Ordinary differential equations and modeling in Biology

• Grant number: 19/06335-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2019
• End date: June 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paulo Ricardo da Silva
• Grantee: John Paulo da Silva Souza
• 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: 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

Abstract

We will study Ordinary Differential Equations (EDOS's) and their applications in models derived from biology. The modeling allows to describe the behavior of the systems. We will mainly analyze the dynamic aspects. We will start with a complete study of linear equations and then we will study the non-linear equations using the phase plane. We will see how to deduce the characteristics of the solutions without explicitly solving the equations.