Decay Processes of Three-Species on Networks

We study the novel reaction-diffusion process of three-species on scale-free networks, which is significantly different from the chemical reaction systems manipulated from the deterministic rate equation. For our three-species process, the particle density scales as the power-law behavior existing the crossover, similar to the two-species reaction-diffusion system. From four kinds of the scaling exponent $\gamma$ in the degree distribution of networks, the fraction and the ratio are shown to increase linearly as time advances. The result that we analyzed and calculated is compared with other findings in the decay process.