Speaker：Prof. Hua Nie， Shaanxi Normal University

             Title: Single phytoplankton species growth with light and crowding effect in a water column

            Time：2018-06-22, 10:30-11:30

Venue：Room 316 of Environment Building, Renmin University

Abstract: We investigate a nonlocal reaction-diffusion-advection model which describes the growth of a single phytoplankton species in a water column with crowding effect. The longtime dynamical behavior of this model and the asymptotic profiles of its positive steady states for small crowding effect and large advection rate are established. The results show that there is a critical death rate such that the phytoplankton species survives if and only if its death rate is less than the critical death rate. In contrast to the model without crowding effect, our results show that the density of the phytoplankton species will have a finite limit rather than go to infinity when the death rate disappears. Furthermore, for large sinking rate, the phytoplankton species concentrates at the bottom of the water column with a finite population density. For large buoyant rate, the phytoplankton species concentrates at the surface of the water column with a finite population density

报告人简介：

聂华，博士、教授、硕士生导师，长期从事反应扩散模型和生物数学的研究。2006年7月于陕西师范大学数学与信息科学学院获得基础数学博士学位。2010年9月至2011年9月赴美国明尼苏达大学数学学院留学一年，2015年9月至12月赴澳大利亚新英格兰大学合作研究，2012年8月、2016年8月两次赴台湾清华大学合作研究。已在“SIAM J. Appl. Math.”、“SIAM J. Math. Anal.”、“J. Math. Biol.”、“European J. Appl. Math.”、“Proc. London Math. Soc.”、“Internat. J. Bifur. Chaos Appl. Sci. Engrg.”、“Sci. China Math.”等国内外知名刊物上发表学术论文40多篇；已主持国家自然科学基金项目3项，主持省部级项目3项；2012年入选教育部“新世纪优秀人才支持计划”，2015年入选陕西省“青年科技新星”