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Group methods for reaction-diffusion systems and its applications to biomathematical models

Grant number: 11/20072-0
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: March 01, 2012 - February 16, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Igor Leite Freire
Grantee:Igor Leite Freire
Visiting researcher: Mariano Torrisi
Visiting researcher institution: Università degli Studi di Catania, Italy
Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

We propose to investigate, from the point of view of symmetry methods, nonlinear reaction-diffusion systems useful for mathematical modelling for diseases, bacterial colonies, cancer and so on. Moreover special attention is payed in determining the subclasses of the self-adjoint and weak/nonlinear self-adjoint systems of such systems in order to get conservation laws. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (7)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FREIRE, IGOR LEITE; DA SILVA, PRISCILA LEAL; TORRISI, MARIANO. Lie and Noether symmetries for a class of fourth-order Emden-Fowler equations. Journal of Physics A-Mathematical and Theoretical, v. 46, n. 24, . (10/10259-3, 11/19089-6, 11/20072-0)
FREIRE, IGOR LEITE; TORRISI, MARIANO. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics. Nonlinear Analysis: Real World Applications, v. 14, n. 3, p. 1300-1307, . (11/19089-6, 11/20072-0)
FREIRE, IGOR LEITE; TORRISI, MARIANO. Similarity solutions for systems arising from an Aedes aegypti model. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 19, n. 4, p. 872-879, . (11/19089-6, 11/20072-0)
FREIRE, IGOR LEITE; TORRISI, MARIANO. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 14, n. 3, p. 8-pg., . (11/20072-0, 11/19089-6)
FREIRE, IGOR LEITE; TORRISI, MARIANO. Weak Equivalence Transformations for a Class of Models in Biomathematics. Abstract and Applied Analysis, . (11/19089-6, 11/20072-0)
FREIRE, I. L.; TORRISI, M.; SIMOS, TE; PSIHOYIOS, G; TSITOURAS, C; ANASTASSI, Z. On a Model for Aedes Aegypti. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, v. 1479, p. 4-pg., . (11/20072-0)
FREIRE, IGOR LEITE; TORRISI, MARIANO. Weak Equivalence Transformations for a Class of Models in Biomathematics. Abstract and Applied Analysis, v. N/A, p. 9-pg., . (11/20072-0, 11/19089-6)

Please report errors in scientific publications list by writing to: gei-bv@fapesp.br.