报告题目：Dynamical Behaviors of a Stochastic Food Chain System with Ornstein-Uhlenbeck Process
报告人：蒋达清
报告时间：2022年5月11日（周三）18:30—20:30
腾讯会议ID：847 918 250
报告摘要：Considering the important role that food chains play in ecosystems, in this paper, we study a three-species stochastic food chain model in which the growth rates and death rates are governed by Ornstein–Uhlenbeck process. The main purpose of this paper is to study the dynamic properties of the model. We first prove the existence and uniqueness of the global solution to the model. The moment boundedness and asymptotic behavior of the solution are also verifified. Secondly, we get the result of extinction of the predators. Then, a suffificient criteria for the existence of the stationary distribution to the system are established by constructing a suitable Lyapunov function. Under the same conditions, it is worth noting that we further obtain the explicit formulas for the mean and the covariance of the probability density function for a linearized system around a equilibrium point. Finally, several numerical simulations are carried out to illustrate the theoretical results.
报告人简介：蒋达清，中国石油大学理学院教授，King Abdulaziz University兼职教授，东北师范大学数学与统计学院博士生导师。主要从事随机微分方程方向的研究，研究由随机微分方程描述的生物各物种数量的变化规律，预测种群和传染病最终的变化趋势（如灭绝性、持久性、不变分布、遍历性，周期性等），从而达到更好的维持生态平衡和防控传染病的目的。已发表300多篇SCI论文，主持高等学校全国优秀博士学位论文专项基金1项，主持4项国家自然科学基金面上项目。获2008年全国百篇优秀博士论文、2010年获第五届“秦元勋数学奖”、汤森路透和科睿唯安2014-2020年全球高被引科学家、爱思唯尔2014--2021年中国高被引学者, 获2015年教育部自然科学奖二等奖。
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