The contact process on scale-free networks evolving by vertex updating
نویسندگان
چکیده
منابع مشابه
The contact process on scale-free networks evolving by vertex updating
We study the contact process on a class of evolving scale-free networks, where each node updates its connections at independent random times. We give a rigorous mathematical proof that there is a transition between a phase where for all infection rates the infection survives for a long time, at least exponential in the network size, and a phase where for sufficiently small infection rates extin...
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We investigate the contact process on random graphs generated from the configuration model for scale-free complex networks with the power law exponent β ∈ (2, 3]. Using the neighborhood expansion method, we show that, with positive probability, any disease with an infection rate λ > 0 can survive for exponential time in the number of the vertices of the graph. This strongly supports the view th...
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We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase transition at a finite critical value of the control parameter, characterized by a set of exponents depending on the network structure. Since finite size effects are large and the infinite network limit cannot be reached ...
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We study the dynamics of the contact process, one of the simplest nonequilibrium stochastic processes, taking place on a scale-free network. We consider the network topology as annealed, i.e., all links are rewired at each microscopic time step, so that no dynamical correlation can build up. This is a practical implementation of the absence of correlations assumed by mean-field approaches. We p...
متن کاملNon-Mean-Field Behavior of the Contact Process on Scale-Free Networks
0031-9007= We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase transition at a finite critical value of the control parameter, characterized by a set of exponents depending on the network structure. Since finite size effects are large and the infinite network limit cannot ...
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ژورنال
عنوان ژورنال: Royal Society Open Science
سال: 2017
ISSN: 2054-5703
DOI: 10.1098/rsos.170081