报告题目：Age-structured models with nonlocal diffusion

报告人：康浩讲师（天津大学）

报告时间：2024年8月22日10:00-11:30

报告地点：复杂系统研究所5层报告厅

报告人简介：康浩，天津大学应用数学中心讲师，2013年本科毕业于兰州大学，2020年博士毕业于迈阿密大学。主要研究微分方程、动力系统和生物数学，在MathAnn.、lsraelJ.Math.、J.Anal. Math.、SlAM J. Math.Anal.、CVPDE、JDE和JMB等学术期刊发表若干交章。

报告摘要：Age-structured models with nonlocal diffusion arise naturally indescribing the population dynamics of biological species and the transmissiondynamics of infectious diseases in which individuals disperse nonlocally andinteract each other and the age structure of individuals matters. In this talk, we study the principal spectral theory of age-structured models with nonlocaldiffusion. First, we provide two criteria on the existence of principaleigenvalues and next investigate the influence of diffusion rate and diffusionrange on the principal eigenvalue. Finally, we study the effects of principal eigenvalues on the global dynamics of the equation with monotonenonlinearity on the birth rate.