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Epidemic spreading is of great importance in public health, as well as in related fields such as infrastructure. While complex network models have been used with great success to analyze epidemic behavior on static single networks, the reality is that the networks that make up our world are both A) subject to continual change, and B) not isolated from other networks. I examine the spread of epidemics following the Susceptible-Infected-Recovered model and analyze first the effect of dynamic quarantine on epidemic spreading, and second the effect of coupled interacting networks on network spreading. New phase transitions and new phases are found analytically and confirmed with numerical simulations. Host: Aric Hagberg, CNLS, 667-1444, hagberg@lanl.gov |