The University of Arizona

Law of Large Numbers for SIR Process on Random Graph

Law of Large Numbers for SIR Process on Random Graph

Series: Mathematics Colloquium
Location: Math 501
Presenter: Grzegorz Rempala, Ohio State University

Stochastic SIR-type epidemic processes on random graphs are a special class of interaction networks that have become of interest lately for modeling contact-type epidemics (Ebola, HIV, etc). I will discuss a particular case of the SIR epidemic evolving on a configuration model random graph with given degree distribution. In particular, I will describe the relevant large graph limit result which yields the law of large numbers (LLN) for the edge-based SIR process and is useful in building a "network-free" SIR Markov hybrid model for epidemic parameters inference. Part of this for is joint with Joe Tien and Wasiur Khuda Bhuksh.

Refreshments in Math Commons Room at 3:30pm

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