Special Session 8: Propagation Phenomena in Reaction-Diffusion Systems

Propagation properties for SIR reaction-diffusion system

Romain Ducasse
Universite Paris Cite
France
Co-Author(s):    
Abstract:
We present some results concerning the propagation phenomenon that appears in SIR models. These models are reaction-diffusion systems that describes the spread of a disease in a population. We shall consider in particular a multi-species model, describing the interaction between the propagation of different strains of a disease. Our model is a natural generalisation of the classical Kermack-McKendrick model. We shall study the long-time behavior of solutions, and prove that the model exhibits a "selection via propagation" phenomenon.