Open Access Journal

ISSN : 2456-1304 (Online)

International Journal of Engineering Research in Electronics and Communication Engineering(IJERECE)

Monthly Journal for Electronics and Communication Engineering

Open Access Journal

International Journal of Science Engineering and Management (IJSEM)

Monthly Journal for Science Engineering and Management
Call For Paper : Vol 11, Issue 03, March 2024

ISSN : 2456-1304 (Online)

Call for Paper

Vol 11, Issue 03, March 2024

Indexing

Stability Analysis of Delay Differential Systems with Delay Dependent Parameter for Some HIV Models

Author : R. Ramya 1 A. Anu Priyadharshini 2 R. Jeyananthan 3 K. Krishnan 4

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Date of Publication :20th April 2021

Abstract: In this article we study the HIV models in Delay differential Equations. The work focus on just one kind, namely those of the form using finding the bifurcation parameter in DDE for ensuing steady state using stability analysis with variable constant delays in HIV mathematical models. The objective is to ensure equilibrium by considering the parameters like local and global asymptotic states, bifurcation parameter with its sensitivity and finally concludes with the stability results. The disease free equilibrium is received with its global stability is enhanced using bifurcation and is depicted using results.

Reference :

    1.  Feng, Tian, et al. "Stability analysis of switched fractional-order continuous-time systems." Nonlinear Dynamics 102.4 (2020): 2467-2478.
    2. Bakodah, Huda O., and Abdelhalim Ebaid. "Exact solution of Ambartsumian delay differential equation and comparison with Daftardar-Gejji and Jafari approximate method." Mathematics 6.12 (2018): 331.
    3. Li, Mengmeng, and JinRong Wang. "Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations." Applied Mathematics and Computation 324 (2018): 254-265.
    4. Zúñiga-Aguilar, C. J., et al. "New numerical approximation for solving fractional delay differential equations of variable order using artificial neural networks." The European Physical Journal Plus 133.2 (2018): 1-16.
    5. kbar, Z. A. D. A., and Syed Omar Shah. "Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses." Hacettepe Journal of Mathematics and Statistics 47.5 (2018): 1196-1205.
    6.  Zhu, Quanxin. "Stability analysis of stochastic delay differential equations with Lévy noise." Systems & Control Letters 118 (2018): 62-68.
    7.  Cassidy, Tyler, Morgan Craig, and Antony R. Humphries. "A Recipe for State Dependent Distributed Delay Differential Equations." arXiv preprint arXiv:1811.05930 (2018).
    8. Li, Mengmeng, and JinRong Wang. "Finite time stability of fractional delay differential equations." Applied Mathematics Letters 64 (2017): 170-176.
    9. Singh, Harendra. "Numerical simulation for fractional delay differential equations." International Journal of Dynamics and Control (2020): 1-12.
    10. Krol, Katja. "Asymptotic properties of fractional delay differential equations." Applied Mathematics and Computation 218.5 (2011): 1515-1532.
    11. Bhalekar, Sachin B. "Stability analysis of a class of fractional delay differential equations." Pramana 81.2 (2013): 215-224
    12. Ding, Yongsheng, and Haiping Ye. "A fractional-order differential equation model of HIV infection of CD4+ T-cells." Mathematical and Computer Modelling 50.3- 4 (2009): 386-392.
    13.  Ye, Haiping, and Yongsheng Ding. "Nonlinear dynamics and chaos in a fractional-order HIV model." Mathematical Problems in Engineering 2009 (2009).
    14. Fan, Xiaofei, et al. "Finite-time stability analysis of reaction-diffusion genetic regulatory networks with time-varying delays." IEEE/ACM transactions on computational biology and bioinformatics 14.4 (2016): 868-879.

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