Abstract:
In this manuscript, we design a fractional order delay differential equation model for HIV transmission with the implementation of three distinct therapies for three different infectious stages. We investigate the positivity of solutions, analyze the stability properties, followed by Hopf bifurcation analysis. To probe the parameters that expedite the spread of infection, uncertainty and sensitivity analysis were performed. The numerical review was carried out to substantiate our theoretical results. Our proposed model parameters have been calibrated to fit yearly data from Afghanistan, Australia, France, Italy, Netherlands and New Zealand.
Key words:
fractional order system, HIV, Hopf bifurcation, stability, time delay.
Funding agency
The University of Madras has supported this work through University Research Fellowship to Ms. A. Saranya Devi.
Received 12.12.2020, 20.04.2021, Published 12.05.2021
Document Type:
Article
Language: English
Citation:
M. Pitchaimani, A. Saranya Devi, “An investigation on analytical properties of delayed fractional order HIV model: a case study”, Mat. Biolog. Bioinform., 16:1 (2021), 57–85
\Bibitem{PitSar21}
\by M.~Pitchaimani, A.~Saranya~Devi
\paper An investigation on analytical properties of delayed fractional order HIV model: a case study
\jour Mat. Biolog. Bioinform.
\yr 2021
\vol 16
\issue 1
\pages 57--85
\mathnet{http://mi.mathnet.ru/mbb458}
\crossref{https://doi.org/10.17537/2021.16.57}
Linking options:
https://www.mathnet.ru/eng/mbb458
https://www.mathnet.ru/eng/mbb/v16/i1/p57
This publication is cited in the following 2 articles:
Tasmia Roshan, Surath Ghosh, Ram P. Chauhan, Sunil Kumar, “A robust study on fractional order HIV/AIDS model by using numerical methods”, EC, 40:7/8 (2023), 1545
M. Pitchaimani, A. Saranya Devi, “Fractional dynamical probes in COVID-19 model with control interventions: a comparative assessment of eight most affected countries”, Eur. Phys. J. Plus, 137:3 (2022)
Citation in format AMSBIB
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