報告題目：On the extinction-extinguishing dichotomy for stochastic Lotka–Volterra type populations
報告專家：楊敘教授
報告地點：9-122會議室
報告時間：2024年3月23日 15:00-16:00
報告摘要：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.
報告人簡介：楊敘，北方民族大學教授，2013年6月博士畢業于北京師范大學，主要從事分枝過程、隨機微分方程和隨機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》等期刊上發表過多篇學術論文。
作者：胡軍浩；編輯：劉鹍；審核：郭暉；上傳：郭敏。
