Covid-19 compartmental model: detection test application coverage and response speed
Abstract
We introduce a compartmental epidemiological model for the transmision of Covid-19 virus, which we call SEIART, including testing for symptomatic and asymptomatic people. This model is a generalization of classical models SIR, SEIR and SEIAR, and takes into account tested and nontested symptomatic infected people as well as asymptomatic tested and nontested people. We compute the basic reproductive number of the system and show it decreases as the testing rate and the application/detection rate increases for symptomatic and asymptomatic infected people. We present simulations to show that an increase in testing and greater effectiveness in application / detection tests cause a reduction in the infected population and in mortality.
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