Research plan on functional differential equations

• Grant number: 10/12712-7
• Support Opportunities: Scholarships abroad - Research
• Start date: December 01, 2010
• End date: May 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marta Cilene Gadotti
• Grantee: Marta Cilene Gadotti
• Host Investigator: Maria Teresa Faria da Paz Pereira
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Institution abroad: Universidade de Lisboa, Portugal

Abstract

There are two suggested topics for research. First consider a particular case and autonomous Lotka-Volterra model with multiple delays and we are interested in building conditions to ensure the existence of some critical values of delays for which the equation has a pair of characteristic roots on the imaginary axis and then study possible Hopf bifurcations on the central manifold. Another issue involves a system of reaction-diffusion type with delay. This type of system may represent a model of population dynamics and seeks to prove the existence of positive solutions heteroclinic to functional differential equations with diffusion and also the existence of traveling waves for the corresponding positive reaction-diffusion model. (AU)

Scientific publications

(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)

FARIA, TERESA; GADOTTI, MARTA C.; OLIVEIRA, JOSE J.. Stability results for impulsive functional differential equations with infinite delay. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 75, n. 18, p. 6570-6587, DEC 2012. (10/12712-7)