Basic epidemiologic model SIR for COVID-19: case of Peruvian Regions
DOI:
https://doi.org/10.17268/sel.mat.2020.01.14Keywords:
SIR basic model, COVID-19, Epidemic, Peruvian regionsAbstract
In this work, a basic epidemiological model is used to determine the evolution of COVID-19 in each of the regions of Peru. For determining the parameters of the model which characterize a certain epidemic, the reports of infected, deceased and recovered people provided by the Regional Health Management of Peru are used. As a result, we obtained the configuration of the infected, susceptible and removed which are consistent with the existing bibliography, thus we also obtain a time interval in which there is a considerable number of infected, the maximum number of infected and the date on which it occurs.
References
Chapra S C, Canale R P. Métodos Numéricos para Ingenieros. México: Mc Graw Hill; 2003.
García A. Modelos de ecuaciones diferenciales para la propagación de enfermedades infecciosas. [Trabajo de graduación], Universidad de Cantabria. (2014). Disponible en https://repositorio.unican.es/xmlui/handle/10902/7125.
INEI. PERÚ , Estimaciones y proyecciones de población por departamento, provincia y Distrito, 2018-2020. Edit. Digital. 2020. Disponible en https://proyectos.inei.gob.pe/Est/Lib0846.
Isea R. On the mathematical interpretation of epidemics by Kermack and McKendrick. Gen. Math. Notes. 2013; 19 (2):83-87.
Jia W, Han K, Song Y, et al. Extended SIR prediction of the epidemics trend of COVID-19 in Italy and compared with Hunan, China. Front. Med. 2020;7(article 169):1-7. Disponible en DOI: https://doi.org/10.3389/fmed.2020.00169.
Kermack W O, McKendrick A G. A contribution to the mathematical theory of epidemics. Proc. R. Soc. Lond. 1927; 115:700-721. Disponible en https://royalsocietypublishing.org/doi/10.1098/rspa.1927.0118.
López R, Vidal M, ValdezW. Nociones básicas de modelamiento matemático aplicado a la epidemiología. Ministerio de Salud del Perú. Lima: 2015. Disponible en http://www.dge.gob.pe/portal/docs/tools/modelamiento1.pdf.
Manrique-Abril F G, Agudelo-Calderon C A, González-Chordá V M, Gutierrez-Lesmes O, Téllez-Piñerez, C F, Herrera-Amaya G. Modelo SIR de la pandemia de COVID-19 en Colombia. Rev. Salud Pública. 2020;22:1-9.
Ministerio de Salud, Alerta Epidemiológica Código: AE-015-2020. Disponible en https://www.gob.pe/ institucion/minsa/informes-publicaciones/473544-alerta-epidemiológica-n-15-coronavirus-covid-19.
Rodrigues H S. Aplication of SIR epidemiological model:new trends. International Journal of Applied Mathematics and Informatics. 2020;10:92-97. Disponible en http://www.naun.org/cms.action?id=12119.
Sanz I. Modelos epidemiológicos basados en ecuaciones diferenciales. [Trabajo de Graduación], Universidad de Rioja. (2016). Disponible en https://biblioteca.unirioja.es/tfe
Velavan T P, Meyer Ch G. The COVID-19 epidemic. Tropical Medicine and International Health. 2020; 25(3):278-280. Available at https://onlinelibrary.wiley.com/doi/10.1111/tmi.13383
Vergara-Moreno E, Rubio O, More-Ayala J. Modelo básico epidemiológico SIR de COVID-19 en Perú. Revista Salud Pública. 2020;22(3).
Published
How to Cite
Issue
Section
License
The authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License,Atribución 4.0 Internacional (CC BY 4.0) which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.