Infection spread among individuals is modelled with a continuous time Markov chain, in which subject interactions depend on their distance in space. The well known SIR model and non local variants of the latter are then obtained as large scale limits of the individual based model in two different scaling regimes of the interaction.Comment: 22 page
In this work we propose a measure-valued stochastic process representing the dynamics of a virus pop...
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly ...
In this survey paper, we review the recent advances in individual based non--Markovian epidemic mode...
In this survey paper, we review the recent advances in individual based non--Markovian epidemic mode...
Mathematical models are formal and simplified representations of the knowledge related to a phenomen...
We continue here the work initiated in [13], and analyse an SIR epidemic model for the spread of an ...
The size and shape of the region affected by an outbreak is relevant to understand the dynamics of a...
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly ...
A Markovian SIR (Susceptible – Infectious - Recovered) model is considered for the spread of an epid...
Mathematical models of infectious diseases exhibit robust dynamics such as stable endemic or a disea...
In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR m...
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly ...
By generating transient encounters between individuals beyond their immediate social environment, tr...
The recent COVID-19 pandemic has shown that when the reproduction number is high and there are no pr...
In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR m...
In this work we propose a measure-valued stochastic process representing the dynamics of a virus pop...
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly ...
In this survey paper, we review the recent advances in individual based non--Markovian epidemic mode...
In this survey paper, we review the recent advances in individual based non--Markovian epidemic mode...
Mathematical models are formal and simplified representations of the knowledge related to a phenomen...
We continue here the work initiated in [13], and analyse an SIR epidemic model for the spread of an ...
The size and shape of the region affected by an outbreak is relevant to understand the dynamics of a...
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly ...
A Markovian SIR (Susceptible – Infectious - Recovered) model is considered for the spread of an epid...
Mathematical models of infectious diseases exhibit robust dynamics such as stable endemic or a disea...
In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR m...
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly ...
By generating transient encounters between individuals beyond their immediate social environment, tr...
The recent COVID-19 pandemic has shown that when the reproduction number is high and there are no pr...
In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR m...
In this work we propose a measure-valued stochastic process representing the dynamics of a virus pop...
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly ...
In this survey paper, we review the recent advances in individual based non--Markovian epidemic mode...