title: An HIV infection model based on a vectored immunoprophylaxis experiment.
abstract: A medical experiment published in Nature has shown that humanized mice receiving the vectored immunoprophylaxis can be fully protected from HIV infection. In this paper, a mathematical model is proposed to investigate the viral dynamics under the effect of antibodies in the experiment. It is shown that the introduction of vectored immunoprophylaxis can induce the backward bifurcation and the ignorance of antibodies' loss due to their involvement with virus may result in the loss of backward bifurcation. By numerical simulations, it is found that the model also exhibits some other complicated dynamical behaviors. A subcritical Hopf bifurcation, a fold bifurcation of equilibria and a limit point bifurcation of limit cycles are detected, which induce five typical patterns of dynamical behaviors including the bistable phenomenon.
authors.affiliation: Key Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China.
authors.forename: Xiunan
authors.initials: X
authors.lastname: Wang
authors.forename: Wendi
authors.initials: W
authors.lastname: Wang
mesh_terms: D000818:Animals; D003198:Computer Simulation; D005822:Genetic Vectors / Q000235:genetics*; D015658:HIV Infections / Q000276:immunology* / Q000517:prevention & control*; D006801:Humans; D007114:Immunization; D051379:Mice; D018448:Models, Immunological; D009716:Numerical Analysis, Computer-Assisted