11-14 July 2023
MPI Plön
Europe/Berlin timezone

Generalized Random Lotka-Volterra model: number of equilibria, glassiness, and beyond

13 Jul 2023, 09:00
25m
Lecture hall - interim building (MPI Plön)

Lecture hall - interim building

MPI Plön

August-Thienemann-Straße 2

Speaker

Ada Altieri (Université Paris Cité)

Description

In this talk, I will address some timely questions in theoretical ecology by discussing the Generalized Lotka-Volterra model in the presence of many randomly interacting species and finite demographic fluctuations. Leveraging on disordered systems’ techniques, I will unveil a rich, eventually hierarchical, organization of the equilibria and relate the slowing down of dynamical correlators to glassy-like features. Such a framework works surprisingly well also for integrating and interpreting datasets of patients suffering from Chron's disease, for which a statistically rigorous description is still missing.
Finally, I will discuss possible generalizations to non-logistic growth functions allowing us, on the one hand, to capture positive feedback mechanisms ("Allee effect"), and, on the other hand, to pinpoint new phase transitions as a smoking-gun signature of criticality.

Presentation Materials

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