Display Abstract

Title A dynamical system approach to complex networks in Biology

Name Jose A Langa
Country Spain
Email langa@us.es
Co-Author(s) Gyovanny Guerrerro and Antonio Suarez
Submit Time 2014-02-25 04:08:54
Session
Special Session 29: Stochastic and deterministic dynamical systems and applications
Contents
We study $N$-dimensional mutualistic models in Biology with competitive-cooperative relations among participants. We compare the dynamical properties of this type of systems, described as complex networks. We observe how cooperation is a common fact to increase biodiversity, which it is known that, generically, holds for general mutualistic dynamical systems in Ecology. We also give mathematical evidence on how a cooperative species induces an increased biodiversity, even if the species is push to extinction. For this fact, we propose a necessary change in the model formulation which could explain this kind of phenomenon. We will point out some interesting open problems on dynamics and complex networks related to this kind of models.