雲亭數學講壇2022第39講——王傑副教授

應學院邀請，蘭州理工大學王傑副教授将來我院作學術報告。 

報告題目：Threshold dynamics scenario of a plants-pollinators cooperative system  with impulsive effect on a periodically evolving domain

報告摘要：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.

報告時間：2022年6月29日下午2:30

報告地點：教學9号樓C-101學術報告廳

邀 請 人：張國寶 教授

屆時歡迎廣大師生參與交流！

報告人簡介

      王傑，蘭州理工大學副教授、碩士研究生導師，2015年6月博士畢業于蘭州大學應用數學專業（微分方程與動力系統方向），師從李萬同教授。目前主要從事微分方程，特别是變化區域上反應擴散方程的研究工作，研究的主題一方面是探索生物數學特别是數學生态學當中各類問題的建模、分析和應用，另一方面則嘗試揭示種群空間擴張行為的定性特征和生物含義。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等雜志上發表論文10餘篇；現主持國家自然科學基金、省自然科學基金項目各一項，主持完成國家自然科學基金一項，作為主要參與人完成國家自然科學基金兩項。