Health Professionals and the Dynamics of COVID-19 in Manaus during the First Wave

R. C. Bassanezi, L. T. Takahashi, A. L. O. Soares, M. H. R. Luiz, S. D. De Souza, D. F. Gomes


A model is made for the dynamics of the transmission of the new SARS-CoV-2 coronavirus, which caused the COVID-19 pandemic. This model is based on the Susceptible--Infectious--Recovered model with heterogeneity in the susceptible population and in the infectious population. The susceptible population is divided into two subpopulations: individuals who are health professionals and individuals who are not. The infectious population is also divided into two subpopulations: individuals who are hospitalized and individuals who are not. A qualitative analysis of the theoretical model is performed, as well as simulations with official data regarding COVID-19 in the city of Manaus, Amazonas, Brazil, which corroborate the profile of the solution curves defined by the model.


Population heterogeneity; Lyapunov function; Basic reproduction number

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)


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