Periodic Solution and Stationary Distribution of Stochastic Predator–Prey Models with Higher-Order Perturbation
摘要：In this paper, two stochastic predator–prey models with general functional response and higher-order perturbation are proposed and investigated. For the nonautonomous periodic case of the system, by using Khasminskii’s theory of periodic solution, we show that the system admits a nontrivial positive T -periodic solution. For the system disturbed by both white and telegraph noises, sufficient conditions for positive recurrence and the existence of an ergodic stationary distribution to the solutions are established. The existence of stationary distribution implies stochastic weak stability to some extent.
报告地点：四教210
报告时间：2017.12.6下午3:30-4:30
报告人简介：蒋达清，中国石油大学（华东）bat365在线平台应用数学系教授，博士生导师。主要研究随机微分方程表示的随机生物数学模型和传染病模型。2008年获全国百篇优秀博士论文，2010年获第五届“秦元勋数学奖”，2015年获教育部自然科学奖二等奖；主持高等学校全国优秀博士学位论文作者专项基金和多项国家自然科学基金等项目；发表SCI期刊论文150余篇；连续四年入选数学学科领域高被引科学家。