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

TL;DR

This paper investigates the complex epidemic spreading dynamics involving two interacting species on scale-free networks, revealing how asymmetric coupling influences phase transitions and critical behavior.

Contribution

It introduces a novel two-species epidemic model with asymmetric interactions on scale-free networks, providing analytical phase diagrams and critical behavior analysis.

Findings

Critical behavior depends on network degree exponent 

Analytic phase diagram derived for the model

Numerical simulations support the theoretical results

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.