A kinetic model for epidemic spread
Mario Pulvirenti, Sergio Simonella
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.
Topics & Concepts
Mixing (physics)Boltzmann equationEpidemic modelStatistical physicsKinetic energyBoltzmann constantPopulationSpace (punctuation)Applied mathematicsPhysicsComputer scienceClassical mechanicsMathematicsDemographyThermodynamicsSociologyQuantum mechanicsOperating systemCOVID-19 epidemiological studiesOpinion Dynamics and Social InfluenceInfection Control and Ventilation