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 Dynamics of the lottery competition model in stochastic environments

主讲人：程佳麟

摘要：In order to investigate the role of environmental fluctuation on the ecological competition, we study the lottery competition model. First a diffusion approximation for the fraction of sites occupied by each adult species is derived as the continuum limit of a classical discrete-time lottery model. As a result, a system of nonlinear stochastic differential equations (SDEs) are developed as the diffusion approximation for the discrete lottery model. Then, the existence and uniqueness of positive and bounded global solutions, as well as long term dynamics for the solution are investigated, from which sufficient conditions for the coexistence of species in the sense of stochastic persistence are established. Moreover, in the 2-D case, we have obtained a time-dependent limiting process under certain conditions. Finally, Numerical simulations are presented to illustrate the theoretical results.

主讲人简介：程佳麒，男，2014年兰州大学数学与应用数学专业本科毕业，2017年兰州大学基础数学硕士研究生毕业，2022年美国奥本大学应用数学博士毕业，主要从事随机微分方程和随机分析及其应用研究，于SIAM J. Appl. Math.等高水平学术刊物发表论文多篇，曾获得奥本大学优秀研究奖（Excellent Research），并两次获得奥本大学Mary Neal奖学金（5000美元/项），一次获得Don and Sandy Logan奖学金（3000美元/项）。

邀请人：吴付科

时间：2024年7月16日（星期二）10:30-12:00

地点：科技楼南楼711室