  We present a distributed resource allocation strategy to control an epidemic
outbreak in a networked population based on a Distributed Alternating Direction
Method of Multipliers (D-ADMM) algorithm. We consider a linearized Susceptible-
Infected-Susceptible (SIS) epidemic spreading model in which agents in the
network are able to allocate vaccination resources (for prevention) and
antidotes (for treatment) in the presence of a contagion. We express our
epidemic control condition as a spectral constraint involving the
Perron-Frobenius eigenvalue, and formulate the resource allocation problem as a
Geometric Program (GP). Next, we separate the network-wide optimization problem
into subproblems optimally solved by each agent in a fully distributed way. We
conclude the paper by illustrating performance of our solution framework with
numerical simulations.
