报告题目:Global dynamics of a nonlocal periodic reaction-diffusion model of bluetongue disease
报 告 人:李福香 (中国地质大学(北京))
报告形式:腾讯会议ID:793-261-190
内容简介:In this talk, I will report our recent research on a nonlocal reaction-diffusion model of bluetongue disease with seasonality, spatial heterogeneous structure, and periodic extrinsic incubation period. We introduce the basic reproduction ratio R0 for this model and show that the disease-free periodic solution is globally attractive if R0 < 1, while the disease is uniformly persistent if R0 > 1. Further, we obtain the global attractivity of the positive steady state in the case where all the coefficients are constants. Numerically, we study the bluetongue transmission in Corsica Island, France, and investigate the impact of some model parameters on R0. We find that the disease risk may be underestimated if the spatial heterogeneity is ignored. This talk is based on a joint work with Professor Xiao-Qiang Zhao.
报告人简介:李福香, 中国地质大学(北京)数理学院教师。2016年硕士毕业于北京科技大学,导师马万彪教授,2020年博士毕业于加拿大纽芬兰纪念大学(Memorial University of Newfoundland),导师赵晓强教授。研究领域是生物数学与微分方程理论及其应用,主要从事流行病学、病毒与免疫学、传染病等相关实际问题的动力学建模、动力系统的基础理论与数值分析, 特别对周期的传染病动力系统模型的研究工作。目前已在J. Differential Equations, SIAM J. Appl. Math., J. Math. Biol., Bull. Math. Biol. 等期刊发表学术论文多篇。主持国家自然科学基金青年项目1项,主持中央高校基本业务科研项目1项。
(撰稿人:吕云飞;审稿人:郭永峰)
数学科学学院
2022年4月13日