An Investigation on Analytical Properties of Delayed Fractional Order HIV Model: A Case Study

Pitchaimani, M.; Devi, A. Saranya

doi:10.17537/2021.16.57

Cited by 2 publications

(2 citation statements)

References 41 publications

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“…Here, we provide a nonlinear model of HIV that is characterized by a series of five ODE's (Pitchaimani and Saranya Devi, 2021)…”

Section: Fractional Hiv Modelmentioning

confidence: 99%

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A robust study on fractional order HIV/AIDS model by using numerical methods

Roshan,

Ghosh,

Chauhan

et al. 2023

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PurposeThe fractional order HIV model has an important role in biological science. To study the HIV model in a better way, the model is presented with the help of Atangana- Baleanu operator which is in Caputo sense. Also, the characteristics of the solutions are described briefly with the help of the advance numerical techniques for the different values of fractional order derivatives. This paper aims to discuss the aforementioned objectives.Design/methodology/approachIn this work, Adams-Bashforth method and Euler method are used to get the solution of the HIV model. These are the important numerical methods. The comparison results also are described with the physical meaning of the solutions of the model.FindingsHIV model is analyzed under the view of fractional and AB derivative in Atangana-Baleanu-Caputo sense. The uniqueness of the solution is proved by using Banach Fixed point. The solution is derived with the help of Sumudu transform. Further, the authors employed fractional Adam-Bashforth method and Euler method to enumerate numerical results. The authors have used several values of fractional orders to present the outcomes graphically. The above calculations have been done with the help of MATLAB (R2016a). The numerical scheme used in the proposed study is valid and fruitful, and the same can be used to explore other real issues.Research limitations/implicationsThis investigation can be done for the real data sets.Practical implicationsThis paper aims to express the solution of the HIV model in a better way with the effect of non-locality, this work is very useful.Originality/valueIn this work, HIV model is developed with the help of Atangana- Baleanu operator in Caputo sense. By using Banach Fixed point, the authors proved that the solution is unique. Also, the solution is presented with the help of Sumudu transform. The behaviors of the solutions are checked for different values of fractional order derivatives with the physical meaning with help of the Adam-Bashforth method and the Euler method.

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“…Here, we provide a nonlinear model of HIV that is characterized by a series of five ODE's (Pitchaimani and Saranya Devi, 2021)…”

Section: Fractional Hiv Modelmentioning

confidence: 99%

“…of the efficacy of PI treatment ρ 3 Proportion of the efficacy of RTI treatment dDeath rate of the AID'S group Source(s):Pitchaimani and Saranya Devi (2021) …”

mentioning

confidence: 99%

A robust study on fractional order HIV/AIDS model by using numerical methods

Roshan,

Ghosh,

Chauhan

et al. 2023

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Fractional dynamical probes in COVID-19 model with control interventions: a comparative assessment of eight most affected countries

Pitchaimani

Devi

2022

Eur. Phys. J. Plus

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The ultimate aim of the article is to predict COVID-19 virus inter-cellular behavioral dynamics using an infection model with a quarantine compartment. Internal viral dynamics and stability attributes are thoroughly investigated around stable equilibrium states to probe possible ways in reducing rapid spread by incorporating fractional-order components into epidemic systems. Furthermore, a fractional optimal problem was built and studied with three control measures to restrict the widespread of COVID-19 infections and exhibit perfect protection. It is found that by following of control strategies can eradicate the infectives. Furthermore, the time frame of sixteen months has been divided into four short periods to grasp the pandemic, as the pandemic’s parameters change over time. Finally, using real data, we estimated the parameters of the model system and the expression of the basic reproduction number for the most affected countries, China, USA, UK, Italy, France, Germany, Spain, and Iran.

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An Investigation on Analytical Properties of Delayed Fractional Order HIV Model: A Case Study

Cited by 2 publications

References 41 publications

A robust study on fractional order HIV/AIDS model by using numerical methods

A robust study on fractional order HIV/AIDS model by using numerical methods

Fractional dynamical probes in COVID-19 model with control interventions: a comparative assessment of eight most affected countries

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