应我校数学科学学院邀请，西南大学的任新志副教授于2023年4月2日为我校师生讲学。欢迎全校相关教师、博士生、硕士生参加!

报告题目：A weak competition system with four free boundaries and advection

报告人：任新志副教授

报告人单位：西南大学

时 间：2023年4月2日（周日），9:00

报告地点：腾讯会议号：755-055-2006

主办单位：重点建设与发展工作处、数学科学学院

任新志副教授简介：西南大学统计学博士后，2018年于西南大学获理学博士学位。主要从事传染病病动力学模型的研究工作，主持国家自然科学基金青年基金项目、中国博士后面上资助项目、重庆市自然科学基金博士后科学基金项目及中央高校基本业务费资助项目各1项，参研国家自然科学基金项目5项。在《Journal of Mathematical Biology》，《Journal of Mathematical Analysis and Application》等SCI期刊发表论文多篇。

报告摘要：In order to study the influence of advection speed on the competitive outcomes of two invading species, a reaction-diffusion-advection weak competition system with four free boundaries in one dimensional space is proposed and investigated. In the case of small advection speed, the explicit classification of the competitive outcomes, the estimation of the spreading speed, the long time behavior of the solutions and the minimal habitat size which determines whether the species can always spread or not are obtained. The results are similar as the case with no advection. In the case of large advection speed, both two species cannot spread successfully, but may virtual spread downstream. In the case of medium-sized advection speed, some competitive outcomes and the long time behaviors of the solutions are also obtained. Mathematical results suggest that the competitive outcomes, which depend on the advection speed and moving parameters, are very complicated. Some criteria for spreading, vanishing and virtual spreading are also established in all cases.

欢迎各位老师同学届时参加！