title: A within-host virus model with periodic multidrug therapy.
abstract: This paper is devoted to the investigation of the effects of periodic drug treatment on a standard within-host virus model. We first introduce the basic reproduction ratio for the model, and then show that the infection free equilibrium is globally asymptotically stable, and the disease eventually disappears if R0<1, while there exists at least one positive periodic state and the disease persists when R0>1. We also consider an optimization problem by shifting the phase of these drug efficacy functions. It turns out that shifting the phase can certainly affect the stability of the infection free steady state. A numerical study is performed to illustrate our analytic results.
authors: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C 5S7, Canada. zhenw@mun.ca
authors: Zhen
authors: Z
authors: Wang
authors: Xiao-Qiang
authors: XQ
authors: Zhao
mesh_terms: D050936:Basic Reproduction Number; D003198:Computer Simulation; D006678:HIV / Q000302:isolation & purification*; D015658:HIV Infections / Q000188:drug therapy* / Q000276:immunology / Q000821:virology*; D017320:HIV Protease Inhibitors / Q000008:administration & dosage* / Q000493:pharmacokinetics; D008954:Models, Biological; D018894:Reverse Transcriptase Inhibitors / Q000008:administration & dosage* / Q000493:pharmacokinetics
chemical_list: D017320:HIV Protease Inhibitors; D018894:Reverse Transcriptase Inhibitors