Theoretical Aspects and Numerical Methods in the Application of Ordinary Differential Equations to Modeling of COVID-19 Pandemic

• Grant number: 23/06097-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2023
• End date: September 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Luciano Aparecido Magrini
• Grantee: Eduardo Ferreira da Silva
• Host Institution: Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP). Campus São Paulo. São Paulo , SP, Brazil

Abstract

The application of differential equations in modeling epidemiological dynamics has developed significantly in the last hundred years due to mainly two reasons: (a) the research work developed by W. O. Kermack and A. G. McKendrick in 1927, where the idea of compartmental models was presented, and (b) the popularization of computers that made it possible to apply numerical integration methods on a large scale. In this context, the mathematical modeling of infectious diseases has become an interdisciplinary research area where mathematicians, physicists, biologists, epidemiologists, and computer scientists have worked together. Particularly in recent years, when the world has experienced a serious health crisis caused by the COVID-19 pandemic, there has been a significant boost in research related to disease propagation models via differential equations, and it is in this context that this research project is proposed, which aims to contribute to the training of potential scholarship holders and also to assist in the training of researchers in the area that has been fundamental in the face of past and future health challenges, which experts say are certain to occur.