Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640591 | Journal of Computational and Applied Mathematics | 2010 | 16 Pages |
Abstract
In this paper, considering full Logistic proliferation of CD4+ T cells, we study an HIV pathogenesis model with antiretroviral therapy and HIV replication time. We first analyze the existence and stability of the equilibrium, and then investigate the effect of the time delay on the stability of the infected steady state. Sufficient conditions are given to ensure that the infected steady state is asymptotically stable for all delay. Furthermore, we apply the Nyquist criterion to estimate the length of delay for which stability continues to hold, and investigate the existence of Hopf bifurcation by using a delay ττ as a bifurcation parameter. Finally, numerical simulations are presented to illustrate the main results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhixing Hu, Xiangdong Liu, Hui Wang, Wanbiao Ma,