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