2022西安电子科技大学

非线性分析、微分方程与动力系统系列报告

本期组织：李善兵、吴事良

主办单位：西安电子科技大学best365亚洲版登录

基金资助：国家自然科学基金、陕西省杰出青年科学基金

联系人：李善兵 手机：18700410622 E-mail: lishanbing@xidian.edu.cn

报告信息

(以姓氏拼音为序) 

On the strongly competitive case in a two-species chemotaxis system with competitive kinetics

穆春来  重庆大学

摘要：In this talk, we consider a mathematical system of the two-species chemotaxis system with Lotka-Volterra competitive kinetic functional response term in a bounded domain with smooth boundary. The global boundedness for the solution of this system is greatly influenced by the Lotka-Volterra dynamics functional term, furthermore, the large time behavior is determined by the Lotka-Volterra dynamics term. Based on the results of previous studies, we mainly study the global boundedness for the solution of this system in the case of non-convex domain with high dimensions by constructing appropriate energy estimates, and the stability for the bounded solution of the system in strong competition case by constructing a special form of Lyapunov functional. Our results generalize some well-known results in the literature. This is a joint work with Xu Pan, Weirun Tao, Liangchen Wang.

报告人简介：穆春来，教授，博士导师，重庆大学best365亚洲版登录院长，1994在复旦大学获得博士学位，2005年入选教育部新世纪优秀人才, 2008入选重庆市第二学术与技术带头人, 2014年获得国家教学成果二等奖, 2019年获得教育部自然科学奖二等奖，2021入选重庆市英才计划领军人才，重庆市数学会副理事长，先后在莫斯科大学、在澳大利亚Curtin科技大学、美国中佛罗里达大学、美国德克萨斯大学阿灵顿分校、香港城市大学做访问学者。主要从事非线性偏微分方程、生物数学以及图像处理的理论和应用研究, 已在“Math Mod Meth Appl. Sci.”“J. Diff. Equs”“J. Nonlinear Sci.”“Proc. Roy. Soc. Edingh Sec. A” “中国科学” “数学学报”等国内外数学期刊发表论文多篇。先后承担了国家自然科学基金、教育部新世纪优秀人才基金、重庆市科委重点基金等多项。