Non-Linear Dynamics, Slow-Fast Systems and Biological Modeling

• Grant number: 24/13075-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2024
• End date: October 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paulo Ricardo da Silva
• Grantee: Paulo Hissao Simoce Araujo
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 23/02959-5 - Non-Smooth Systems and Singular Perturbations, AP.R

Abstract

Nonlinear dynamics is an essential tool for studying biological systems, as many biological processes exhibit nonlinear behavior due to interactions between variables. Ordinary Differential Equations are used in several models. In particular in population growth models (Malthusian, logistic) and epidemiological models (SIR). In this project we will study the main results of the Qualitative Theory of ODEs and apply them to biological models.