Impact of network structure on a model of diffusion and competitive interaction
Dipartimento di Fisica e Astronomia, Università di Catania and INFN - Via S. Sofia, 64, 95123 Catania, Italy, EU
2 Laboratorio sui Sistemi Complessi, Scuola Superiore di Catania - Via Valdisavoia, 9, 95123 Catania, Italy, EU
3 Dipartimento di Energetica, Università di Firenze, and CSDC and INFN, Sezione di Firenze - Firenze, Italy, EU
Accepted: 10 May 2011
We consider a model in which agents of different species move over a complex network, are subject to reproduction and compete for resources. The complementary roles of competition and diffusion produce a variety of fixed points, whose stability depends on the structure of the underlying complex network. The survival and death of species is influenced by the network degree distribution, clustering, degree-degree correlations and community structures. We found that the invasion of all the nodes by just one species is possible only in Erdös-Renyi and regular graphs, while networks with scale-free degree distribution, as those observed in real social, biological and technological systems, guarantee the coexistence of different species and therefore help enhancing species diversity.
PACS: 89.75.Hc – Networks and genealogical trees / 89.75.Fb – Structures and organization in complex systems / 89.75.-k – Complex systems
© EPLA, 2011