Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel

Adnan, Adnan; Ali, Amir; Rahman, Mati ur; Arfan, Muhammad; Shah, Zahir; Deebani, Wejdan

doi:10.1016/j.aej.2022.01.030

Cited by 17 publications

(1 citation statement)

References 40 publications

(31 reference statements)

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“…For instance, FFOs have been used in the modelling and analysis of HIV infection [24]. The current pandemic COVID-19 has also been investigated with the help of FFOs [25]. Other dangerous and fatal disease like tumor has been studied under nonsingular fractal fractional operator [26].…”

Section: Introductionmentioning

confidence: 99%

Analysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative

Li¹,

Ahmad²,

Rahman³

et al. 2022

Phys. Scr.

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In this paper, the nonlocal operator with the Mittag-Leffler kernel is used to analyze a TB-HIV co-infection model with recurrent TB and exogenous reinfection. The non-negative invariant region and basic reproduction number of the proposed model are demonstrated. By using the Krasnosel- skii fixed result, we investigate that the TB-HIV co-infection model possesses at least one solution. We look at the existence of a unique solution using Banach’s fixed point theorem. Functional analysis is used to demonstrate Ulam-Hyres stability. The numerical solution of the given model is obtained using the Adams-Bashforth technique. We illustrate the achieved results by studying the co-infection of TB and HIV for different fractional and fractal orders.

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Section: Introductionmentioning

confidence: 99%

Analysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative

Li¹,

Ahmad²,

Rahman³

et al. 2022

Phys. Scr.

Self Cite

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Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination

et al. 2023

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This paper is concerned with the formulation and analysis of an epidemic model of COVID-19 governed by an eight-dimensional system of ordinary differential equations, by taking into account the first dose and the second dose of vaccinated individuals in the population. The developed model is analyzed and the threshold quantity known as the control reproduction number is obtained. We investigate the equilibrium stability of the system, and the COVID-free equilibrium is said to be locally asymptotically stable when the control reproduction number is less than unity, and unstable otherwise. Using the least-squares method, the model is calibrated based on the cumulative number of COVID-19 reported cases and available information about the mass vaccine administration in Malaysia between the 24th of February 2021 and February 2022. Following the model fitting and estimation of the parameter values, a global sensitivity analysis was performed by using the Partial Rank Correlation Coefficient (PRCC) to determine the most influential parameters on the threshold quantities. The result shows that the effective transmission rate , the rate of first vaccine dose , the second dose vaccination rate and the recovery rate due to the second dose of vaccination are the most influential of all the model parameters. We further investigate the impact of these parameters by performing a numerical simulation on the developed COVID-19 model. The result of the study shows that adhering to the preventive measures has a huge impact on reducing the spread of the disease in the population. Particularly, an increase in both the first and second dose vaccination rates reduces the number of infected individuals, thus reducing the disease burden in the population.

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Analysis and numerical simulation of fractional Bloch model arising in magnetic resonance imaging using novel iterative technique

Rahul,

Prakash

2024

Opt Quant Electron

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Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel

Cited by 17 publications

References 40 publications

Analysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative

Analysis of a TB and HIV co-infection model under Mittag-Leffler fractal-fractional derivative

Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination

Analysis and numerical simulation of fractional Bloch model arising in magnetic resonance imaging using novel iterative technique

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