The Role of Diffusion in Time-Periodic Competition System with Equal Total Resources-申请方

The Role of Diffusion in Time-Periodic Competition System with Equal Total Resources
讲座
活动时间:2026.06.24 08:30 - 2026.06.24
活动地址:江苏师范大学云龙校区 6 号楼 304 报告厅
主办方
江苏师范大学数学与统计学院、数学研究院、科学技术研究院
讲座介绍
in this talk, we discusses the role of diffusion in time-periodic competition system in which two species share the same total resource availability but may differ in their spatio-temporal allocation. when both diffusion coefficients are small, the system is uniformly persistent and the unique positive periodic solution converges patch-wise to the local time-dependent carrying capacity. when one species disperses rapidly, explicit integral criteria that reflect the spatial “roughness” of the resource functions determine whether (i) the slower diffuser excludes the faster, (ii) the two species coexist, or (iii) both semi-trivial periodic solutions are simultaneously stable—revealing a previously unreported bistable regime. the limiting profile of the positive periodic solution is also obtained for the mixed-scale limit in which one dispersal rate vanishes while the other tends to infinity. this is a joint work with dr. zhenzhen li at central south university.
演讲人
王明新
王明新:山西大学特聘教授。 1994 年起享受国务院政府特殊津贴, 1998 年任博士生导师, 2007 年起任二级教授。在 j. math. pures appl., trans. amer. math. soc., proc. london math. soc., indiana univ. math. j., math. models meth. appl. sci., siam 系列, j. funct. anal., cvpde, jde 等国际知名期刊发表被 sci 检索的论文 280 余篇。 crc 出版社出版著作 《nonlinear second order parabolic equations》 (独著), springer 出版社出版合著 《nonlinear second order elliptic equations》 (排名第一),科学出版社出版著作 5 部( 4 部独著, 1 部合著),高教出版社出版著作 1 部(独著),清华大学出版社出版教材 5 部( 3 部独著, 2 部合著)。此外,还参与编写了由王元主编的《数学大辞典》。作为第一完成人,荣获教育部自然科学二等奖、江苏省科学技术奖二等奖、教育部科技进步三等奖各 1 项,还获得河南省青年科技奖、江苏省首届青年科学家奖提名奖、江苏省优秀研究生指导教师奖和华英文化教育基金奖。 1993 年被授予河南省优秀专家称号。主持完成国家自然科学基金项目 11 项,在研一项;主持完成省部级项目 8 项。