The dynamics of a nonlocal dispersal logistic model with seasonal succession and free boundaries

讲座时间 Datetime: 2022年11月25日，星期五，10：00-11：30

地点 Venue: 腾讯线上会议： 855-166-593

主持人 Host：赵育林 教授

报告人 Speaker: 戴斌祥 教授

单位 Affiliation: 中南大学

报告摘要 Abstract:

This talk is devoted to a nonlocal dispersal logistic model with seasonal succession and free boundaries, where the free boundaries represent the expanding front and the seasonal succession accounts for the effect of two different seasons. Technically, this free boundary problem is much more difficult than the case without seasonal succession since the coefficients are all time periodic and piecewise continuous. We prove the existence and uniqueness of global solution, and then examine the long-time dynamical behaviour and the criteria that completely determine when spreading and vanishing can happen, revealing some significant differences from the model without seasonal succession. Moreover, we use a “thin-tail” condition on the kernel function to estimate the asymptotic spreading speed, which is achieved by solving the associated semi-wave problem.

报告人简介：

戴斌祥，中南大学数学与统计学院二级教授、博士生导师；中南大学数学与统计学院学位委员会委员；湖南省数学学会常务理事、副秘书长；中国生物数学学会常务理事；中国大学生数学竞赛湖南赛区负责人；入选湖南省新世纪121人才工程人选；中南大学应用数学学科方向学术带头人；国家自然科学奖和湖南省自然科学奖数学专业评审组委员；教育部科技进步奖和湖南省、甘肃省、上海市科技进步奖的通讯评审专家；国家自然科学基金、湖南省、浙江省、河北省自然科学基金同行评议专家；国际差分方程协会会员，中国数学会会员；《Mathematical Problems in Engineering》、《Pure Mathematics》编委会成员，《美国数学评论》、《德国数学评论》特约评论员。主要研究方向为：时滞微分方程与离散动力系统、脉冲微分方程理论、生物数学模型的定性理论、反应扩散方程的定性理论与应用等领域的科学研究。