報告題目：Social Contact Processes and the Partner Model
報告人：Dr Eric Foxall （University of Alberta）
報告時間：2019年6月14日（星期五）上午9:00-11:00
報告地點：必一体育平台一樓報告廳
報告摘要：We consider a stochastic model of infection spread on the complete graph on 
vertices incorporating dynamic partnerships, which we assume to be monogamous. This can be seen as a variation on the contact process in which some form of edge dynamics determines the set of contacts at each moment in time. We identify a basic reproduction number 
with the property that if 
the infection dies out by time 
, while if 
the infection survives for an amount of time 
for some 
and hovers around a uniquely determined metastable proportion of infectious individuals. The proof in both cases relies on comparison to a set of mean-field equations when the infection is widespread, and to a branching process when the infection is sparse.