title: A note on the global properties of an age-structured viral dynamic model with multiple target cell populations.
abstract: Some viruses can infect different classes of cells. The age of infection can affect the dynamics of infected cells and viral production. Here we develop a viral dynamic model with the age of infection and multiple target cell populations. Using the methods of semigroup and Lyapunov function, we study the global asymptotic property of the steady states of the model. The results show that when the basic reproductive number falls below 1, the infection is predicted to die out. When the basic reproductive number exceeds 1, there exists a unique infected steady state which is globally asymptotically stable. The model can be extended to study virus dynamics with multiple compartments or coinfection by multiple types of viruses. We also show that under some scenarios the age-structured model can be reduced to an ordinary differential equation system with or without time delays.
authors.affiliation: School of Mathematics and Statistics, Henan University, Kaifeng 475001, Henan, China. email: wslheda@163.com.
authors.forename: Shaoli
authors.initials: S
authors.lastname: Wang
authors.forename: Jianhong
authors.initials: J
authors.lastname: Wu
authors.forename: Libin
authors.initials: L
authors.lastname: Rong
mesh_terms: D000367:Age Factors; D054884:Host-Pathogen Interactions; D006801:Humans; D008954:Models, Biological; D014777:Virus Diseases / Q000453:epidemiology*; D018406:Virus Physiological Phenomena