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 Erd ̈os-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.
Impact of network structure on a model of diffusion and competitive interaction / V. Nicosia;F. Bagnoli;V. Latora. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 94:(2011), pp. 68009-p1-68009-p6. [10.1209/0295-5075/94/68009]
Impact of network structure on a model of diffusion and competitive interaction
BAGNOLI, FRANCO;
2011
Abstract
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 Erd ̈os-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.File | Dimensione | Formato | |
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