Dynamics of infectious diseases: A review of the main biological aspects and theirmathematical translation

• Autores: Deccy Trejos, José Carlos Valverde Fajardo, Ezio Venturino
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 7, Nº. 1, 2022, págs. 1-26
• Idioma: inglés
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• Resumen

  • In this paper, the main biological aspects of infectious diseases and their mathematical translation for modeling theirtransmission dynamics are revised. In particular, some heterogeneity factors which could influence the fitting of the modelto reality are pointed out. Mathematical tools and methods needed to qualitatively analyze deterministic continuous-time models, formulated by ordinary differential equations, are also introduced, while its discrete-time counterparts areproperly referenced. In addition, some simulation techniques to validate a mathematical model and to estimate the modelparameters are shown. Finally, we present some control strategies usually considered to prevent epidemic outbreaks andtheir implementation in the model