Title：Dynamics of a new HIV model with the activation status of infected cells

Abstract：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.

Speaker：Zhipeng Qiu，Nanjing University of Science and Technology

Date：10:00am-11:00am  2024-5-19

Venue: Room 208，School of Mathematical Science

Organizer：School of Mathematical Science

Students and teachers are welcome.