Back to Search Start Over

Global dynamics in an age-structured HIV model with humoral immunity.

Authors :
Xie, Zhongzhong
Liu, Xiuxiang
Source :
International Journal of Biomathematics; Aug2021, Vol. 14 Issue 6, p1-33, 33p
Publication Year :
2021

Abstract

In this paper, we formulate an age-structured HIV model, in which the influence of humoral immunity and the infection age of the infected cells are considered. The model is governed by three ordinary differential equations and two first-ordered partial differential equations and admits three equilibria: disease-free, immune-inactivated and immune-activated equilibria. We introduce two important thresholds: the basic reproduction number R 0 and immune-activated reproduction number R 1 and further show the global stability of above three equilibria in terms of R 0 and R 1 , respectively. The numerical simulations are presented to illustrate our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17935245
Volume :
14
Issue :
6
Database :
Complementary Index
Journal :
International Journal of Biomathematics
Publication Type :
Academic Journal
Accession number :
152060975
Full Text :
https://doi.org/10.1142/S1793524521500479