scientific article; zbMATH DE number 7709547

zbMath1519.92252arXiv2106.08466MaRDI QIDQ6168061

Raphaël Forien, Guodong Pang, Etienne Pardoux

Publication date: 10 July 2023

Full work available at URL: https://arxiv.org/abs/2106.08466

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

integral equations partial differential equations varying infectivity non-Markov epidemic models varying susceptiblity/immunity

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) Research exposition (monographs, survey articles) pertaining to biology (92-02) Random integral equations (45R05)

Cites Work

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On the dynamics of a class of multi-group models for vector-borne diseases
SIS epidemic propagation on hypergraphs
Large graph limit for an SIR process in random network with heterogeneous connectivity
React or wait: which optimal culling strategy to control infectious diseases in wildlife
Near-critical SIR epidemic on a random graph with given degrees
Slow and fast scales for superprocess limits of age-structured populations
Optimal control of epidemics with limited resources
A SIRS epidemic model with infection-age dependence
Limit theorems for age-structured populations
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
An age dependent epidemic model
Optimal isolation policies for deterministic and stochastic epidemics
Limit theorems for age and density dependent stochastic population models
An epidemic equation with immigration
A central limit theorem for age- and density-dependent population processes
Optimal immunization rules for an epidemic with recovery
Limit theorems for a random graph epidemic model
A simple SIS epidemic model with a backward bifurcation
Multi-patch and multi-group epidemic models: a new framework
Final size of a multi-group SIR epidemic model: irreducible and non-irreducible modes of transmission
A mathematical model for Chagas disease with infection-age-dependent infectivity
Diffusion approximation for an age-structured population
An SIS epidemic model with variable population size and a delay
The asymptotic evolution of the general stochastic epidemic
A SIR model on a refining spatial grid. I: Law of large numbers
Finite state graphon games with applications to epidemics
Dynamic games of social distancing during an epidemic: analysis of asymmetric solutions
Local-density dependent Markov processes on graphons with epidemiological applications
Incentives, lockdown, and testing: from Thucydides' analysis to the COVID-19 pandemic
Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations
Functional limit theorems for non-Markovian epidemic models
Moderate deviations and extinction of an epidemic
Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area
Optimal control of epidemic size and duration with limited resources
SIR epidemics and vaccination on random graphs with clustering
Epidemiological models with non-exponentially distributed disease stages and applications to disease control
SIR epidemic models with general infectious period distribution
Epidemics on random intersection graphs
Network epidemic models with two levels of mixing
A general age-dependent branching process. I
A general-age-dependent branching process. II
Probabilistic Models of Population Evolution
Final Size of an Epidemic for a Two-Group SIR Model
Two-Group Infection Age Model Including an Application to Nosocomial Infection
Volterra Integral Equations
On SIR epidemic models with generally distributed infectious periods: Number of secondary cases and probability of infection
On the asymptotic distribution of the size of a stochastic epidemic
Critical epidemics, random graphs, and Brownian motion with a parabolic drift
Random Perturbations of Dynamical Systems
Asymptotic Behavior of Some Deterministic Epidemic Models
Lyapunov functional and global asymptotic stability for an infection-age model
A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models
Central limit theorems for local martingales
The duration of the closed stochastic epidemic
On the optimal control of a deterministic epidemic
Gaussian approximation of some closed stochastic epidemic models
Limiting behaviour in an epidemic model
How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
The final size and severity of a generalised stochastic multitype epidemic model
On a Nonlinear Integral Equation for Population Growth Problems
Epidemics
Large deviation principle for epidemic models
Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
On a functional central limit theorem for Markov population processes
Optimal immunisation policies for epidemics
Epidemic Models with Varying Infectivity
Contact rate epidemic control of COVID-19: an equilibrium view
A mathematical model reveals the influence of population heterogeneity on herd immunity to SARS-CoV-2
Optimal Incentives to Mitigate Epidemics: A Stackelberg Mean Field Game Approach
Chapter 1 Stochastic Epidemic Models
Chapter 1 Single Population Epidemics
Chapter 3 SIR Epidemics on Configuration Model Graphs
Large Deviations for Infectious Diseases Models
Mathematical Models in Epidemiology
Large deviation principle for reflected Poisson driven stochastic differential equations in epidemic models
An Introduction to Mathematical Epidemiology
Law of large numbers for the SIR epidemic on a random graph with given degrees
A stochastic SIR model with contact-tracing: large population limits and statistical inference
Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
Solutions of ordinary differential equations as limits of pure jump markov processes
An optimal isolation policy for an epidemic
The Law of Large Numbers for $D[0,1$-Valued Random Variables]
Kermack and McKendrick revisited: The variable subsceptibility model for infectious deseases

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