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Probability Seminar: Dong Yao, Duke

March 5, 2020 @ 4:15 pm - 5:15 pm

Probability Seminar
Thursday, February 20th, 2020
Hanes 125
4:15 PM


Dong Yao
Duke University, Mathematics Department

 

Epidemics on Evolving Graphs

 

The evoSIR model is a modification of the usual SIR process on a graph G in which S−I connections are broken at rate ρ and the S connects to a randomly chosen vertex. The evoSI model is the same as evoSI but recovery is impossible. In a 2018 DOMath project the critical value for evoSIR was computed and simulations showed that when G is an Erd\”os-Renyi graph with mean degree 5 the system has a discontinuous phase transition, i.e., as the infection rate λ decreases to λc, the final fraction of infected individuals does not converge to 0. In this paper we study evoSI and evoSIR dynamics on graphs generated by the configuration model. We show that for each model there is a quantity Δ determined by the first three moments of the degree distribution, so that the transition is discontinuous if Δ>0 and continuous otherwise.

Refreshments will be served at 3:45 in the 3rd floor lounge of Hanes Hall

Details

Date:
March 5, 2020
Time:
4:15 pm - 5:15 pm
Event Category:

Venue

Hanes 125