Global stability for an age-structured multistrain virus dynamics model with humoral immunity

2019 ◽  
Vol 62 (1-2) ◽  
pp. 239-279
Author(s):  
Tsuyoshi Kajiwara ◽  
Toru Sasaki ◽  
Yoji Otani
Keyword(s):  
Global Stability ◽  
Humoral Immunity ◽  
Virus Dynamics ◽  
Dynamics Model ◽  
Age Structured

scholarly journals Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function

2015 ◽  
Vol 12 (4) ◽  
pp. 859-877 ◽  
Author(s):  
Yu Yang ◽  
◽  
Shigui Ruan ◽  
Dongmei Xiao ◽  
◽  
...  
Keyword(s):  
Global Stability ◽  
Virus Dynamics ◽  
Dynamics Model ◽  
Age Structured

Global stability of a delayed virus dynamics model with multi-staged infected progression and humoral immunity

2016 ◽  
Vol 09 (04) ◽  
pp. 1650060
Author(s):  
A. M. Ełaiw ◽  
N. H. AlShamrani
Keyword(s):  
Global Stability ◽  
Humoral Immunity ◽  
Removal Rate ◽  
Infection Model ◽  
Target Cells ◽  
Virus Dynamics ◽  
Nonlinear Functions ◽  
Dynamics Model ◽  
Discrete Delays ◽  
Infected Cells

In this paper, we propose a nonlinear virus dynamics model that describes the interactions of the virus, uninfected target cells, multiple stages of infected cells and B cells and includes multiple discrete delays. We assume that the incidence rate of infection and removal rate of infected cells are given by general nonlinear functions. The model can be seen as a generalization of several humoral immunity viral infection model presented in the literature. We derive two threshold parameters and establish a set of conditions on the general functions which are sufficient to establish the existence and global stability of the three equilibria of the model. We study the global asymptotic stability of the equilibria by using Lyapunov method. We perform some numerical simulations for the model with specific forms of the general functions and show that the numerical results are consistent with the theoretical results.

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