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刘桂荣教授学术讲座预告

2019年07月02日 15:29  点击:[]

讲座题目 Analysis of stochastic Nicholson-type delay system with patch structure 讲座时间 2019年6月28日(星期五)上午10:55-11:40
讲座地点 9号楼数学报告厅(924) 主讲人 刘桂荣教授
内容摘要 This paper is devoted to investigate a stochastic Nicholson-type delay system with patch structure, which includes the models of marine protected areas and B-cell chronic lymphocytic leukemia dynamics all affected by some stochastic perturbation. Firstly, we prove that the system has a unique global positive solution by constructing a suitable Lyapunov functional. Then we show that the system is ultimately bounded in probability and the average in time of the second moment of solution is bounded. Furthermore, we give asymptotic pathwise estimation of the solution under some conditions. Finally, numerical simulations confirm the theoretical results. Our results improve and generalize the previous related results. 主讲简介 刘桂荣教授是山西省高等学校优秀青年学术带头人,曾多次主持国家自然科学基金项目和省部级项目,发表高级别学术论文30余篇,在常微分方程定性与稳定性理论、分支理论、动力系统理论等多方面卓有建树。

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