title: Epidemic spreading in annealed directed networks: susceptible-infected-susceptible model and contact process.
abstract: We investigate epidemic spreading in annealed directed scale-free networks with the in-degree (k) distribution P(in)(k)~k(-γ(in)) and the out-degree (ℓ) distribution, P(out)(ℓ)~ℓ(-γ(out)). The correlation <kl> of each node on the networks is controlled by the probability r(0≤r≤1) in two different algorithms, the so-called k and ℓ algorithms. For r=1, the k algorithm gives <kl>=<k(2)>, whereas the ℓ algorithm gives <kl>=<ℓ(2)>. For r=0, <kl>=<k><ℓ> for both algorithms. As the prototype of epidemic spreading, the susceptible-infected-susceptible model and contact process on the networks are analyzed using the heterogeneous mean-field theory and Monte Carlo simulations. The directedness of links and the correlation of the network are found to play important roles in the spreading, so that critical behaviors of both models are distinct from those on undirected scale-free networks.
authors: Department of Physics and Research Institute of Basic Sciences, Kyung Hee University, Seoul 130-701, Korea.
authors: Sungchul
authors: S
authors: Kwon
authors: Yup
authors: Y
authors: Kim
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology*; D003198:Computer Simulation; D016358:Contact Tracing / Q000379:methods*; D004198:Disease Susceptibility / Q000453:epidemiology*; D058872:Epidemics / Q000706:statistics & numerical data*; D006801:Humans; D008962:Models, Theoretical; D015995:Prevalence; D018570:Risk Assessment / Q000379:methods