Global properties of virus dynamics with B-cell impairment

Open Mathematics

Hobiny Aatef D.¹  Elaiw Ahmed M.¹  Alshehaiween Safiya F.¹ 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia;

关键词: virus dynamics;    global stability;    lyapunov function;    b-cell impairment;    34d20;    34d23;    37n25;    92b05;   

DOI  :  10.1515/math-2019-0113

来源: DOAJ

【 摘 要 】

In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified. The models admit two equilibria which are determined by the basic reproduction number R0. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle’s invariance principle. The theoretical results are illustrated by numerical simulations.

【 授权许可】

Unknown