Time scale separation: comparison of singular perturbation and center manifold analysis under scaling

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Ore: 15:00

Relatore:

• Nico Stollenwerk (Universidade de Lisboa, Portugal)

Abstract:

To analyse time scale separation for model reduction to lower dimensional effective models we compare singular perturbation and center manifold analysis, giving special attention to the scaling of small parameters appearing in the dynamic equations. Examples shown are models for vector borne diseases, SISUV and SIRUV models, as examples of low dimensional analytically treatable models. The first, the SISUV model, is naturally a singular perturbation problem, not the other one, the SIRUV model, which initially appears in the form of a regular perturbation problem, but leading to singular behaviour due to the non-linearity of the dynamics, making it an initially harder problem than models with naturally appearing classical singular pertubation form.

Referente: Andrea Pugliese