
Global properties of a virus dynamics model with self-proliferation of CTLs
Author(s) -
Cuicui Jiang,
Huan Kong,
Guohong Zhang,
Kaifa Wang
Publication year - 2021
Publication title -
mathematics in applied sciences and engineering
Language(s) - English
Resource type - Journals
ISSN - 2563-1926
DOI - 10.5206/mase/13822
Subject(s) - basic reproduction number , virus , cytotoxic t cell , per capita , immune system , biology , virology , dynamics (music) , immunity , immunology , medicine , population , physics , genetics , environmental health , acoustics , in vitro
A viral infection model with self-proliferation of cytotoxic T lymphocytes (CTLs) is proposed and its global dynamics is obtained. When the per capita self-proliferation rate of CTLs is sufficient large, an infection-free but immunity-activated equilibrium always exists and is globally asymptotically stable if the basic reproduction number of virus is less than a threshold value, which means that the immune effect still exists though virus be eliminated. Qualitative numerical simulations further indicate that the increase of per capita self-proliferation rate may lead to more severe infection outcome, which may provide insight into the failure of immune therapy.