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An introduction to dynamic systems with applications on Biology

Grant number: 17/07667-1
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): July 01, 2017
Effective date (End): 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)

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