Analysis of the transmission dynamics of COVID-19 in Minas Gerais: Modeling and Simulation

Authors

DOI:

https://doi.org/10.33448/rsd-v9i8.6611

Keywords:

COVID-19; Epidemiological model; Pandemic.

Abstract

Understanding the spread and prevention of the new coronavirus (SARS-CoV-2) has become a challenge for infectologists, researchers and managers. This study aims to simulate and analyze the SEIR (Susceptible-Exposed-Infected-Recovered) mathematical model for COVID-19 transmission dynamics in Minas Gerais - Brazil. Additionally, the transmission was projected for 30 days, as well as the impact of different rates of social isolation on the flattening of the epidemiological curve. Scilab® software was used to implement a SEIR mathematical model. The parameters were adequate based on the real data provided by the State Health Secretariat (SES). The results showed that the model adequately represented confirmed cases (R2=0.994) and deaths (R2=0.991). The model  projection indicates that the peak of the disease in the state of Minas Gerais will occur around 08/20/2020. The scenario without social isolation estimates 10,060 deaths until 12/04/2020. The model projects a reduction of 987 victims with 50% isolation (9,073 deaths); 1,991 victims with 70% isolation (8,069 deaths) and 6,770 victims with lockdown (3,290 deaths). It can be said that the isolation measures are effective in flattening the COVID-19 contamination curve. Mathematical models can contribute to the choice of intervention strategies and reveal important aspects about disease spreads.

Author Biography

Anamaria de Oliveira Cardoso, Federal University of Vales do Jequitinhonha e Mucuri


References

Abou-Ismail, A. (2020). Compartmental Models of the COVID-19 Pandemic forPhysicians and Physician-Scientists. SN Comprehensive Clinical Medicine. https://doi.org/10.1007/s42399-020-00330-z

Almeida, I. M. (2020). Proteção da saúde dos trabalhadores da saúde em tempos de COVID-19 e respostas à pandemia. Revista Brasileira de Saúde Ocupacional, 45, e17. https://doi.org/10.1590/scielopreprints.140

Alves, C. R. L., Alvim, C. G., Machado, E., Giatti, L., Barreto, S. M., & Tupinambás, U. (2020). Por que ainda não é o momento para flexibilizar o isolamento social em Minas Gerais? Nove argumentos com embasamento científico. Universidade Federal de Minas Gerais. https://www.sinter-mg.org.br/wp-content/uploads/

Aquino, E. M. L., Silveira, I. H., Pescarini, J. M., Aquino, R., & Souza-Filho, J. A. (2020). Medidas de distanciamento social no controle da pandemia de COVID-19: potenciais impactos e desafios no Brasil. Ciência & Saúde Coletiva, 25(supl 1), 2423–2446. https://doi.org/10.1590/1413-81232020256.1.10502020

Barbosa, R. S., Soares, A. S. S., Coelho, D. A., & Santos, D. A. (2016). Software de simulações dos modelos Sir e Seir como ferramenta de gerenciamento ambiental de doenças epidemiológicas. Scientia Cum Industria, 4(2), 114–118. https://doi.org/10.18226/23185279.v4iss2p114

COES. (2020). Boletim epidemiológico. Centro de operações de emergência em Saúde Pública. http://coronavirus.saude.mg.gov.br/boletim

Duczmal, L. H., Almeida, A. C. L., Duczmal, D. B., Alves, C. R. L., Magalhães, F. C. O., Lima, M. S., Silva, I. R., & Takahashi, R. H. C. (2020). Vertical social distancing policy is ineffective to contain the COVID-19 pandemic. Cadernos de Saúde Pública, 36(5), e00084420. https://doi.org/10.1590/0102-311x00084420

Eikenberry, S. E., Mancuso, M., Iboi, E., Phan, T., Eikenberry, K., Kuang, Y., Kostelich, E., & Gumel, A. B. (2020). To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic. Infectious Disease Modelling, 5, 293–308. https://doi.org/10.1016/j.idm.2020.04.001

Goyal, A., Liao, L. E., & Perelson, A. S. (2019). Within-host mathematical models of hepatitis B virus infection: Past, present, and future. Current Opinion in Systems Biology, 18, 27–35. https://doi.org/10.1016/j.coisb.2019.10.003

Ibarra-Vega, D. (2020). Lockdown, one, two, none, or smart. Modeling containing covid-19 infection. A conceptual model. Science of The Total Environment, 730, 138917. https://doi.org/10.1016/j.scitotenv.2020.138917

IBGE. (2019). População estimada. Diretoria de Pesquisas, Coordenação de População e Indicadores Sociais.

IBGE. (2020). Área da unidade territorial: Área territorial brasileira. https://www.ibge.gov.br/cidades-e-estados/mg.html

Kim, S., Lee, J., & Jung, E. (2017). Mathematical model of transmission dynamics and optimal control strategies for 2009 A/H1N1 influenza in the Republic of Korea. Journal of Theoretical Biology, 412, 74–85. https://doi.org/10.1016/j.jtbi.2016.09.025

Lalwani, S., Sahni, G., Mewara, B., & Kumar, R. (2020). Predicting optimal lockdown period with parametric approach using three-phase maturation SIRD model for COVID-19 pandemic. Chaos, Solitons & Fractals, 138, 109939. https://doi.org/10.1016/j.chaos.2020.109939

Ndaïrou, F., Area, I., Nieto, J. J., & Torres, D. F. M. (2020). Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Chaos, Solitons & Fractals, 135, 109846. https://doi.org/10.1016/j.chaos.2020.109846

Nussbaumer-Streit, B., Mayr, V., Dobrescu, A. I., Chapman, A., Persad, E., Klerings, I., Wagner, G., Siebert, U., Christof, C., Zachariah, C., & Gartlehner, G. (2020). Quarantine alone or in combination with other public health measures to control COVID-19: a rapid review. Cochrane Database of Systematic Reviews. https://doi.org/10.1002/14651858.CD013574

SES. (2020). Painel de Monitoramento dos Casos. http://coronavirus.saude.mg.gov.br/painel

Yang, H. M., & Ferreira, C. P. (2008). Assessing the effects of vector control on dengue transmission. Applied Mathematics and Computation, 198(1), 401–413. https://doi.org/10.1016/j.amc.2007.08.046

Zhu, W., Li, X., Wu, Y., Xu, C., Li, L., Yang, J., & Fang, S. (2020). Community quarantine strategy against coronavirus disease 2019 in Anhui: An evaluation based on trauma center patients. International Journal of Infectious Diseases, 96, 417–421. https://doi.org/10.1016/j.ijid.2020.04.016

Published

21/07/2020

How to Cite

SOUSA, N. G.; CARDOSO, A. de O.; CARDOSO, R. F.; UTSUMI, A. G. Analysis of the transmission dynamics of COVID-19 in Minas Gerais: Modeling and Simulation. Research, Society and Development, [S. l.], v. 9, n. 8, p. e812986611, 2020. DOI: 10.33448/rsd-v9i8.6611. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/6611. Acesso em: 22 nov. 2024.

Issue

Section

Engineerings