title: Global Stability of Delayed Viral Infection Models with Nonlinear Antibody and CTL Immune Responses and General Incidence Rate.
abstract: The dynamical behaviors for a five-dimensional viral infection model with three delays which describes the interactions of antibody, cytotoxic T-lymphocyte (CTL) immune responses, and nonlinear incidence rate are investigated. The threshold values for viral infection, antibody response, CTL immune response, CTL immune competition, and antibody competition, respectively, are established. Under certain assumptions, the threshold value conditions on the global stability of the infection-free, immune-free, antibody response, CTL immune response, and interior equilibria are proved by using the Lyapunov functionals method, respectively. Immune delay as a bifurcation parameter is further investigated. The numerical simulations are performed in order to illustrate the dynamical behavior of the model.
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Xinjiang, Urumqi 830046, China.
authors.forename: Hui
authors.identifier: 0000-0003-3309-697X
authors.initials: H
authors.lastname: Miao
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Xinjiang, Urumqi 830046, China.
authors.forename: Zhidong
authors.identifier: 0000-0002-4285-3277
authors.initials: Z
authors.lastname: Teng
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Xinjiang, Urumqi 830046, China.
authors.forename: Zhiming
authors.identifier: 0000-0002-6570-6325
authors.initials: Z
authors.lastname: Li
mesh_terms: D000906:Antibodies / Q000276:immunology; D003198:Computer Simulation; D006801:Humans; D007107:Immune System; D015994:Incidence; D018448:Models, Immunological; D013602:T-Lymphocytes, Cytotoxic / Q000276:immunology*; D014777:Virus Diseases / Q000276:immunology*; D014779:Virus Replication
chemical_list: D000906:Antibodies