報告題目：Bridging the gap: connections between deterministic and stochastic population modelling (彌合間隙: 確定性和隨機種群模型之間的聯系)
報告人：Dr Eric Foxall （University of Alberta）
報告時間：2019年6月10日（星期一）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 study the scaling behaviour of the extinction time of the simple logistic birth and death process, as the carrying capacity n tends to 1, when the reproductive rate r and the initial value X0 are allowed to vary arbitrarily with n. We give a complete description of all possible rescaled limit distributions, and give the precise scaling in each case. In particular, the change in behaviour from small to large initial values, and from small to large reproductive rate as the system passes through its phase transition window, are clearly exhibited.