title: Global stability analysis of humoral immunity virus dynamics model including latently infected cells.
abstract: In this paper, we propose and analyse a virus dynamics model with humoral immune response including latently infected cells. The incidence rate is given by Beddington-DeAngelis functional response. We have derived two threshold parameters, the basic infection reproduction number R₀ and the humoral immune response activation number R₁ which completely determined the basic and global properties of the virus dynamics model. By constructing suitable Lyapunov functions and applying LaSalle's invariance principle we have proven that if R₀ ≤ 1, then the infection-free equilibrium is globally asymptotically stable (GAS), if R₁ ≤ 1 < R₀, then the chronic-infection equilibrium without humoral immune response is GAS, and if R₁ > 1, then the chronic-infection equilibrium with humoral immune response is globally asymptotically stable. These results are further illustrated by numerical simulations.
authors.affiliation: a Department of Mathematics, Faculty of Science , King Abdulaziz University , PO Box 80203 , Jeddah 21589 , Saudi Arabia.
authors.forename: A M
authors.initials: AM
authors.lastname: Elaiw
mesh_terms: D050936:Basic Reproduction Number; D003198:Computer Simulation; D015658:HIV Infections / Q000276:immunology / Q000821:virology; D006801:Humans; D056724:Immunity, Humoral / Q000276:immunology*; D015994:Incidence; D008954:Models, Biological; D013602:T-Lymphocytes, Cytotoxic / Q000821:virology; D014777:Virus Diseases / Q000276:immunology / Q000821:virology*; D017735:Virus Latency
keywords: 34D20; 34D23; 37N25; 92D30; Lyapunov function; global stability; immune response; virus infection