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.
報告地點：四教210
報告時間：2017.12.6下午3:30-4:30
報告人簡介：蔣達清，中國石油大學（華東）必一体育平台應用數學系教授👨🏿🔧，博士生導師。主要研究隨機微分方程表示的隨機生物數學模型和傳染病模型。2008年獲全國百篇優秀博士論文🫃，2010年獲第五屆“秦元勛數學獎”，2015年獲教育部自然科學獎二等獎🦣；主持高等學校全國優秀博士學位論文作者專項基金和多項國家自然科學基金等項目；發表SCI期刊論文150余篇🕣；連續四年入選數學學科領域高被引科學家。