Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629855 | Applied Mathematics and Computation | 2012 | 13 Pages |
Abstract
In this paper, a delayed differential equation model that describes infection of thymus with HIV-1 is considered. We first investigate the existence and stability of the equilibria and then we study the effect of the time delay on the stability of the infected equilibrium. Criteria are given to ensure that the infected equilibrium is asymptotically stable for all delay. Finally, by using a delay as a bifurcation parameter, the existence of Hopf bifurcation is investigated. Numerical simulations are presented to illustrate the analytical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P. Balasubramaniam, M. Prakash, Ju H. Park,