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
• Start date: March 01, 2012
• End date: 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). 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)

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; TORRISI, MARIANO. Symmetry methods in mathematical modeling of Aedes aegypti dispersal dynamics. Nonlinear Analysis: Real World Applications, v. 14, n. 3, p. 1300-1307, JUN 2013. (11/19089-6, 11/20072-0)

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, JUN 21 2013. (10/10259-3, 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, APR 2014. (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., 2013-06-01. (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, 2014. (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., 2012-01-01. (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., 2014-01-01. (11/20072-0, 11/19089-6)