報告題目：On the strongly competitive case in a fully parabolic two-species chemotaxis system with Lotka-Volterra competitive kinetics

報 告 人：穆春來  教授

報告時間：5月12日14:30-16:30

報告地點：明理樓C302B

報告人簡介：

穆春來，教授，重慶大學數學與統計學院院長。穆教授主要從事非線性偏微分方程和生物數學研究；先后入選“教育部新世紀優秀人才”計劃、重慶市學術與技術帶頭人、重慶市英才計劃領軍人才；承擔了國家自然科學基金、教育部新世紀優秀人才基金、重慶市自然科學重點基金等；2019年獲教育部自然科學獎二等獎，2015年獲得重慶市自然科學獎二等獎，2014年獲得國家教學成果二等獎；已在M3AS, JDE, J. Nonlinear Sci，JDDE，Proc. Roy. Soc. Edingh-A, DCDS，中國科學，數學學報等國內外重要數學期刊發表論文多篇。

報告內容摘要：

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.

主辦單位：理學院、人工智能研究院、非線性動力系統研究所、數理力學研究中心 、科學技術發展研究院