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新疆大学张龙教授学术报告通知
发布时间 : 2023-09-04     点击量:

报告题目:Some results on two types of delayed HIV virus-to-cell models with Beddington-DeAngelis incidence and reactivation of latent infection

报告人:张龙,新疆大学数学与系统科学学院教授

报告时间: 202395日 上午900- 1000

报告地点: 数学楼2-3


报告摘要: In this talk, two types of HIV virus-to-cell models with delays and Beddington-DeAngelis functional response, latent infection, and logistic growth are proposed respectively. Using the characteristic equations and analytical means, the principle reproduction number R0 on the local stability of infection-free and chronic infection equilibria of two models are established. Furthermore, by constructing suitable Lyapunov functionals and using LaSalle invariance principle, we show that if R0 1 the infection-free equilibrium is globally asymptotically stable, while if R0 > 1 the chronic -infection equilibrium is globally asymptotically stable. Comparing the effects between discrete and distributed delays on the stability of HIV virus-to-cell dynamical models, we can see that they could be same and different even opposite. For HIV virus-to-cell model with latent infection and logistic growth, we find the delays have great influence on stability of equilibrium, which could switch the state from stability to un-stability until bifurcation.


张龙教授简介: 新疆大学数学与系统科学学院教授,博士生导师。1997.9-2007.6 于新疆大学数学与系统科学学院完成本科、硕士、博士阶段学习,导师:滕志东教授。2010.9 -2011.9 国家留学基金委公派赴美国迈阿密大学从事博士后研究工作,合作导师:阮士贵教授。主要从事微分方程理论及其应用、生物数学模型研究。主持国家自然科学基金项目 4 项,自治区各类自然科学基金项目 9项。在“Math. Biosci.”“J. Theoret. Biol.”“Stud. Appl.Math.”“Nonl. Anal.:RWA”“Appl. Math. Lett.”“Int. J. Bifur. Chaos.”“J. Math. Anal. Appl.”“Appl. Math. Model.”等 SCI 收录期刊发表 70 余篇。获得自治区自然科学奖一等奖、自治区科技进步奖二等奖各1次;获自治区自然科学优秀论文奖一等奖 1 次,二等奖 2 次。入选自治区“天山英才”第二层次人选、自治区优秀青年科技创新人才称号。


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