报告题目：Dynamics of a new HIV model with the activation status of infected cells

报告简介：We develop a new mathematical model that structures the population of infected cells continuously according to their activation status. The effectiveness of antiretroviral drugs in blocking cell-to-cell viral transmission decreases as the level of activation of infected cells increases because the more virions are transferred from infected to uninfected cells during cell-to-cell transmission, the less effectively the treatment is able to inhibit the transmission. The basic reproduction number R0 of the model is shown to determine the existence and stability of the equilibria. Using the principal spectral theory and comparison principle, we show that the infection-free equilibrium is locally and globally asymptotically stable when R0 is less than one. By constructing Lyapunov functional, we prove that the infected equilibrium is globally asymptotically stable when R0 is greater than one. Numerical investigation shows that even when treatment can completely block cell-free virus infection, virus can still persist due to cell-to-cell transmission. The random switch between infected cells with different activation levels can also contribute to the replenishment of the latent reservoir, which is considered as amajor barrierto viral eradication.Thisstudy provides a newmodeling framework to study the observations, such as the low viral load persistence, extremely slow decay of latently infected cells and transient viral load measurements above the detection limit, in HIV-infected patients during suppressive antiretroviral therapy.

报 告 人：邱志鹏，南京理工大学数学与统计学院教授、博士生导师、江阴校区基础教学与实验中心主任。主要从事常微分方程、动力系统与生物数学的研究工作，正在或完成主持国家自然科学基金4项，国家自然科学基金国际合作基金1项，教育部留学回国基金1项，参加国家自然科学基金面上项目2项和江苏省自然科学基金青年项目1项，目前已在Bull. Math. Biol., Math. Biosci., J. Diff. Equs., SIAM J. Appl. Math., J. Math. Biol., J. Theor. Biol.等期刊上发表论文多篇，曾先后访问过美国Purdue大学、Florida大学，意大利Trento大学、加拿大York大学和Alberta大学。

报告时间：2024年5月19日（周日）10:00—11:00

报告地点：数学科学学院56号楼208

主办单位：数学科学学院

联系人：冯涛

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