Qualitative analysis of ordinary differential equations - applications in population dynamics models.

• Grant number: 22/14904-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2023
• End date: February 28, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Renata Zotin Gomes de Oliveira
• Grantee: Álvaro Leitão Pellegrino
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

This project aims to study the flow of ordinary differential equations through the stability analysis of equilibrium points. In addition, a study of the main types of bifurcation will be carried out, with emphasis on mathematical models of Population Dynamics that depend on some parameters.