4 papers
A SIR epidemic model on a refining spatial grid II-Central limit theorem
Thierry Gallouët, Etienne Pardoux, Ténan Yeo
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…
Epidemic models with varying infectivity on a refining spatial grid. I. The SI model
Anicet Mougabe-Peurkor, Étienne Pardoux, Ténan Yeo
We consider a space-time SI epidemic model with infection age-dependent infectivity and non-local infections constructed on a grid of the torus , where the…
Unified modelling of epidemics by coupled dynamics via Monte-Carlo Markov Chain algorithms
Frédéric Protin, Martel Jules, Duc Thang Nguyen +9
To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of…
Stochastic and deterministic SIS patch model
T. Yeo
Here, we consider an SIS epidemic model where the individuals are distributed on several distinct patches. We construct a stochastic model and then prove that it converges to a det…