报告题目：Social Contact Processes and the Partner Model
报告人：Dr Eric Foxall （University of Alberta）
报告摘要：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.