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

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.

Keywords:
population heterogeneity; Lyapunov function; basic reproduction number

Authorship

R. C. BASSANEZI

Departamento de Matemática Aplicada, IMECC, Universidade Estadual de Campinas, R. Sérgio Buarque de Holanda, 651, 13083-859, Campinas, SP, Brazil - E-mail: rodney@ime.unicamp.brUniversidade Estadual de CampinasBrazilCampinas, SP, BrazilDepartamento de Matemática Aplicada, IMECC, Universidade Estadual de Campinas, R. Sérgio Buarque de Holanda, 651, 13083-859, Campinas, SP, Brazil - E-mail: rodney@ime.unicamp.br

https://orcid.org/0000-0002-5219-5319

L. T. TAKAHASHI

Departamento de Matemática, ICE, Universidade Federal de Juiz de Fora, R. José Lourenço Kelmer, s/n, 36036-900, Juiz de Fora, MG, Brazil - E-mail: ltiemi@gmail.comUniversidade Federal de Juiz de ForaBrazilJuiz de Fora, MG, BrazilDepartamento de Matemática, ICE, Universidade Federal de Juiz de Fora, R. José Lourenço Kelmer, s/n, 36036-900, Juiz de Fora, MG, Brazil - E-mail: ltiemi@gmail.com

https://orcid.org/0000-0002-8918-3899

A. L. O. SOARES

Departamento de Matemática, ICET, Universidade Federal de Mato Grosso, Av. Fernando Corrêa da Costa, 2367, 78060-900, Cuiabá, MT, Brazil - E-mail: ligiaoenning@hotmail.comUniversidade Federal de Mato GrossoBrazilCuiabá, MT, BrazilDepartamento de Matemática, ICET, Universidade Federal de Mato Grosso, Av. Fernando Corrêa da Costa, 2367, 78060-900, Cuiabá, MT, Brazil - E-mail: ligiaoenning@hotmail.com

https://orcid.org/0000-0002-6076-2037

M. H. R. LUIZ ^**Corresponding author: Monica Helena Ribeiro Luiz - E-mail: monicahrl@ifsp.edu.br

Departamento de Ciências e Matemática, Instituto Federal de São Paulo, R. Pedro Vicente, 625, 01109-010, São Paulo, SP, Brazil - E-mail: monicahrl@ifsp.edu.brInstituto Federal de São PauloBrazilSão Paulo, SP, BrazilDepartamento de Ciências e Matemática, Instituto Federal de São Paulo, R. Pedro Vicente, 625, 01109-010, São Paulo, SP, Brazil - E-mail: monicahrl@ifsp.edu.br

https://orcid.org/0000-0001-9189-7615

S. D. DE SOUZA

Departamento de Matemática, Universidade Federal do Amazonas, Av. General Rodrigo Octavio Jordão Ramos, 1200, 69067-005, Manaus, AM, Brazil - E-mail: silviasouza@ufam.edu.brUniversidade Federal do AmazonasBrazilManaus, AM, BrazilDepartamento de Matemática, Universidade Federal do Amazonas, Av. General Rodrigo Octavio Jordão Ramos, 1200, 69067-005, Manaus, AM, Brazil - E-mail: silviasouza@ufam.edu.br

https://orcid.org/0000-0002-6862-7307

D. F. GOMES

Departamento de Ensino, Instituto Federal do Maranhão, Rodovia BR-226, Km 303, s/n, 65950-000, Barra do Corda, MA, Brazil - E-mail: diego.gomes@ifma.edu.brInstituto Federal do MaranhãoBrazilBarra do Corda, MA, BrazilDepartamento de Ensino, Instituto Federal do Maranhão, Rodovia BR-226, Km 303, s/n, 65950-000, Barra do Corda, MA, Brazil - E-mail: diego.gomes@ifma.edu.br

https://orcid.org/0000-0002-7727-1090

*Corresponding author: Monica Helena Ribeiro Luiz - E-mail: monicahrl@ifsp.edu.br

SCIMAGO INSTITUTIONS RANKINGS

Figures | Tables | Formulas

Figures (7)
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Formulas (16)