报告人：刘志军(湖北民族大学)

报告时间：2025年11月9日（星期日）16:00-17:30

报告地点：科技楼南楼711

报告摘要：In this work, we consider an age-structured TB model with pre- and post-exposure vaccinations, which is an extension of the models analyzed in [1,2] (Lietman et al. 2000, Bhunu et al. 2008). Especially, we present a systematic method for discussing the global stability, constructing a streamlined framework that facilitates both the optimal selection of kernel coefficients in Lyapunov functional and the rigorous verification of (semi-)negative definiteness for time derivatives. Additionally, we design a corresponding optimal problem to evaluate the impacts of pre- and post-exposure vaccinations on TB transmission dynamics. Analysis shows that, when the exposed population is too high, high-intensity post-exposure vaccination can be prioritized to rapidly reduce the number of infected populations and thus contain subsequent transmission.

报告人简介：刘志军，湖北民族大学betway西汉姆联官方网站二级教授，四川大学数学公司博士研究生导师，研究方向为微分方程理论及其应用。长期从事非线性生物动力系统的研究，主持国家自然科学基金3项、教育部科学技术研究重点项目1项、中国博士后科学基金1项、湖北省自然科学基金1项；以第一作者或通讯作者在国内外学术刊物上发表论文40余篇；获得湖北省自然科学奖三等奖1项（排序第2）。

邀请人：吴付科