A kinetic model for epidemic spread
Statistical Mechanics
2020-05-21 v1 Analysis of PDEs
Probability
Abstract
We present a Boltzmann equation for mixtures of three species of particles reducing to the Kermack-McKendrick (SIR) equations for the time-evolution of the density of infected agents in an isolated population. The kinetic model is potentially more detailed and might provide information on space mixing of the agents.
Cite
@article{arxiv.2005.09967,
title = {A kinetic model for epidemic spread},
author = {Mario Pulvirenti and Sergio Simonella},
journal= {arXiv preprint arXiv:2005.09967},
year = {2020}
}