{"title":"A kinetic model for epidemic spread","authors":"M. Pulvirenti, S. Simonella","doi":"10.2140/memocs.2020.8.249","DOIUrl":null,"url":null,"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.","PeriodicalId":8473,"journal":{"name":"arXiv: Statistical Mechanics","volume":"94 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Statistical Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/memocs.2020.8.249","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
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.
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