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

Yong-Yeol Ahn·Naoki Masuda·Hawoong Jeong·Jae Dong Noh
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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 $γ$ of the underlying scale-free networks. Numerical simulation results that support the analytic results are also presented.

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Yong-Yeol Ahn, Naoki Masuda, Hawoong Jeong, Jae Dong Noh. 2006-08-21. Epidemic Dynamics of Interacting Two Particle Species on Scale-free Networks. https://doi.org/10.1103/physreve.74.066113

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