduction number
- Approximating the epidemic curve
- On a toy model of interacting neurons
- Contributions to the mathematical theory of epidemies. II: The problem of endemicity.
- An in-host model of acute infection: measles as a case study
- Analysis of an SEIRS epidemic model with two delays
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- An SIR epidemic model with partial temporary immunity modeled with delay
- Stochastic orders
- Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting
- Limit theorems for age-structured populations
- Epidemic models with heterogeneous mixing and treatment
- On vaccine efficacy and reproduction numbers
- A contribution to the mathematical theory of epidemics.
- Waning and boosting: on the dynamics of immune status
- The impact of vaccine side effects on the natural history of immunization programmes: an imitation-game approach
- Vaccine impact in homogeneous and age-structured models
- Mean-field limit of generalized Hawkes processes
- A microscopic probabilistic description of a locally regulated population and macroscopic approximations
- SIR-SVS epidemic models with continuous and impulsive vaccination strategies
- SVIR epidemic models with vaccination strategies
- An evolutionary epidemiological mechanism, with applications to type A influenza
- A time since recovery model with varying rates of loss of immunity
- Spatio-temporal games of voluntary vaccination in the absence of the infection: the interplay of local versus non-local information about vaccine adverse events
- An infinite-dimensional metapopulation SIS model
- From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics
- Propagation of chaos: a review of models, methods and applications. I: Models and methods
- Propagation of chaos: a review of models, methods and applications. II: Applications
- The Kermack--McKendrick epidemic model revisited
- Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity
- Quantitative speeds of convergence for exposure to food contaminants
- Final Size of an Epidemic for a Two-Group SIR Model
- Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases
- Directly Transmitted Infections Diseases: Control by Vaccination
- Epidemic models with heterogeneous mixing and indirect transmission
- On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
- Nonlinear Oscillations in Epidemic Models
- Limiting behaviour in an epidemic model
- How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
- Epidemic Models with Varying Infectivity
- A mathematical model reveals the influence of population heterogeneity on herd immunity to SARS-CoV-2
- Mathematical Models in Epidemiology
- A stochastic SIR model with contact-tracing: large population limits and statistical inference
- Age-Structured Population Dynamics in Demography and Epidemiology
- AN EPIDEMIC MODEL STRUCTURED BY HOST IMMUNITY
- Kermack and McKendrick revisited: The variable subsceptibility model for infectious deseases
- General epidemiological models: law of large numbers and contact tracing
- SIRS epidemics with individual heterogeneity of immunity waning
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Optimal vaccination policy to prevent endemicity: a stochastic model