报告题目：Bridging the gap: connections between deterministic and stochastic population modelling (弥合间隙: 确定性和随机种群模型之间的联系)
报告人：Dr Eric Foxall （University of Alberta）
报告时间：2019年6月10日（星期一）上午9:00-11:00
报告地点：理学院一楼报告厅
报告摘要：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.