title: Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission.
abstract: HIV can infect cells via virus-to-cell infection or cell-to-cell viral transmission. These two infection modes may occur in a synergistic way and facilitate viral spread within an infected individual. In this paper, we developed an HIV latent infection model including both modes of transmission and time delays between viral entry and integration or viral production. We analysed the model by defining the basic reproductive number, showing the existence, positivity and boundedness of the solution, and proving the local and global stability of the infection-free and infected steady states. Numerical simulations have been performed to illustrate the theoretical results and evaluate the effects of time delays and fractions of infection leading to latency on the virus dynamics. The estimates of the relative contributions to the HIV latent reservoir and the virus population from the two modes of transmission have also been provided.
authors.affiliation: a College of Mathematics and Information Science , Xinyang Normal University , Xinyang , People's Republic of China.
authors.forename: Xia
authors.initials: X
authors.lastname: Wang
authors.affiliation: b College of Mathematics and Information Science , Shaanxi Normal University , Xi'an , People's Republic of China.
authors.forename: Sanyi
authors.initials: S
authors.lastname: Tang
authors.affiliation: a College of Mathematics and Information Science , Xinyang Normal University , Xinyang , People's Republic of China.
authors.forename: Xinyu
authors.initials: X
authors.lastname: Song
authors.affiliation: c Department of Mathematics and Statistics , Oakland University , Rochester , MI , USA.
authors.forename: Libin
authors.initials: L
authors.lastname: Rong
mesh_terms: D050936:Basic Reproduction Number; D015658:HIV Infections / Q000635:transmission* / Q000821:virology; D015497:HIV-1 / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D017735:Virus Latency
keywords: 34D23; 92B05; 92C37; 92D25; HIV infection; cell-to-cell transmission; latent reservoir; stability analysis; time delay