讲座题目1：Basic reproduction ratios for periodic and time-delayed compartmental models with impulses
讲座时间：15:00-16:00
讲座人：白振国 副教授
讲座内容简介：
Much work has focused on the basic reproduction ratio R0 for a variety of compartmental population models, but the theory of R0 remains unsolved for periodic and time-delayed impulsive models. In this paper, we develop the theory of R0 for a class of such impulsive models. We first introduce R0 and show that it is a threshold parameter for the stability of the zero solution of an associated linear system. Then we apply this theory to a time-delayed computer virus model with impulse treatment and obtain a threshold result on its global dynamics in terms of R0. Numerically, it is found that the basic reproduction ratio of the time-averaged delayed impulsive system may overestimate the spread risk of the virus.
讲座人简介：
白振国，西安电子科技大学澳门新葡平台app官网，副教授。于2011年在西安交通大学获得博士学位，2016年至2017年在加拿大纽芬兰纪念大学做访问学者。研究领域为生物数学及其应用动力系统。迄今为止，已在J. Math. Biol.，Math. Biosci., J. Theoret. Biol等杂志发表学术论文20余篇。目前主持国家自然科学基金面上项目和陕西省面上项目各一项。

讲座题目2：Propagation phenomena for periodic nonlocal dispersal cooperative systems
讲座时间：16:00-17:00
讲座人：包雄雄 副教授
讲座内容简介：
In this talk, we consider the spatial spreading speeds and traveling wave solution of cooperative systems in periodic habitats with nonlocal dispersal. We will give some results on principal eigenvalue, spreading speed and traveling wave solution for cooperative system and partially degenerate system.
讲座人简介：
包雄雄，长安大学理学院数信系副教授。2016年毕业于兰州大学澳门新葡平台app官网，获得理学博士学位。主要从事微分方程、动力系统及其应用研究，具体关注非齐次环境下反应扩散方程、非局部扩散方程及系统的行波解和非平面行波解的研究。目前主持国家自然科学基金青年1项与陕西省自然科学基金1项。以第一作者在JDE， JDDE， JMAA， PAMS，CPAA等学术期刊上发表论文10余篇。