报告题目： Threshold dynamics and optimal vaccination strategy of an age-structured tuberculosis model with general incidence

报告人：  刘志军 教授（湖北民族大学）

报告时间： 2026 年7月11日（星期六）上午 10:00-11:00

报告地点：数学科学学院114

校内联系人：衣凤岐 教授     联系电话：84708351-8518

报告摘要: This talk gives a novel age-structured tuberculosis (TB) model to evaluate the impact of pre- and post-exposure vaccinations on TB control, explicitly incorporating the waning of vaccine-induced efficacy over time. Mathematically, we establish a broadly applicable analytical frame-work 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：湖北民族大学副校长、二级教授，四川大学数学学院博士研究生导师。长期从事非线性生物动力系统和控制理论研究。主持在研或结题国家自然科学基金3项；以第一作者或通讯作者在国内外学术刊物上发表论文80余篇；部分研究成果获得湖北省自然科学奖三等奖1项（排序第二）。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。