A SIR-type model with diffusion to describe the spatial spread of Covid-19

Speaker: Youcef Mammeri (Université de Picardie Jules Verne).

We all have to deal with the coronavirus epidemic. Many strategies have been put in place to try to contain the disease, with varying success. I will present an SIR-type mathematical model to predict the state of the epidemic. The effect of distancing, isolation of exposed individuals and treatment of symptoms will be compared. I will begin with a simple explanation of SIR models, then discuss a PDE model and its resolution.