Epidemics and dimensionality in hierarchical networks

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Epidemics and Dimensionality in Hierarchical Networks

Da-Fang Zheng ∗, P.M. Hui, Steffen Trimper, and Bo Zheng 1 Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, People’s Republic of China 2 Fachbereich Physik, Martin-Luther-Universität, D-06099 Halle, Germany and 3 Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China Abstract Epidemiological processes are studied within a recently propose...

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Epidemiological processes are studied within a recently proposed social network model using the susceptible-infected-refractory dynamics of an epidemic. Within the network model, a population of individuals may be characterized by H independent hierarchies or dimensions, each of which consists of groupings of individuals into layers of subgroups. Detailed numerical simulations reveal that for H...

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2 Inaugurated by D. Bernoulli (1700-1782), the analysis of epidemics and their dissemination have been studied by various mathematicians. The benets from epidemic modelling are threefold: understanding mechanisms of spread of epidemics, predicting their future course and developing strategies to control them. Recently, epidemic algorithms (also known as gossip algorithms) have been proposed as ...

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ژورنال

عنوان ژورنال: Physica A: Statistical Mechanics and its Applications

سال: 2005

ISSN: 0378-4371

DOI: 10.1016/j.physa.2004.12.049