Speaker
Description
In the very recent years, an increasing amount of interest has been devoted to the study of models of ecosystems defined on sparse random graphs.
In this scenario both network topology and interactions nature play a relevant role in establishing the ecosystem properties.
In particular, differently from what usually happens in dense random matrices, the spectra of locally tree-like graphs with purely predator-prey interactions remain confined in a bounded region on the real axis instead of growing with the system size.
Accordingly, these sparse models does not exhibit a trade-off between size and stability. This feature can provide insights into the modelling of ecosystems, especially with regard to the so-called complexity-stability debate.
