云亭数学讲坛2022第39讲——王杰副教授

应学院邀请，兰州理工大学王杰副教授将来bat365官网作学术报告。 

报告题目：Threshold dynamics scenario of a plants-pollinators cooperative system  with impulsive effect on a periodically evolving domain

报告摘要：To reveal the threshold dynamics phenomena caused by the combination of the birth impulse and domain evolution, this talk is devoted to exploring a plants-pollinators cooperative system with impulsive effect on a periodically evolving domain. Firstly, the ecological reproduction index is introduced and well-defined for plants population alone as well as plants-pollinators system, which particularly depends on the impulsive function and the evolution rate of the domain. Then, the thorough dynamics scenario, including the sharp extinction, persistence, and coexistence behaviors, are investigated by utilizing the monotone iteration technique with the proper upper and lower solutions. Finally, some selective numerical simulations are still performed to explain our theoretical results. Precisely, the current study suggests that a large domain evolution rate has a positive influence on the survival of pollinators whether or not the impulsive effect occurs, while impulsive effect has a passive influence on the survival of pollinators, and, eventually, lead to the extinction of pollinators.

报告时间：2022年6月29日下午2:30

报告地点：教学9号楼C-101学术报告厅

邀 请 人：张国宝 教授

届时欢迎广大师生参与交流！

报告人简介

      王杰，兰州理工大学副教授、硕士研究生导师，2015年6月博士毕业于兰州大学应用数学专业（微分方程与动力系统方向），师从李万同教授。目前主要从事微分方程，特别是变化区域上反应扩散方程的研究工作，研究的主题一方面是探索生物数学特别是数学生态学当中各类问题的建模、分析和应用，另一方面则尝试揭示种群空间扩张行为的定性特征和生物含义。目前已在Journal of  Differential Equations，Journal of Dynamics and Differential Equations，Advances in Differential Equations，Zeitschrift Angewandte Mathematik und Physik和Nonlinear Analysis, Real World Applications等杂志上发表论文10余篇；现主持国家自然科学基金、省自然科学基金项目各一项，主持完成国家自然科学基金一项，作为主要参与人完成国家自然科学基金两项。