Simple reaction-diffusion population model on scale-free networks.

We study a simple reaction-diffusion population model [proposed by A. Windus and H. J.

Response of degree-correlated scale-free networks to stimuli.

The response of degree-correlated scale-free attractor networks to stimuli is studied. We show that degree-correlated scale-free networks are robust to random stimuli as well as the uncorrelated scale-free networks, while assortative (disassortative) scale-free networks are more (less) sensitive to directed stimuli than uncorrelated networks. We find that the degree correlation of scale-free networks makes the dynamics of attractor systems different from uncorrelated ones.

Excitable Greenberg-Hastings cellular automaton model on scale-free networks.

We study the excitable Greenberg-Hastings cellular automaton model on scale-free networks. We obtain analytical expressions for no external stimulus the uncoupled case. It is found that the curves, the average activity F versus the external stimulus rate r, can be fitted by a Hill function, but not exactly, there exists a relation F approximately r{alpha} for the low-stimulus response, where the Stevens-Hill exponent alpha ranges from alpha=1 in the subcritical regime to alpha=0.