应002资讯网盛伟杰副教授邀请,兰州大学数学与统计学院李万同教授将于近日在公司作学术报告,欢迎感兴趣的师生参加。
报告题目:The dynamics of the Fisher-KPP nonlocal diffusion model with free boundaries
报告时间:2020年11月03日10:00-11:00
报告平台:腾讯会议 会议 ID:497 849 272 会议密码:201103
会议链接:https://meeting.tencent.com/s/GgXausVYwx8s
报告摘要:We introduce and study a class of free boundary models with nonlocal diffusion, where local diffusion is used to describe the population dispersal, with the free boundary representing the spreading front of the species. We show that this nonlocal problem has a unique solution defined for all time, and then examine its long-time dynamical behavior when the growth function is of Fisher-KPP type. We prove that a spreading-vanishing dichotomy holds, though for the spreading-vanishing criteria significant differences arise from the well known local diffusion model. Finally, as an application, we consider the dynamics of a nonlocal epidemic model with free boundaries. This talk is based on joint works with Jia-Feng Cao (Lanzhou University of Technology), Yihong Du (University of New England), Fang Li (Sun Yat-sen University), Wenjie Ni (University of New England) and Meng Zhao (Northwest Normal University).
报告人简介:李万同,二级教授,博士,博士导师,兰州大学“萃英学者”二级教授,兰州大学数学与统计学院经理、中国数学会副理事长、甘肃省数学会理事长,甘肃省高校应用数学与复杂系统重点实验室主任。主要从事偏微分方程与动力系统领域的相关研究,合作在Marcel Dekker出版社《纯粹数学与应用数学专著系列》出版专著1部,主持国家自然科学基金重点项目1项,面上及国际合作项目6项,参加重点项目1项。主持完成的项目获甘肃省自然科学一等奖和二等奖各1次。2001年获《教育部高等学校优秀青年教师教学科研奖励计划》既第二届《教育部优秀青年教师奖》,并获《甘肃省优秀专家》,2004年获国务院颁发的政府特殊津贴并获《宝钢教育基金会优秀教师奖》、2009年入选甘肃省领军人才第一层次。