Home, Research, Publications, Editions, Vita, MiscLinks
RESEARCH:
Rafael
Bravo de
Catedrático
de Universidad de Matemática Aplicada
U.D.
Matemáticas, Universidad de Alcalá,
28871 Alcalá
de Henares, Madrid, Spain
Research Interests:
The study
of biological processes can be carried out at different scales, from the
cellular scale to the ecosystem level. Frequently, which is typical in
ecological models, the model construction is approachable out of first
principles at the individual level that must be subsequently scaled to higher
levels. This method yields systems of great complexity. My research interests
encompass some techniques of simplification of these systems, which include
scale jumps, as well as their applications to particular ecological systems.
In this
context, from the methodological point of view, I collaborate with some
colleagues in the development of so-called variables aggregation methods. They consist in describing
the asymptotic behaviour of complex systems including different time scales
with the help of reduced systems for a few global variables.
The
main applications I am interested in have to do with continuous and discrete ecological
and eco-epidemic models with spatial or behavioural heterogeneity and forest dynamics.
Publications For a listing of
publications go to: Publications