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Title: | Mathematical modeling applied to epidemics: an overview |
Keywords: | Epidemics Mathematical modeling Susceptible-infected-recovered (SIR) Disease spreading Public health Complex networks Epidemias Modelagem matemática Modelo SIR Doenças - Disseminação Saúde pública Redes complexas |
Issue Date: | Sep-2021 |
Publisher: | Springer Nature |
Citation: | MATA, A. S.; DOURADO, S. M. P. Mathematical modeling applied to epidemics: an overview. São Paulo Journal of Mathematical Sciences, [S. I.], v. 15, p. 1025-1044, Dec. 2021. DOI: https://doi.org/10.1007/s40863-021-00268-7. |
Abstract: | This work presents an overview of the evolution of mathematical modeling applied to the context of epidemics and the advances in modeling in epidemiological studies. In fact, mathematical treatments have contributed substantially in the epidemiology area since the formulation of the famous SIR (susceptible-infected-recovered) model, in the beginning of the 20th century. We presented the SIR deterministic model and we also showed a more realistic application of this model applying a stochastic approach in complex networks. Nowadays, computational tools, such as big data and complex networks, in addition to mathematical modeling and statistical analysis, have been shown to be essential to understand the developing of the disease and the scale of the emerging outbreak. These issues are fundamental concerns to guide public health policies. Lately, the current pandemic caused by the new coronavirus further enlightened the importance of mathematical modeling associated with computational and statistical tools. For this reason, we intend to bring basic knowledge of mathematical modeling applied to epidemiology to a broad audience. We show the progress of this field of knowledge over the years, as well as the technical part involving several numerical tools. |
URI: | https://doi.org/10.1007/s40863-021-00268-7 http://repositorio.ufla.br/jspui/handle/1/57811 |
Appears in Collections: | DMV - Artigos publicados em periódicos |
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