理学院数学系学术报告
 

    应理学院数学系邀请,美国威廉玛丽学院(College of William and Mary)史峻平教授将来我校进行学术访问,欢迎有兴趣的师生参加。

学术报告信息如下:

报告时间:727日上午9:00-10:00

    点:H447

报告题目:Stability Switches in a Logistic Population Model with Mixed Instantaneous and Delayed Density Dependence

内容摘要:A logistic population model with mixed instantaneous and multiple delayed density dependence is considered. The global asymptotic stability of the positive equilibrium for all delays is obtained by using the upper and lower method when the instantaneous dependence is dominant. When the delayed dependence is more dominant, the local asymptotic stability and stability switches of the positive equilibrium is derived by choosing the delay as the bifurcation parameter and analyzing the characteristic equation. Compared with the logistic model with the instantaneous term and a single delayed term, our finding here is that the incorporation of another delayed term can lead to the occurrence of multiple stability switches. This is a joint work with Xiangping Yan of Lanzhou Jiaotong University.

主讲人简介:

史峻平,美国威廉玛丽学院(College of William and Mary)教授。1990-93年南开大学学习,1998年毕业于美国杨百翰大学,获博士学位。主要研究方向为偏微分方程,动力系统,分歧理论,非线性泛函分析,生物数学。现主持美国国家科学基金会基金项目1项,参加美国国家科学基金会基金项目1项,主持完成美国国家科学基金会项目3项。参加中国国家自然科学基金项目3项。获得黑龙江省科技奖2项。主持组织国际学术会议10多次,在国际学术会议做大会报告/邀请报告100余次。担任两个国际知名SCI刊物编委,为60多种数学、物理、生物刊物审稿人。发表学术论文100余篇,其中被SCI收录80余篇,被SCI杂志引用1000余次。在偏微分方程,分歧理论方面的研究工作受到国际上广泛重视。另外在生物数学,包括种群模型,生物化学反应,形态生成,生态系统稳定性等方面都有研究。

文章来源:哈工大(威海)今日工大