Analysis of time delay model for drug therapy on HIV dynamics

نویسندگان
Thippan, Jayakumar ID 1
Dhandapani, Prasantha Bharathi ID 2
Sivakumar, Vinoth ID 3
Baleanu, Dumitru ID 4

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

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

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

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

doi
10.22034/cmde.2020.34812.1589
چکیده

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.

کلیدواژه‌ها
HIV infection, Stability, Hopf Bifurcation, time delay