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Various disasters with serious results are reported and happen around our lives. Emergency logistics is an important activity dealing with the disasters to transfer a large number of materials to the destroyed places for casualties and reconstruction for the country, even the world. However, the emergency logistics network itself is liable to be damaged by the disaster. Inspired by immune system, a multi-affinity network model is proposed to build the underlying architecture of emergency logistics network. Various affinity measures are introduced to model the relationship among various entities or sets. By simple simulation study, the emergency logistics and immune-inspired structures are demonstrated. It can be extended to be a basis for emergency logistics study. The analyzing and optimization of emergency logistics can be conducted upon the multi-affinity model.