Application of the SIR model in the study of dengue transmission in the municipality of Gurupi, Tocantins

Authors

  • Laina Pires Rosa Universidade Federal do Tocantins
  • Pedro Alexandre da Cruz Universidade Federal do Tocantins

DOI:

https://doi.org/10.20873/jbb.uft.cemaf.v7n1.rosa

Keywords:

biomathematics, numerical methods, mathematical modeling, epidemiology, differential equations

Abstract

Dengue, an acute febrile infectious disease that can kill, has become one of the biggest public health problems in Brazil. Because it does not yet have an effective vaccine, its epidemiological profile multiplies throughout the national territory, especially in the summer, where the Aedes aegypti mosquito vector of transmission of the disease finds environmental conditions favorable to its high reproduction. The objective of this study is to discuss and apply the SIR model (susceptible, infected and recovered) in the description of dengue transmission in the municipality of Gurupi-TO. Carrying out simulations in order to validate the model comparing with the actual data of dengue cases in the municipality, besides presenting changes made in some parameters whose there are no records. Numerical simulations were carried out using a Runge-Kutta method of 4th order implemented in C language, using some parameters of the literature, others were adjusted for validation of the model for the periods of 2006/2011, 2009/2013 and 2014/2016, which provided a better fit for all periods when compared to actual data.

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Published

2019-10-05

How to Cite

Rosa, L. P., & Cruz, P. A. da. (2019). Application of the SIR model in the study of dengue transmission in the municipality of Gurupi, Tocantins. Journal of Biotechnology and Biodiversity, 7(1), 231–240. https://doi.org/10.20873/jbb.uft.cemaf.v7n1.rosa

Issue

Vol. 7 No. 1 (2019): Journal of Biotechnology and Biodiversity

Section

Biotechnology

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