Title of article
Analysis of time delay model for drug therapy on HIV dynamics
Author/Authors
Sivakumar ، Vinoth Department of Mathematics - Sri Ramakrishna Mission Vidyalaya College of arts and Science , Baleanu ، Dumitru Cankaya University , Thippan ، Jayakumar Department of Mathematics - Sri Ramakrishna Mission Vidyalaya College of arts and Science , Dhandapani ، Prasantha Bharathi Department of Mathematics - Sri Ramakrishna Mission Vidyalaya College of arts and Science
From page
577
To page
588
Abstract
We present and investigate the delayed model of HIV infection for drug therapy. The stability of the equilibrium states, disease free and infected equilibrium states are derived and the existence of Hopf bifurcation analysis is studied. We show that the system is asymptotically stable and the stability is lost in a range due to length of the delay, then Hopf bifurcation occurs when τ exceeds the critical value. At last numerical simulations are provided to verify the theoretical results.
Keywords
HIV infection , Stability , Hopf Bifurcation , time delay
Journal title
Computational Methods for Differential Equations
Journal title
Computational Methods for Differential Equations
Record number
2589755
Link To Document