The investigations of age structures in population growth via differential systems are presented from three aspects: modeling, model reduction and application. The structured population growth is normally described by a PDE equation equipped with an appropriate boundary condition and initial date. However, various ordinary/functional differential systems can be reduced from the general PDE equation with respective biological assumptions. This talk will present some delay differential equations to describe predator-prey interaction, population growth with inter- and intra- specific competition, and size-structured population growth.

In this talk we propose a prey-predator model in multiple patches through the stage structured maturation time delay with migrations among patches. Focus on the case with two patches, we discuss the existence of equilibrium points and the uniform persistence. In particular, when the maturation times are the same in the patches, we study the local and global attractivity of boundary equilibrium point with general

题目：An Extension of Feller's Strong Law of Large Numbers报告人：Professor Li Deli Department of Mathematical Sciences Lakehead University, Canada (加拿大Lakehead大学数学科学系教授）时间：2016年4月27日（周三）上午10:00开始地点：宁静楼104室欢迎广大师生前来参

题目：Spectral Hypergraph Theory Via Tensors.报告人：祁力群教授 (香港理工大学数学系 )时间: 2016年4月14日(周四)下午16:00.地点: 致远楼107室.欢迎大家前往听讲

学 术 报 告题目：More Dynamical Properties Revealed in A 3D Chaotic System报告人：李先义 教授 （扬州大学）时间：4月8日（星期五），下午 3:30-4:30地点：致远楼102室李先义，现任职扬州大学教授， 主要研究常微分方程与动力系统。至今在Nonlinear Dyn., IJBC, JMAA, CMA等著名期刊发表科研论文近60篇。主持包括国家自然科学基金面上项目、数学天元基金、国家留学基金等各级各类科研项目等21项。曾先后被评为“湖南省青年...

题目：平均法与Melnikov函数法的等价性报告人：韩茂安 教授 （上海师范大学）时间：4月8日（星期五），下午 2:30-3:30地点：致远楼102室韩茂安，教授，博导，现任上海师范大学数学科学研究所所长、上海师范大学数理信息学院副院长，主要从事常微分方程与动力系统的研究。作为负责人主持完成了5项国家自然科学基金项目，5项省部级基金项目，并入选2004年度教育部新世纪优秀人才培养计划和2006年度上海市学优秀科带头人支持计划；...

Forward performance processes were introduced by Musiela and Zariphopoulou, which complement the classical expected utility paradigm where the utility is a deterministic function chosen at maturity, and there is little flexibility to incorporate updating of risk preferences, rolling horizons, learning and other realistic "forward in nature" features. Forward performance processes alleviate these shortcomings and offer a construction of a genuinely dynamic mechanism for evaluating the performance of investment strategies as the market evolves. In this talk, we show how to representant forward performance processes in terms of ergodic BSDE, and their connection with ergodic stochastic control.

This talk puts forward some applications of Poincare-Birkhoff / Moser twist theorem on periodic solutions and quasi-periodic solutions to discontinuous differential systems.

Instantons are connections which are critical points of the Yang-Mills energy functional. Instantons in four dimensions have been a popular subject for nearly forty years, but there is now growing interest in instantons in higher dimensions. This talk will focus on dimensions six and seven, and the relationships between them. After explaining why these dimensions are important, I will show how to construct some instantons on six-dimensional nearly Kaehler manifolds and how to analyse their stability.

Instantons are connections which are critical points of the Yang-Mills energy functional. Instantons in four dimensions have been a popular subject for nearly forty years, but there is now growing interest in instantons in higher dimensions. This talk will focus on dimensions six and seven, and the relationships between them. After explaining why these dimensions are important, I will show how to construct some instantons on six-dimensional nearly Kaehler manifolds and how to analyse their stability.