Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630233 | Applied Mathematics and Computation | 2012 | 10 Pages |
Abstract
In this paper, we study a delayed six-dimensional human immunodeficiency virus (HIV) model with Cytotoxic T Lymphocytes (CTLs) immune response. Our model describes the interaction of HIV with two target cells: CD4+ T cells and macrophages. We derive that the global asymptotic attractivity of the model is completely determined by the basic reproduction number R0R0 and the immune reproduction number R0∗ for the viral infection. By constructing Lyapunov functionals, we have shown that the infection-free equilibrium E0E0, the immune-free equilibrium E1E1 and the chronic-infection equilibrium E2E2 are globally asymptotically attractive when R0⩽1,R0∗⩽1
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xia Wang, Ahmed Elaiw, Xinyu Song,