【廿周年院庆学术报告100】 · 【和山数学论坛第382期】
一、报告题目:Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system
二、报告人：戴斌祥教授
三、时间：2023年10月15日（周日）上午：9:30-10:30
四、地点：闻理园A4-218
报告摘要：This talk is devoted to our recent work on a time-periodic Lotka-Volterra competition-diffusion system. Huston et al. [J. Math. Biol. 43 (2001) 501-533] and Bai et al. [J. Eur. Math. Soc., 2022, online] studied the effects of diffusion rates on the dynamics of a time-periodic Lotka-Volterra competition-diffusion system with identical interspecific competition abilities. In this paper, we consider the case of different interspecific competition coefficients. The obtained results can be divided into two groups. The first part focuses on the interplay between the diffusion intensities and the interspecific competition coefficients on the dynamics in the weak competition case. We provide some sufficient conditions on coexistence and competitive exclusion. The second part considers the dynamics for fixed diffusion coefficients and varying competition coefficients. We not only provide a complete classification on the dynamics when one of the interspecific competition coefficients is small, but also show the multiple coexistence periodic patterns by applying the bifurcation method.
报告人简介：戴斌祥，中南大学数学与统计学院二级教授、博士生导师；湖南省数学学会常务理事、高等教育与大学数学竞赛工作委员会副主任委员；中国数学会生物数学专业委员会常务理事；入选湖南省新世纪121人才工程人选；主要从事时滞微分方程与离散动力系统、种群生态学与传染病学、反应扩散方程的定性理论与应用等领域的研究，先后在《Nonlinearity》、《J. Differ. Equ.》、《J. Dyn. Diff. Equ.》、 《J. Math. Anal. Appl.》、《Appl. Math. Model》、《Discrete Contin. Dyn. Sys.》、 《Nonlinear Anal.》等国内外权威期刊上发表学术论文160多篇，主持6项国家自然科学基金面上项目、1项国家973计划子课题和多项省部级科研课题，获得湖南省科技进步一等奖和湖南省自然科学一等奖各1项，主编出版教材6部，2020年获得全国宝钢教育基金优秀教师奖。
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