Stability of a discrete-time general delayed viral model with antibody and cell-mediated immune responses

Advances in Difference Equations

article

Elaiw, A. M.¹  Alshaikh, M. A.¹ 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University;Department of Mathematics, Faculty of Science, Taif University

关键词: Viral dynamics;    Latency;    Time delay;    Global stability;    Antibody;    Cell-mediated response;    Discrete-time model;    Lyapunov function;   

DOI  :  10.1186/s13662-020-2526-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

We propose a discrete-time viral model with antibody and cell-mediated immune responses. Two types of infected cells are incorporated into the model, namely latently infected and actively infected. The incidence rate of infection as well as the production and removal rates of all compartments are modeled by general nonlinear functions. The model contains three types of intracellular time delays. We utilize nonstandard finite difference (NSFD) method to discretize the continuous-time model. We prove that NSFD preserves the positivity and boundedness of the solutions of the model. Based on four threshold parameters, the existence of the five equilibria of the model is established. We perform global stability of all equilibria of the model by using Lyapunov approach. Numerical simulations are carried out to illustrate our theoretical results. The impact of time delay on the viral dynamics is established.

【 授权许可】

CC BY