報(bào)告題目：On the extinction-extinguishing dichotomy for stochastic Lotka–Volterra type populations
報(bào)告專家：楊敘教授
報(bào)告地點(diǎn)：9-122會(huì)議室
報(bào)告時(shí)間：2024年3月23日 15:00-16:00
報(bào)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(bào)告人簡(jiǎn)介：楊敘，北方民族大學(xué)教授,，2013年6月博士畢業(yè)于北京師范大學(xué),，主要從事分枝過程、隨機(jī)微分方程和隨機(jī)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(fā)表過多篇學(xué)術(shù)論文,。
作者：胡軍浩,；編輯：劉鹍；審核：郭暉,；上傳：郭敏,。
