Stability Analysis for Viral Infection Model with Multitarget Cells, Beddington-DeAngelis Functional Response, and Humoral Immunity

Xinxin Tian and Jinliang Wang

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-11

Abstract:

We formulate a ( )-dimensional viral infection model with humoral immunity, classes of uninfected target cells and classes of infected cells. The incidence rate of infection is given by nonlinear incidence rate, Beddington-DeAngelis functional response. The model admits discrete time delays describing the time needed for infection of uninfected target cells and virus replication. By constructing suitable Lyapunov functionals, we establish that the global dynamics are determined by two sharp threshold parameters: and . Namely, a typical two-threshold scenario is shown. If , the infection-free equilibrium is globally asymptotically stable, and the viruses are cleared. If , the immune-free equilibrium is globally asymptotically stable, and the infection becomes chronic but with no persistent antibody immune response. If , the endemic equilibrium is globally asymptotically stable, and the infection is chronic with persistent antibody immune response.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2015/654507.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2015/654507.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:654507

DOI: 10.1155/2015/654507

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().