Analysis of Time Delay Model for Drug Therapy on Hiv Dynamics
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Date
2021
Journal Title
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Volume Title
Publisher
Univ Tabriz
Open Access Color
Green Open Access
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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 tau exceeds the critical value. At last numerical simulations are provided to verify the theoretical results.
Description
Dhandapani, Prasantha Bharathi/0000-0002-3152-1592
Keywords
Hiv Infection, Stability, Hopf Bifurcation, Time Delay, Medical epidemiology, Qualitative investigation and simulation of models involving functional-differential equations, Stationary solutions of functional-differential equations, Stability theory of functional-differential equations, Hopf bifurcation, stability, HIV infection, time delay, Periodic solutions to functional-differential equations
Fields of Science
Citation
Sivakumar, Vinoth...et al. (2021). "Analysis of time delay model for drug therapy on HIV dynamics", Computational Methods for Differential Equations, Vol. 9, No. 2, pp. 577-588.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
N/A
Source
Volume
9
Issue
2
Start Page
577
End Page
588
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Scopus : 1
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