Global properties of a virus dynamics model with self-proliferation of CTLs

• Main Authors: Cuicui Jiang, Huan Kong, Guohong Zhang, Kaifa Wang
• Format: Article
• Language: English
• Published: Western Libraries 2021-05-01
• Series: Mathematics in Applied Sciences and Engineering
• Subjects: viral infection; self-proliferation of ctls; lyapunov function; global stability
• Online Access: https://ojs.lib.uwo.ca/index.php/mase/article/view/13822

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.