报告题目：Optimal strategies of the age-specific vaccination and antiviral treatment against influenza

报告人：杨俊元

报告时间：2023年12月15日（周五）16:00开始

报告地点：数学楼315会议室

报告摘要：Influenza, caused by any of several human influenza viruses, is a highly contagious respiratory disease and it produces millions of cases worldwide. Vaccination and antiviral treatment are two main biomedical interventions for curtailing influenza spread. In this talk, an age-structured SVIR influenza model is used to take account for the efficacy of vaccination and antiviral treatment. Next, the stability of the disease-free equilibrium is captured by analyzing the root distributions of the characteristic equation and the existence of the endemic equilibrium is established by employing a generalized fixed point theorem. Moreover, the consideration of the availability of medical resources is settled as an optimal control problem to investigate the cost-effective interventions for the guidelines of optimal policy selection. Numerical simulations show that the outcomes of optimal control are characterized by the cost of control strategies, age structured of hosts and the different measures of influenza intervention. As a result of consequences, we recommend projecting vaccination at the early period and the implement of therapy at the entire infectious course, to slow down or eradicate influenza transmission.

报告人简介：杨俊元，教授，博士生导师，研究方向为传染病动力学、博弈论与复杂网络。现主持教育部人文社科项目1项,主持完成国家自然科学基金3项，国家留学基金1项，省部级项目7项。在《Journal of Differential Equations》、《Journal of Mathematical Biology》、《Mathematical Biosciences》、《Nonlinear Analysis:Real World Applications》、《Chaos》等国内外重要学术期刊发表学术论文100余篇，被SCI收录90余篇（含通信作者），其中2区以上期刊发表论文50余篇，总引用900多次。在传染病动力学、博弈论与复杂网络传播动力学方面做出了卓有成效的工作，受到国内外学者广泛的关注。目前是Plos One和河南师范大学学报自然科学版编委。先后获得山西省优秀青年学术带头人、山西省高校131领军人才等。