A diffusive SEIR model for community transmission of Covid-19 epidemics: application to Brazil

Abstract

A mathematical model incorporating diffusion is developed to describe the spatial spread of COVID-19 epidemics in geographical regions. The dynamics of the spatial spread are based on community transmission of the virus. The model is applied to the outbreak of the COVID-19 epidemic in Brazil.

Keywords

• reaction-diffusion equation,
• epidemic models,
• spatial transmisison,
• covid-19.