Jinliang Wang, Xinxin Tian
Abstract:
The global stability for a delayed HBV infection model with CTL immune
response is investigated. We show that the global dynamics is
determined by two sharp thresholds, basic reproduction number
and CTL immune-response reproduction number
. When
,
the infection-free equilibrium is globally asymptotically stable, which
means that the viruses are cleared and immune is not active;
when
, the CTL-inactivated infection equilibrium
exists and is globally asymptotically stable, which means that CTLs immune
response would not be activated and viral infection becomes chronic;
and when
, the CTL-activated infection equilibrium exists and
is globally asymptotically stable, in this case the infection causes
a persistent CTLs immune response. Our model is formulated by
incorporating
a Cytotoxic T lymphocytes (CTLs) immune response to recent work
[Gourley, Kuang, Nagy, J. Bio. Dyn., 2(2008), 140-153]
to model the role in antiviral by attacking virus infected cells.
Our analysis provides a quantitative understandings of HBV replication
dynamics in vivo and has implications for the optimal timing of drug
treatment and immunotherapy in chronic HBV infection.
Submitted March 4, 2013. Published April 11, 2013.
Math Subject Classifications: 34K20, 92D25.
Key Words: HBV infection model; delay; CTLs; global stability.
Show me the PDF file (222 KB), TEX file, and other files for this article.
Jinliang Wang School of Mathematical Science, Heilongjiang University Harbin 150080, China email: jinliangwang@yahoo.cn | |
Xinxin Tian School of Mathematical Science, Heilongjiang University Harbin 150080, China email: xinxintian@yahoo.cn |
Return to the EJDE web page