SIR model applied in dynamics of COVID-19 contagion in São Luís-MA, Brazil

References

• 1. Forattini O. P. , Basic Concepts in Molecular Epidemiology (in Portuguese), Vol. 64, EdUSP, São Paulo, 2005. Google Scholar
• 2. Yang H. M. , Mathematical Epidemiology: Studies of the Effects of Vaccination on Direct Transmission Diseases (in Portuguese) [S.l.]: EDUNICAMP e FAPESP, São Paulo, 2001. Google Scholar
• 3. Kermack W. O., McKendrick A. G. , Contributions to the mathematical theory of epidemics - I, Proc. Roy. Soc. Ser. A 115 :700–721, 1927. Crossref, Google Scholar
• 4. Anderson R. M., eMay R. M. , Infectious Diseases of Humans: Dynamics and Control, Oxford University Press, Oxford, 1992. Google Scholar
• 5. Chávez C. C., Brauer C. F. , Mathematical Models in Population Biology and Epidemiology, Springer-Verlag, New York, 2001. Google Scholar
• 6. Chowell G., Nishiura H. , Quantifying the transmission potential of pandemic influenza, Phys. Life Rev. 5(1) :50–77, 2008. Crossref, Web of Science, Google Scholar
• 7. Chen J., Fu M. C. , Predictive modeling for epidemic outbreaks: A new approach and COVID-19 case study, Asia-Pacific J. Op. Res. 37(3) :2050028, 2020, 21 pages. Web of Science, Google Scholar
• 8. Ndacherenga J. D., Mathematical models in the study of malaria (in Portuguese), Master Tesis, Faculdade De Ciências Universidade do Porto, 2019. Google Scholar
• 9. Dietz K. , The estimation of the basic reproduction number for infectious diseases, Statistic. Methods Med. Res. 2 :23–41, 1994. Crossref, Google Scholar
• 10. Diekmann O., Heesterbeek J. A. P. , Mathematical Epidemiology of Infectious Diseases, Chichester, Wiley, 2019. Google Scholar
• 11. Heesterbeek J. A. P. , A brief history of $R_0$ and a recipe for its calculation, Acta Biotheoretica 50 :189–204, 2004. Crossref, Web of Science, Google Scholar
• 12. Roberts M. G. , The pluses and minuses of $R_0$, J. Roy. Soc. Interface 4 :949–961, 2007. Crossref, Web of Science, Google Scholar
• 13. Brazilian Ministry of Health, Coronavirus (COVID-19), available online: https://coronavirus.saude.gov.br/sobre-a-doenca (accessed on 20 May 2020). Google Scholar
• 14. IBGE, available online: https://www.ibge.gov.br/cidades-e-estados/ma/sao-luis.html (accessed on 23 May 2020). Google Scholar
• 15. Maranhão State Health Department, available online: https://www.saude.ma.gov.br (accessed on 5 June 2020). Google Scholar
• 16. Lockdown, https://www.merriam-webster.com/dictionary/lockdown (accessed on 2 July 2020). Google Scholar
• 17. Omar A. A., Mohammed A.-S., Atangana B. , Fractional approach to the solutions of Bagley? Torvik and Painlev equations in Hilbert space, Chaos Solit. Fract. 117 :161–167, 2018. Crossref, Web of Science, Google Scholar
• 18. Omar A. A., Banan M. , Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator, Chaos Solit. Fract. 117 :117–124, 2018. Crossref, Web of Science, Google Scholar
• 19. Omar A. A., Banan M. , Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC-Fractional Volterra integro-differential equations, Chaos Solit. Fract. 126 :394–402, 2019. Crossref, Web of Science, Google Scholar
• 20. Omar A. A., Banan M. , Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense, Chaos Solit. Fract. 125 :163–170, 2019. Crossref, Web of Science, Google Scholar