学术报告报告题目：Analysis of a taxis cascade system
报 告 人：陶有山 教授(东华大学)
报告时间：2018年11月 30 日（星期五）下午16:00-17:00
报告地点：4号楼318 室
邀 请 人：金海洋 副教授
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数学学院
2018年 11 月21日
报告摘要：
We consider a model for food consumption in populations consisting of two groups, where the populations in the first group are so-called producers that directly orient their movement towards higher food concentrations, and where in contrast to this, the members of the second group are referred to as scroungers that take a parasitic foraging strategy and they search for food by rather biasing their migration upward density gradients of the producers. The interplay of such simple mechanisms of “producing” and “scrounging” possibly leads to some complex pattern formations, e.g. the formation of certain shearwater flocks through attraction to kittiwake foragers observed in Alaska. We mainly report some results on global smooth solvability as well as asymptotic behavior of solutions to this new model in the one-dimensional case. This talk is based on a recent joint work with Michael Winkler (Paderborn)
报告人简介：
陶有山, 教授, 博士生导师，东华大学理学院副院长。于1986年获得南京大学学士学位，于1992年获得复旦大学理学硕士学位，于1995年毕业于苏州大学并获博士学位。曾多次在美国俄亥俄州立大学、日本东京大学进行学术访问。陶教授研究方向为偏微分方程、生物数学，在趋向性数学模型的研究、前列腺癌间隙性雄激素剥夺治疗的数学模型研究、肿瘤生长及其干预治疗的数学模型研究。近几年主要研究来自于生物过程的趋化模型，在JEMS、SIMA、 Ann. Inst. H. Poincaré Anal. Non Linéaire、Math. Models Methods Appl. Sci.、J. Nonlinear Sci.、Inverse Problems、JMB、Nonlinearity、JDE等国际知名数学发表期刊论文70余篇，MR引用余约1500次,10余篇论文入选ESI高被引论文.主持国家基金及省部级项目10余项。现担任2份国际SCI期刊Nonlinear Analysis: Real World Applications 和EMS Surveys in Mathematical Sciences 的编委。