Epidemic Dynamics of Interacting Two Particle Species on Scale-free Networks

Abstract

We study the non-equilibrium phase transition in a model for epidemic spreading on scale-free networks. The model consists of two particle species $A$ and $B$, and the coupling between them is taken to be asymmetric; $A$ induces $B$ while $B$ suppresses $A$. This model describes the spreading of an epidemic on networks equipped with a reactive immune system. We present analytic results on the phase diagram and the critical behavior, which depends on the degree exponent $\gamma$ of the underlying scale-free networks. Numerical simulation results that support the analytic results are also presented.

arXiv comment5 pages, 3 eps figures, 1 table

References in corpus (18)

• Statistical mechanics of complex networks
• The structure and function of complex networks
• Epidemic spreading in scale-free networks
• Assortative mixing in networks
• The diameter of the world wide web
• Evolution of networks
• The Web of Human Sexual Contacts
• Immunization of complex networks
• Universal Behavior of Load Distribution in Scale-free Networks
• Efficient Immunization Strategies for Computer Networks and Populations
• Halting viruses in scale-free networks
• Absence of epidemic threshold in scale-free networks with connectivity correlations
• Are randomly grown graphs really random?
• Threshold effects for two pathogens spreading on a network
• Non mean-field behavior of the contact process on scale-free networks
• Anomalous percolating properties of growing networks
• Phase Transition with the Berezinskii--Kosterlitz--Thouless Singularity in the Ising Model on a Growing Network
• Asymmetrically coupled directed percolation systems

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