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Analysis of time delay model for drug therapy on HIV dynamics | ||
| Computational Methods for Differential Equations | ||
| مقاله 16، دوره 9، شماره 2، تیر 2021، صفحه 577-588 اصل مقاله (775.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.34812.1589 | ||
| نویسندگان | ||
| Vinoth Sivakumar* 1؛ Dumitru Baleanu2؛ Jayakumar Thippan1؛ Prasantha Bharathi Dhandapani3 | ||
| 1Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science,India. | ||
| 2Cankaya University, Turkey. Institute of Space Sciences, Romania. | ||
| 3Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science ,India. | ||
| 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 | ||
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