A stochastic HIV infection model with T-cell proliferation and CTL immune response

Yan Wang, Daqing Jiang, Tasawar Hayat and Bashir Ahmad

Applied Mathematics and Computation, 2017, vol. 315, issue C, 477-493

Abstract: A stochastic HIV infection model with T-cell proliferation and CTL immune response is formulated to investigate the effect of environmental fluctuations on the HIV viral dynamics. We obtain that the model solution is positive and global, and analyze the extinction of the model. We also derive a critical condition R0s, when R0s is greater than one, the existence of ergodic stationary distribution of the model solution is established by constructing suitable Lyapunov functions. Numerical simulations are performed to investigate the effect of white noises on model behavior, we investigate that the small intensities of white noise can maintain the irregular recurrence of HIV virus and CTL immune response, while the larger ones may be help to the elimination of the virus and CTL immune response, and the medium intensities of white noises may cause both the persistence and extinction on model dynamics behavior.

Keywords: HIV infection; CTL immune response; Stochastic differential equation; Extinction; Stationary distribution (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (17)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300317305234
Full text for ScienceDirect subscribers only

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:eee:apmaco:v:315:y:2017:i:c:p:477-493

DOI: 10.1016/j.amc.2017.07.062

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().