Impact of adaptive immune response and cellular infection on delayed virus dynamics with multi-stages of infected cells

作     者：A.M.Elaiw N.H.AlShamrani 

作者机构：Department of MathematicsFaculty of Science King Abdulaziz UniversityP.O.Box 80203 Jeddah 21589Saudi Arabia Department of MathematicsFaculty of Science University of JeddahP.O.Box 80327 Jeddah 21589Saudi Arabia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2020年第13卷第1期

页      面：79-140页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：Deanship of Scientific Research King Abdu-laziz University 

主　　题：Viral and cellular infections global stability adaptive immune response Lyapunov function multi-staged infected cells. 

摘      要：In this investigation,we propose and analyze a virus dynamics model with multi-stages of infected *** model incorporates the effect of both humoral and cell-mediated immune *** consider two modes of transmissions,virus-to-cell and *** intracellular discrete-time delays have been integrated into the *** incidence rate of infection as well as the generation and removal rates of all compartments are described by general nonlinear *** derive five threshold parameters which determine the existence of the equilibria of the model under consideration.A set of conditions on the general functions has been established which is sufficient to investigate the global stability of the five equilibria of the *** global asymptotic stability of all equilibria is proven by utilizing Lyapunov function and LaSalle’s invariance *** theoretical results are illustrated by numerical simulations of the model with specific forms of the general functions.