报告题目：On the extinction-extinguishing dichotomy for stochastic Lotka–Volterra type populations

报告专家：杨叙教授

报告地点：9-122会议室

报告时间：2024年3月23日 15:00-16:00

报告摘要：Applying some criteria, we study a two-dimensional process (X, Y) arising as the unique nonnegative solution to a pair of stochastic differential equations driven by independent Brownian motions and compensated spectrally positive Lévy random measures. Both processes X and Y can be identified as continuous-state nonlinear branching processes and their evolution are negatively affected each other. We identify rather sharp conditions on the extinction behavior of (X, Y), respectively, one of the following behaviors: extinction with probability one, non-extinction with probability one or both extinction and non-extinction occurring with strictly positive probabilities. This talk is based on the paper of [SPA,150 (2022) 50–90] and a recent joint work with Jie Xiong and Xiaowen Zhou.

报告人简介：杨叙，北方民族大学教授，2013年6月博士毕业于北京师范大学，主要从事分枝过程、随机微分方程和随机偏微分方程方面的研究工作，在《Annals of Applied Probability》、《Stochastic Processes and their Applications》、《Bernoulli》和《Journal of Differential Equations》等期刊上发表过多篇学术论文。

作者：胡军浩；编辑：刘鹍；审核：郭晖；上传：郭敏。