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Seasonal influence on age-structured invasive species with yearly generation
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报告题目:Seasonal influence on age-structured invasive species with yearly generation

报 告 人:方健 教授 哈尔滨工业大学

照片:

邀请人:白振国 吴事良

报告时间:2020年6月24日(周三) 20:30-21:30

腾讯会议ID: 593 672 943

报告人简介:方健,哈尔滨工业大学数学学院教授、副院长。2005年于大连理工大学获学士学位后,推荐到哈尔滨工业大学攻读基础数学博士学位,2011年3月留校任讲师,次年晋升为教授。2007至2010年,作为联合培养博士生在加拿大纽芬兰纪念大学学习,2011至2015年分别在加拿大约克大学和法国社会科学高等研究院做博士后研究,曾获全国优博提名奖、秦元勋青年数学奖和Fields Research Fellowship. 研究方向为扩散系统的时空传播理论及应用,目前兴趣为非均匀环境下的传播问题,在JEMS、JFA、SIMA等期刊发表论文十余篇,被他引四百余次。个人主页:http://homepage.hit.edu.cn/JianFang

报告摘要:How do seasonal successions influence the propagation dynamics of an age-structured invasive species? We investigate this problem by considering the scenario that the offsprings are reproduced in spring and then reach maturation in fall within the same year. For this purpose, a reaction-diffusion system is proposed, with yearly periodic time delay and spatially nonlocal response caused by the periodic developmental process. By appealing to the recently developed dynamical system theories, we obtain the invasion speed c* and its coincidence with the minimal speed of time periodic traveling waves. The characterizations of c* suggest that (i) time delay decreases the speed and its periodicity may further do so; (ii) the optimal time to slow down the invasion is the season without juveniles; (iii) the speed increases to infinity with the same order as the square root of the diffusion rate. This talk is based on a joint work with Yingli Pan and Junjie Wei.

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