Multi-patch multi-group epidemic model with varying infectivity
From MaRDI portal
Publication:2096194
DOI10.3934/puqr.2022019zbMath1505.92193arXiv2111.06231OpenAlexW3211461824MaRDI QIDQ2096194
Raphaël Forien, Etienne Pardoux, Guodong Pang
Publication date: 16 November 2022
Published in: Probability, Uncertainty and Quantitative Risk (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.06231
law of large numbersFeynman-Kac formulapropagation of chaosSIR modelstochastic epidemic modelvarying infectivitymulti-patch multi-groupPoisson-driven (McKean-Vlasov type) stochastic equations
Cites Work
- Unnamed Item
- Slow and fast scales for superprocess limits of age-structured populations
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Limit theorems for age-structured populations
- Age-of-infection and the final size relation
- Stability of the endemic equilibrium in epidemic models with subpopulations
- Ecole d'été de probabilités de Saint-Flour XIX, France, du 16 août au 2 septembre 1989
- Limit theorems for age and density dependent stochastic population models
- An epidemic equation with immigration
- A simple SIS epidemic model with a backward bifurcation
- Multi-patch and multi-group epidemic models: a new framework
- Mean-field limit of generalized Hawkes processes
- A structured epidemic model incorporating geographic mobility among regions
- An SIS epidemic model with variable population size and a delay
- Immunization levels for preventing epidemics in a community of households made up of individuals of various types
- The asymptotic evolution of the general stochastic epidemic
- Functional limit theorems for non-Markovian epidemic models
- Convergence of the age structure of general schemes of population processes
- Epidemiological models with non-exponentially distributed disease stages and applications to disease control
- Stochastic differential equations, backward SDEs, partial differential equations
- The age structure of population-dependent general branching processes in environments with a high carrying capacity
- Transmission dynamics for vector-borne diseases in a patchy environment
- Stochastic multi-type SIR epidemics among a population partitioned into households
- Volterra Integral Equations
- Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission
- Limiting behaviour in an epidemic model
- On a Nonlinear Integral Equation for Population Growth Problems
- Epidemic Models with Varying Infectivity
- A mathematical model reveals the influence of population heterogeneity on herd immunity to SARS-CoV-2
- Chapter 1 Stochastic Epidemic Models
- Large population limit and time behaviour of a stochastic particle model describing an age-structured population
- Mathematical Models in Epidemiology
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
- The Law of Large Numbers for $D[0,1$-Valued Random Variables]
This page was built for publication: Multi-patch multi-group epidemic model with varying infectivity