On the well-posedness of a nonlinear diffusive SIR epidemic model
Analysis of PDEs
2021-09-21 v1
Abstract
This work considers an extension of the SIR equations from epidemiology that includes a spatial variable. This model, referred to as the Kermack-McKendrick equations (KM), is a pair of diffusive partial differential equations, and methods developed for the Navier-Stokes equations and models of fluid dynamics are adapted to prove that KM is well-posed in the homogenous Sobolev spaces with exponent .
Keywords
Cite
@article{arxiv.2109.09039,
title = {On the well-posedness of a nonlinear diffusive SIR epidemic model},
author = {C. Holliman and H. Prieto},
journal= {arXiv preprint arXiv:2109.09039},
year = {2021}
}