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【College of William and Mary, USA】Turing type bifurcation in reaction-diffusion models with nonlocal dispersal

2023年01月08日 12:28  点击:[]

报告题目:Turing type bifurcation in reaction-diffusion models with nonlocal dispersal

报 告 人:史峻平 教授(College of William and Mary, USA

报告时间:2023 1 10 日(周二) 10:00-11:00

腾讯会议号:848 920 554

校内联系人:衣凤岐 教授 联系电话84708351-8118


报告摘要: In reaction-diffusion models describing biological and chemical interactions, some dispersal and interaction can be of nonlocal nature. We show that when a nonlocal dispersal occurs instead of classical diffusion, how the mechanism of Turing diffusion-induced instability and pattern formation changes. It is shown that Turing type instability and associated spatial patterns can be induced by fast nonlocal inhibitor dispersal and slow activator diffusion, and slow nonlocal activator dispersal also causes instability but may not produce stable spatial patterns. The existence of nonconstant positive steady states is shown through bifurcation theory. This suggests a new mechanism for spatial pattern formation, which has a different instability parameter regime compared to the Turing mechanism. This talk is based on joint work with Shanshan Chen, Xiaoli Wang and Guohong Zhang.


报告人简介:史峻平,美国威廉玛丽学院(College of William & Mary)数学系教授, 2018-2022年任数学系主任。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。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。在生物数学方向包括种群模型,生物化学反应,形态生成,生态系统稳定性等方面都有研究。曾任哈尔滨师范大学龙江学者讲座教授,山西大学百人计划讲座教授,主持参加美国国家科学基金会基金项目多项,主持组织国际学术会议20多次,在国际学术会议做大会报告/邀请报告100余次。担任多个国际知名SCI刊物编委,为100多种数学、物理、生物刊物审稿人。发表学术论文190余篇,被引用7000余次



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