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Analysis of time delay model for drug therapy on HIV dynamics

Publish Year: 1400
Type: Journal paper
Language: English
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JR_CMDE-9-2_016

Index date: 4 February 2023

Analysis of time delay model for drug therapy on HIV dynamics 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.

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Analysis of time delay model for drug therapy on HIV dynamics authors

Vinoth Sivakumar

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science,India.

Dumitru Baleanu

Cankaya University, Turkey. Institute of Space Sciences, Romania.

Jayakumar Thippan

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science,India.

Prasantha Bharathi Dhandapani

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science ,India.