On the well-posedness of a nonlinear diffusive SIR epidemic model

C. Holliman; H. Prieto

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arXiv · 2109.09039

On the well-posedness of a nonlinear diffusive SIR epidemic model

C. Holliman·H. Prieto

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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 $0 \le s <2$.

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C. Holliman, H. Prieto. 2021-09-19. On the well-posedness of a nonlinear diffusive SIR epidemic model. https://arxiv.org/abs/2109.09039

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