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We consider the spread of epidemics in technological and social networks. Howdo people react? Does awareness and cautious behavior help? We analyze thesequestions and present a dynamic model to describe the movement of individualsand/or their mobile devices in a certain (idealistic) urban environment.Furthermore, our model incorporates the fact that different locations canaccommodate a different number of people (possibly with their mobile devices),who may pass the infection to each other. We obtain two main results. First, weprove that w.r.t. our model at least a small part of the system will remainuninfected even if no countermeasures are taken. The second result shows thatwith certain counteractions in use, which only influence the individuals'behavior, a prevalent epidemic can be avoided. The results explain possiblecourses of a disease, and point out why cost-efficient countermeasures mayreduce the number of total infections from a high percentage of the populationto a negligible fraction.

Awareness and Movement vs. the Spread of Epidemics - Analyzing a Dynamic Model for Urban Social/Technological Networks