报告题目：Multi-scale Modelling and applications on HIV/AIDS tra…

报 告 人：肖燕妮

时 间：2025年11月21日(周五)下午15:30-18:30

地 点：国交2号楼315会议室

简 介：Modelling on various scales becomes challenging in accurately describing the process of disease spreading. In this talk I shall briefly give an introduction to modelling approach at population/individual level. I shall give an idea of developing a multi-scale model that nests the within-host viral dynamics into the between-host transmission model, and then I present our recent work on the bidirectional coupling of between-host dynamics and within-host dynamics by including perceived risk and behavioral dynamics. The model can exhibit rich dynamic behaviors including the periodic oscillations of the solutions, the discordance of transmission dynamics and viral dynamics. It is also observed that new infections may increase with improving treatment efficacy. Further, I present main results on multi-objective optimal control problems, based on the single objective optimal control problem on between-host or within-host level. Finally I shall give concluding remarks on multi-scale modelli...

报告题目：生物系统胁迫响应机制建模与智能学习

报 告 人：唐三一

时 间：2025年11月21日（周五）下午15:30-18:30

地 点：国交2号楼315会议室

简 介：过度补偿是指个体或群体在压力后恢复至超过基线状态的现象，反映了生命系统对压力的动态适应策略，常常表现为药物毒理效应或水螅效应。报告通过对渔业资源管理模型的再思考，基于logistic和Ricker补偿性增长函数，提出了完全过度补偿模型，给出了药物毒理效应或水螅效应发生的阈值条件。当考虑一个群体分为两个具有本质差异的子群体（如疾病传播中的易感类与感染类），提出了部分过度补偿模型，揭示了疾病传染性触发水螅/药物毒理效应的内在机制。得到的具有明确生物意义的剂量效应曲线，能对包括植物、病虫害等众多领域中24组U型/倒U型实验数据进行拟合，具有普适性。所提出的过度补偿模型将过度补偿机制、药物毒理效应、水螅效应和剂量效应曲线这四个关键词统一起来，理论上得到了过度补偿机制诱导水螅和药物毒理效应的三个必要条件：补偿性增长、强大的再生能力、弱或中等强度的有害抑制。最后介绍在全湖实验中超补偿机制智能学习的应用。

报告题目：Solutions with one dimensional concentration for a two…

报 告 人：杨军

时 间：2025年11月28日 （周五）下午15:00-16:00

地 点：国交2号楼315会议室

简 介：We study a Gross-Pitaevskii equation with a trap potential under the unit mass constraint, which is used to describe Bose-Einstein condensates with attractive interaction. First, we provide some necessary conditions for the existence of a solution concentrating at a curve. Next, under stationary and non-degeneracy assumptions on the curve with respect to an auxiliary weighted length involving the trap potential, we construct a solution with concentration directed along the curve, provided that the parameter $-\lambda \to +\infty$. Our result improves upon very recent results by Q.