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Dynamical systems and biomathematics

Grant number: 15/06942-3
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): June 01, 2015
Effective date (End): May 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal researcher:Maurício Richartz
Grantee:Maria Clara Assay Sarem
Home Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

We propose an introduction to the broad and complex area of Dynamical Systems, with emphasis on biomathematical applications. The research plan starts with a study of ordinary differential equations which complements regular undergraduate courses. Next, a systematic study of Dynamical Systems will be conducted, starting with first-order equations, followed by phase space and periodic orbits, and ending with chaos. In the second stage of the project, several biological applications will be analyzed, including, but not limited to, discrete and continuous populational models, interaction species models (prey-predator), dynamics of marital interaction, and reaction kinetics. It is important to remark that all mathematical analysis of the project will be complemented by plots and simulations made with Scilab.

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