Analysis of time delay model for drug therapy on HIV dynamics

Sivakumar, Vinoth; Baleanu, Dumitru; Thippan, Jayakumar; Dhandapani, Prasantha Bharathi

doi:10.22034/cmde.2020.34812.1589

Analysis of time delay model for drug therapy on HIV dynamics

Document Type : Research Paper

Authors

¹ Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science,India.

² Cankaya University, Turkey. Institute of Space Sciences, Romania.

³ Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science ,India.

10.22034/cmde.2020.34812.1589

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