题目：Finite-time stability and optimal impulsive control for age-structured HIV model with time-varying delay and Levy noise
时间：2022年3月26日（周六），10:30-12:00
地点：腾讯会议：443-203-943
主讲人: 张启敏教授（宁夏大学数学统计学院）
摘要：In this talk，we investigate the finite-time stability and optimal impulsive control for stochastic age-structured HIV model with time-varying delay. A stochastic noise is introduced by the Levy process to describe phenomena that a continuous stochastic process (e.g., white noise) cannot describe. By employing the comparison theorem and the bounded impulsive interval method, we obtain the sufficient conditions of finite-time stability for a stochastic HIV system. The effects of impulse, delay and Levy noise on the finite-time stability are considered in our sufficient conditions. Furthermore, optimal impulsive control is studied to seek the optimal and cost-effective strategy for HIV treatments, which shows that control strategies play an important role in HIV virus transmissions. Numerical simulations are performed to illustrate the validity of our results.
主讲人简介：宁夏大学数学统计学院二级教授，博士研究生导师，宁夏回族自治区313人才。中国生物数学学会常务理事，中国人口学会理事和宁夏统计学会理事。长期以来一直从事随机种群模型、流行病模型及生态模型动力学、最优控制及数值计算理论研究工作。主持国家自然基金4项、国家社科基金1项和省部级项目6项。在科学出版社出版学术专著3部，发表论文100余篇，其中SCI检索70余篇。
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