講座題目：Dynamical behaviors of a Lotka-Volterra competition system in open advective environments

講座專家：李艷玲（陜西師范大學教授/博士生導師）

講座對象：學院教師、碩士生

講座時間：2021年7月26日晚上8:00-10:00

講座地點：數(shù)學與統(tǒng)計學院3304教室

內(nèi)容摘要：In this paper, we are concerned with a general reaction-diffusion-advection model which characterizes the interactions between two competing species in river environments. By regarding advection rates of two species as variable parameters, we provide an efficient way to completely understand the local dynamics. It turns out that there always exist two critical curves which may separate competition outcomes into competitive exclusion, bistability and coexistence. As a further development, under the assumption that the ratio of advection and diffusion rates of one species is greater than or equal to that of the other species, we give a specific classification on the global dynamics, which shows that bistability does not happen, but coexistence and competitive exclusion may occur. These interesting results indicate that advective movements play a key role in determining the dynamical behaviors.

專家簡介：李艷玲，博士、教授、博士生導師，研究方向：反應擴散方程及其應用。2005年于西安交通大學獲得博士學位，2009年晉升為教授。主持國家自然科學基金面上項目1項，主持完成國家教育部和陜西省自然科學基礎研究計劃項目各1項，參與完成國家自然科學基金和省部級基金10余項。在“Nonlinear Anal. RWA”、“Appl. Math. Lett.”、“Int. J. Biomath.”、“Acta Appl. Math.”、“J.Bifur. Chaos Appl. Sci. Engrg.”、“數(shù)學學報”、“Acta Mathematica Scientia”、“應用數(shù)學學報”等國內(nèi)外學術(shù)期刊上發(fā)表論文 100余篇。在西安交通大學出版社出版《應用偏微分方程》著作1部。獲陜西省科技成果進步二等獎和陜西省高等學校科學技術(shù)一等獎。