报告人：Professor Xiaoqiang Zhao

报告题目：Global Dynamics of a Nonlocal Periodic Reaction-Diffusion

Model of Bluetongue Disease  

报告摘要：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 Dr. Fuxiang Li.

报告时间：2022年4月12日20:00-22:00

报告平台：腾讯会议，会议号313-963-127

报告人简介：赵晓强，加拿大纽芬兰纪念大学数学与统计系教授，该校University Research Professorship荣誉获得者。赵教授先后于1983年和1986年在西北大学数学系获学士和硕士学位，1990年在中国科学院应用数学研究所获博士学位。赵教授长期从事动力系统、微分方程和生物数学相关领域的研究，在单调动力学、一致持久性、行波解和渐近传播速度、基本再生数的理论及应用等方面的系列工作受到同行的广泛关注和引用。迄今为止，他已在“Comm. Pure Appl. Math.、 J. Eur. Math. Soc.、 J. reine angew. Math.、 J. Math. Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math. Anal.”等国际知名期刊上发表论文100余篇，并在Springer出版专著“Dynamical Systems in Population Biology”。

赵教授个人主页：https://www.math.mun.ca/~zhao/