应002资讯网微分方程与动力系统课题组邀请，加拿大纽芬兰纪念大学Xiaoqiang Zhao教授作客【致敬百年】微分方程与动力系统云端专题讲坛，欢迎感兴趣的师生参加！

【报告题目】：A Delayed Succession Model with Diffusion for The Impact of Diapause on Population Growth

【报告时间】：2020年6月13日 19:30-21:00

【报告平台】：Zoom

点击链接直接加入会议：https://zoom.com.cn/j/94749160021

【报告摘要】： Diapause, a period of arrested development driven by adverse environmental conditions, plays an important role in the establishment and invasion of insects and other invertebrate organisms in temperate and subtropical areas. In order to describe the spatial dynamics of diapusing species, we propose a novel model involving (a) seasonal succession to distinguish the normal growth period, diapause period, and postdiapause period; (b) a diffusion term to represent the random movement of species; and (c) a maturation delay term to describe the developmental duration of species. We first study the model in a bounded domain for the survival and establishment of a species. The extinction and persistence of the species can be predicted by the basic reproduction ratio R0. Then we investigate the model in an unbounded domain for the spreading of the species. Our results show that the minimal wave speed for a periodic traveling wave is equal to the spreading speed. Numerical simulations are performed to validate theoretical results and in particular to compare the effects of two diapausing strategies: diapausing in the adult stage and in the immature stage.  This talk is based on a recent joint work with Drs. Zhenguo Bai and Yijun Lou.

【报告人主页】：https://www.math.mun.ca/~zhao