Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks
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We investigate the effects of local population structure in reaction-diffusion processes representing a contact process (CP) on metapopulations represented as complex networks. Considering a model in which the nodes of a large scale network represent local populations defined in terms of a homogeneous graph, we show by means of extensive numerical simulations that the critical properties of the reaction-diffusion system are independent of the local population structure, even when this one is given by a ordered linear chain. This independence is confirmed by the perfect matching between numerical critical exponents and the results from a heterogeneous mean-field theory suited, in principle, to describe situations of local homogeneous mixing. The analysis of several variations of the reaction-diffusion process allows us to conclude the independence from population structure of the critical properties of CP-like models on metapopulations, and thus of the universality of the reaction-diffusion description of this kind of models.
CitationMata, A. S.; Ferreira, S. C.; Pastor-Satorras, R. Effects of local population structure in a reaction-diffusion model of a contact process on metapopulation networks. "Physical review E: statistical, nonlinear, and soft matter physics", 30 Octubre 2013, vol. 88, núm. 4, p. 042820-1-042820-7.