报告题目：具有暴露前和暴露后疫苗干预的年龄结构TB模型
报 告 人：刘志军教授
报告时间：2026年2月8日（星期日）上午10:10-10:50
报告地点：管理学院四楼第二会议室
报告摘要：This work proposes a novel age-structured tuberculosis (TB) model to evaluate the impact of preand post-exposure vaccinations on TB control, explicitly incorporating the waning of vaccineinduced efficacy over time. Mathematically, we establish a broadly applicable analytical framework for rigorously proving the global stability of steady states in the age-structured model. Furthermore, we formulate an optimal control problem with time-dependent vaccination schedules, identifying cost-effective vaccination strategies under realistic resource constraints. Epidemiologically, our analysis indicates that a combined vaccination strategy is most effective overall. While pre-exposure vaccination proves superior for long-term outbreak control, high-intensity post-exposure vaccination is crucial in high-exposure scenarios to rapidly reduce infected cases. This offers valuable insights for evaluating vaccination-based prevention and control strategies.
报告人简介:刘志军，湖北民族大学数统学院二级教授，四川大学数学学院博士研究生导师。长期从事微分方程理论及其应用学术研究。主持在研国家自然科学基金面上项目1项，主持完成国家自然科学基金面上项目、国家自然科学基金地区项目、教育部科学技术研究重点项目、中国博士后科学基金、湖北省自然科学基金各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50余篇；获得湖北省自然科学奖三等奖1项（排序第2）。先后荣获湖北省新世纪高层次人才工程人选、湖北五一劳动奖章、享受湖北省政府专项津贴专家等荣誉称号。
