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

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

2006-08-21

arxiv.org/abs/cond-mat/0608461v1

Phys. Rev. E 74, 066113 (2006).

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 eps figures, 1 table

Scientific paper

10.1103/PhysRevE.74.066113

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.

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