Nonlinear dynamics applied to engineering problems

• Grant number: 25/07992-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2025
• End date: July 31, 2027
• Field of knowledge: Engineering - Electrical Engineering
• Principal Investigator: José Roberto Castilho Piqueira
• Grantee: Cristiane Mileo Batistela Gouvea
• Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 22/00770-0 - Nonlinear dynamics applied to engineering problems, AP.TEM

Abstract

The project considers epidemiological mathematical models and the coupling between these models. In a first stage, a homogeneous network consisting of two nodes of the SIR (Susceptible-Infected-Removed) epidemiological model will be studied, fully connected, followed by a network with more nodes.The research will continue with the investigation of the analysis of the non-homogeneous network given by the coupling of other epidemiological models and the validation of the modeling will be carried out with the data available at the Ministry of Health of Brazil.Statistical techniques of curve fitting, functional data analysis, theory of dynamical systems, and numerical methods of analysis and simulation will be used, implemented in the form of computer programs in Python language. (AU)