2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24477We study the detailed epidemic spreading process in scale-free networks with weight that denote familiarity between two people or computers. The result shows that spreading velocity reaches a peak quickly then decays representing power-law time behavior, and comparing to non-weighted networks, precise hierarchical dynamics is not found although the nodes with larger strength is preferential to be infected.3 pages, 2 figuresDisordered Systems and Neural Networkstext