Li, ChunyangDong, XiuWang, Jinliang2023-04-122023-04-122022-02-28Li, C., Dong, X., & Wang, J. (2022). Stability analysis of an age-structured viral infection model with latency. <i>Electronic Journal of Differential Equations, 2022</i>(16), pp. 1-26.1072-6691https://hdl.handle.net/10877/16563Age structure and cell-to-cell transmission are two major infection mechanisms in modeling spread of infectious diseases. We propose an age-structured viral infection model with latency, infection age-structure and cell-to-cell transmission. This paper aims to reveal the basic reproduction number and prove it to be a sharp threshold determining whether the infection dies out or not. Mathematical analysis is presented on relative compactness of the orbit, existence of a global attractor, and uniform persistence of system. We further investigate local and global stability of the infection-free and infection equilibrium.Text26 pages1 file (.pdf)enAttribution 4.0 InternationalAge-structured modelCell-to-cell transmissionUniform persistenceGlobal stabilityLyapunov functionBasic reproduction numberArticle