题 目：DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF ATHREE-AGE-CLASS HIV/AIDS EPIDEMIC MODEL IN CHINA

主讲人：吴鹏博士

时 间：2021年11月18日（周四）14：50-15：50

地 点：6号学院楼402会议室

主办单位：数据科学学院 浙江省2011“数据科学与大数据分析协同创新中心”

摘要：

Based on the fact that HIV/AIDS manifests different transmissioncharacteristics and pathogenesis in different age groups, and the proportions ofyouth and elderly HIV infected cases in total are increasing in China, we clas sify the whole population into three age groups, youth (15-24), adult (25-49),and elderly (>=50), and establish a three-age-class HIV/AIDS epidemic modelto investigate the transmission dynamics of HIV/AIDS in China. We derivethe explicit expression for the basic reproduction number via the next gener ation matrix approach. Qualitative analysis of the model including the local,global behavior and permanence is carried out. In particular, numerical simu lations are presented to reinforce these analytical results and demonstrate HIVepidemiological discrepancy among different age groups. We also formulate an

optimal control problem and solve it using Pontryagins Maximum Principleand an efficient iterative numerical methods. Our numerical results of opti mal controls for the elderly group indicate that increasing the condom use anddecreasing the rate of the formerly HIV infected persons converted to AIDSpatients are important measures to control HIV/AIDS epidemic among elderlypopulation.

主讲人简介：

吴鹏，应用数学博士，研究方向是动力系统理论研究及其应用，主要研究内容是HIV/AIDS传染病动力学建模与研究（ODE,PDE建模、数值分析、最优控制问题）。以第一作者在Journal of FranklinInstitute、Applied Mathematical Modelling、Nonlinear Analysis: Real World Applications、Discrete and Continuous Dynamical Systems Series B、高校应用数学学报、系统科学与数学等应用数学和生物数学方面知名SCI及国内权威学术期刊发表论文10余篇。

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