加拿大阿尔伯特大学Eric Foxall博士学术报告(四)

发布者:姜珍珍发布时间:2019-06-10浏览次数:93

报告题目:Social Contact Processes and the Partner Model

报告人:Dr Eric Foxall University of Alberta

报告时间:2019614日(星期五)上午9:00-11:00

报告地点:理学院一楼报告厅

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.


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