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

Mathematics in Applied Sciences and Engineering

Guohong Zhang¹  Cuicui Jiang²  Kaifa Wang³  Huan Kong⁴ 

[1] ;Army Medical University;Southwest University ;Southwest University;

关键词: viral infection;    self-proliferation of ctls;    lyapunov function;    global stability;   

DOI  :  10.5206/mase/13822

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown