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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.
My research is
presently supported by:
Ministerio de Ciencia e Innovación (Spain),
project PID2020-114814GB-I00: Timescales in Eco-Epidemiological Models (2021-24).
Publications For a listing of publications
go to: Publications