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arXiv · 1501.01701

Distributed Resource Allocation for Epidemic control

Chinwendu Enyioha·Ali Jadbabaie·Victor Preciado·George J. Pappas
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Abstract

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.

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Chinwendu Enyioha, Ali Jadbabaie, Victor Preciado, George J. Pappas. 2015-01-08. Distributed Resource Allocation for Epidemic control. https://arxiv.org/abs/1501.01701

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