1. Global properties of a virus dynamics model with self-proliferation of CTLs
- Author
-
Kaifa Wang, Guohong Zhang, Cuicui Jiang, and Huan Kong
- Subjects
T57-57.97 ,Applied mathematics. Quantitative methods ,self-proliferation of ctls ,Dynamics (mechanics) ,chemical and pharmacologic phenomena ,Biology ,Viral infection ,Virus ,global stability ,Immune therapy ,Immune system ,Immunology ,Per capita ,Cytotoxic T cell ,viral infection ,Basic reproduction number ,lyapunov function - Abstract
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.
- Published
- 2021