报告题目：Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation

报告人：宋永利（同济大学教授、博导）          

报告时间：10月3日9：30-10：30

报告地点：555000jc线路检测中心文科楼222

摘要：Intertidal mussels can self-organize into periodic spot, stripe, labyrinth and gap patterns range from centimeters to meters scales. The leading mathematical explanations for these phenomena are the reaction-diffusion-advection model and phase separation model. This paper is continued in the series studies on an analytical understanding of the existence of pattern solutions in the reaction-diffusion mussel-algae model. The stability of the positive constant equilibrium, and the existence of Hopf and steady state bifurcations are studied by analyzing the corresponding characteristic equation. Furthermore, we focus on the Turing-Hopf (TH) bifurcation and obtain the explicit dynamical classification in its neighborhood by calculating and investigating the normal form on the center manifold. Using theoretical and numerical simulations, we demonstrates that this TH interaction would significantly enhance the diversity of spatial patterns and trigger the alternative paths for the patterns development.

报告人简介：宋永利，同济大学数学系博士生导师。2011年入选教育部新世纪优秀人才计划。2005年毕业上海交通大学数学系获理学博士学位。现为国际学术期刊APM和TMA编委。长期从事时滞微分方程分支理论、混沌控制、神经网络的动力学、时滞耦合系统的稳定性及同步模式、生物系统中的图灵模式等方面的研究工作。已在《Physica D》、 《Journal of Nonlinear Science》、《Nonlinear Analysis》等国际学术期刊上发表学术论文50余篇,被国内外同行他引800余次，其中单篇最高引用140次(Physica D,200 (2005)185-204)。2014年,2015年连续两次入选中国高被引学者(Most Cited Chinese Researchers)榜单(数学类)。曾主持、或作为项目组主要成员参与完成国家自然科学基金重点项目、面上项目、上海市自然科学项目、上海市创新项目等。目前正在主持一项国家自然科学基金面上项目的研究工作。

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