Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Pardoux, Étienne"'
A stochastic SIR epidemic model taking into account the heterogeneity of the spatial environment is constructed. The deterministic model is given by a partial differential equation and the stochastic one by a space-time jump Markov process. The consi
Externí odkaz:
http://arxiv.org/abs/2412.06480
Autor:
Kanga, Armand, Pardoux, Etienne
In this work, we use a new approach to study the spread of an infectious disease. Indeed, we study a SIR epidemic model with variable infectivity, where the individuals are distributed over a compact subset $D$ of $\R^d$. We define empirical measures
Externí odkaz:
http://arxiv.org/abs/2412.01673
Autor:
Crisan, Dan, Pardoux, Etienne
Nonlinear filtering is a pivotal problem that has attracted significant attention from mathematicians, statisticians, engineers, and various other scientific disciplines. The solution to this problem is governed by the so-called filtering equations.
Externí odkaz:
http://arxiv.org/abs/2411.11125
Autor:
Pang, Guodong, Pardoux, Etienne
We study the stochastic SIR epidemic model with infection-age dependent infectivity for which a measure-valued process is used to describe the ages of infection for each individual. We establish a functional law large numbers (FLLN) and a functional
Externí odkaz:
http://arxiv.org/abs/2410.17200
We consider a space-time SI epidemic model with infection age-dependent infectivity and non-local infections constructed on a grid of the torus $\mathbb{T}^1 =(0, 1]^d$, where the individuals may migrate from node to another. The migration processes
Externí odkaz:
http://arxiv.org/abs/2306.02341
Autor:
Pang, Guodong, Pardoux, Etienne
We study an individual-based stochastic spatial epidemic model where the number of locations and the number of individuals at each location both grow to infinity. Each individual is associated with a random infection-age dependent infectivity functio
Externí odkaz:
http://arxiv.org/abs/2304.05211
Autor:
Pang, Guodong, Pardoux, Etienne
We study a stochastic epidemic model with multiple patches (locations), where individuals in each patch are categorized into three compartments, Susceptible, Infected and Recovered/Removed, and may migrate from one patch to another in any of the comp
Externí odkaz:
http://arxiv.org/abs/2304.03080
This paper studies the distribution function of the time of extinction of a subcritical epidemic, when a large enough proportion of the population has been immunized and/or the infectivity of the infectious individuals has been reduced, so that the e
Externí odkaz:
http://arxiv.org/abs/2304.01379
In this article, we study an interacting particle system in the context of epidemiology where the individuals (particles) are characterized by their position and infection state. We begin with a description at the microscopic level where the displace
Externí odkaz:
http://arxiv.org/abs/2212.02149