Many natural phenomena are the result of combining several processes related to different time scales (cellular,…,individual,….,community,…). The underlying mathematical models, described in terms of difference equations or ODE, are hard to be analytically analyzed. The approximate aggregation techniques describe conditions allowing to build up a reduced, less dimensional, system keeping certain asymptotic information of the original model.

From a mathematical point of view, we work to get better approximate aggregation results.

Regarding applications, within this framework, we deal with spatially distributed population/community and epidemic models. Further applications have to do with game theory and behavioral population models.


Research papers.

Conference talks and seminars: slices and posters.


Phd thesis.

Approximate aggregation of nonlinear dynamical systems. University of Alcalá, July 2011. Pdf