General epidemiological models: law of large numbers and contact tracing

DOI10.1214/23-ejp992zbMath1520.92061arXiv2106.13135MaRDI QIDQ6137378

Félix Foutel-Rodier, Jean-Jil Duchamps, Emmanuel Schertzer

Publication date: 1 September 2023

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13135

zbMATH Keywords

local weak convergenceKermack-McKendrick modelfunctional law of large numberscontact-tracingCrump-Mode-Jagers process with interactioninfection graphnon-Markovian epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Random graphs (graph-theoretic aspects) (05C80) Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generality of the final size formula for an epidemic of a newly invading infectious disease
• Approximating the epidemic curve
• Branching random walks. École d'Été de Probabilités de Saint-Flour XLII -- 2012
• Interacting Fleming-Viot processes
• Recurrence of distributional limits of finite planar graphs
• Population-size-dependent and age-dependent branching processes.
• From individual-based epidemic models to McKendrick-von Foerster PDEs: a guide to modeling and inferring COVID-19 dynamics
• Functional limit theorems for non-Markovian epidemic models
• Local weak convergence for PageRank
• Convergence of the age structure of general schemes of population processes
• The age structure of population-dependent general branching processes in environments with a high carrying capacity
• A final size relation for epidemic models
• The Kermack--McKendrick epidemic model revisited
• Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity
• On the emergence of random initial conditions in fluid limits
• Random Measures, Theory and Applications
• Population-size-dependent, age-structured branching processes linger around their carrying capacity
• Mathematical Models in Population Biology and Epidemiology
• The growth and composition of branching populations
• Limiting behaviour in an epidemic model
• The stable doubly infinite pedigree process of supercritical branching populations
• Epidemic Models with Varying Infectivity
• Large population limit and time behaviour of a stochastic particle model describing an age-structured population
• Stochastic Epidemic Models with Inference
• Persistence of small noise and random initial conditions
• Age-Structured Population Dynamics in Demography and Epidemiology
• Multi-patch epidemic models with general exposed and infectious periods