题目：Persistence and Spatial Propagation of an Impulsive Integro-differential Model with Non-local Pulse

内容简介：In order to investigate the spatial distribution and evolution dynamics of populations exhibiting synchronized reproduction and two stage long-distance dispersal modes, in this paper we propose an impulsive integro-differential model with non-local pulse. Firstly, we establish the extinction and persistence dynamics on the bounded domain with Dirichlet boundary of non-local type. Secondly, we derive the existence and characterization of the spreading speed in the whole space as well as the consistency with the minimum wave speed of the traveling waves. Finally, numerical simulations are presented to study the effects of different dispersal patterns and dispersal strategy allocations on population persistence and spreading speed under a constant measure of overall dispersal. Our results show that under the same overall variance, the non-local diffusion pattern has both higher steady-state density and greater spreading speed than the local diffusion pattern. Moreover, under the same overall dispersal distance, the optimal state for both population persistence and spreading speed is achieved through a stage-concentrated dispersal strategy, where dispersal occurs in a single life stage and the other stages remain sedentary. This work provides new insights into the understanding of non-local interactions in biology and ecology.

报告人：王佳兵

报告人简介：中国地质大学（武汉）副教授、博士生导师。2018年6月博士毕业于兰州大学（与加拿大纽芬兰纪念大学联合培养），先后入选地大学者岗位青年优秀人才与青年拔尖人才。主要研究领域为微分方程与动力系统，尤其关注扩散系统的传播理论及应用，已在 JNS、JDE、JDDE、DCDS、Proc. Roy. Soc. Edinburgh Sec. A、Stud. Appl. Math.、Sci. China Math.等期刊发表系列学术论文，其中ESI高被引论文3篇、热点论文1篇。主持完成国家自然科学基金青年项目1项，正在主持国家自然科学基金面上项目以及湖北省、广东省、重庆市自然科学基金面上项目各1项。

时  间：2025年7月18日 （周五） 上午11:00开始

地  点：石牌校区南海楼124会议室

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