报告名称：On the strongly competitive case in a fully parabolic two-species chemotaxis system with Lotka-Volterra competitive kinetics

主讲人：穆春来 教 授

邀请人：刘国威 副教授

时间：2023年12月22日 16: 00

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报告摘要

This work considers a two-species chemotaxis system with Lotka-Volterra competitive kinetic functional response term in a bounded domain with smooth boundary. We proved global bounded solutions to the system in high dimensions without the convexity of the domain. Moreover, by constructing appropriate Lyapunov functionals, it is proved that the solution convergences to the semitrivial steady state under strong competition if the growth coefficients of two species are appropriately large. Furthermore, the linear stability analysis is performed to find the possible patterning regimes, outside the stability parameters regime, for both semi-trivial and coexistence steady states, our numerical simulations show that non-constant steady states and spatially inhomogeneous temporal periodic patterns are all possible.

专家简介

穆春来，教授，重庆大学数学与统计学院院长，从事非线性偏微分方程和生物数学研究，教育部新世纪人才、重庆市学术带头人和领军人才；获教育部自然科学奖二等奖、重庆自然科学奖二等奖、国家教学成果二等奖；教育部“非线性分析数学与应用”重点实验室、重庆“分析数学与应用”重点实验室、国家一流专业“数学与应用数学”、国家一流课程“线性代数”、重庆“数学”一级重点学科等负责人。承担国家自科面上、重庆自科重点等基金，在重要学术期刊发表论文百余篇。重庆数学会副理事长，期刊ERA（SCI）和CMAA编委。