title: Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis.
abstract: To understand joint effects of logistic growth in target cells and intracellular delay on viral dynamics in vivo, we carry out two-parameter bifurcation analysis of an in-host model that describes infections of many viruses including HIV-I, HBV and HTLV-I. The bifurcation parameters are the mitosis rate r of the target cells and an intracellular delay τ in the incidence of viral infection. We describe the stability region of the chronic-infection equilibrium E* in the two-dimensional (r, τ) parameter space, as well as the global Hopf bifurcation curves as each of τ and r varies. Our analysis shows that, while both τ and r can destabilize E* and cause Hopf bifurcations, they do behave differently. The intracellular delay τ can cause Hopf bifurcations only when r is positive and sufficiently large, while r can cause Hopf bifurcations even when τ = 0. Intracellular delay τ can cause stability switches in E* while r does not.
authors.affiliation: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People's Republic of China. mli@math.ualberta.ca
authors.forename: Michael Y
authors.initials: MY
authors.lastname: Li
authors.forename: Hongying
authors.initials: H
authors.lastname: Shu
mesh_terms: D050936:Basic Reproduction Number; D006801:Humans; D008938:Mitosis / Q000502:physiology*; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D014777:Virus Diseases / Q000821:virology*; D018406:Virus Physiological Phenomena