An introduction to dynamic systems with applications on Biology

• Grant number: 17/07667-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2017
• End date: June 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Tiago de Carvalho
• Grantee: Micaeli Mendola Theodoro
• Host Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil
• Associated research grant: 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

Abstract

We will start this project with an introduction to discrete time dynamic systems. In our approach we will analyze linear models of exponential growth, migrations, iterations between two species, predation, among other examples based on biology. In the second part of the project we will study continuous dynamic systems. Here we will analyze possibilities of equilibrium and stability of models with one and two species, predator-prey models, among others. (AU)