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
γ
of the underlying scale-free networks. Numerical simulation results that support the analytic results are also presented.