A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative

Shatanawi, Wasfı; Abdo, Mohammed S.; Abdulwasaa, Mansour A.; Shah, Kamal; Panchal, Satish K.; Kawale, Sunil; Ghadle, Kirtiwant P.

doi:10.1016/j.rinp.2021.104739

Cited by 19 publications

(10 citation statements)

References 41 publications

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“…The existence and uniqueness of the epidemiological model has been studied in (Shah et al 2023). Some authors investigated different TB models under the concept of the fractional derivative with simulation in (Shatanawi et al 2021). Authors (Nawaz et al 2022) established some computational and theoretical analysis for TB model by using ABC derivative of fractional order.…”

Section: Theory and Applications In Applied Sciences And Engineeringmentioning

confidence: 99%

Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

Shah

Sinan

Abdeljawad

et al. 2023

Chaos Theory and Applications

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In this research work, we investigate a dynamical systems under piecewise equations with fractional order derivative (FOD). The respective derivative is taken in piecewise to investigate the sudden or abrupt changes occurs in the dynamics of the proposed model. The respective model represent an infectious disease due to corona virus. We establish a detail analysis about sensitivity of the model. Further, we develop a numerical scheme to simulate the model against various fractional order. The concerned results are displayed graphically also.

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Section: Theory and Applications In Applied Sciences And Engineeringmentioning

confidence: 99%

Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

Shah

Sinan

Abdeljawad

et al. 2023

Chaos Theory and Applications

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“…Due to the cross-over behavior, the fractional operator having Mittag-Leffler kernel i.e., Atangana-Baleanu fractional differential operator can best explain the complex dynamics of epidemiological problems ( Abdullah et al, 2021 ; S. Ahmad et al, 2020 ; Z. Ahmad et al, 2020a ; Arfan et al, 2021 ; Naik et al, 2020 ; Qureshi et al, 2019a , Qureshi et al, 2019b ; Qureshi and Yusuf, 2019b , Qureshi and Yusuf, 2019a ; Shah et al, 2020 ; Shatanawi et al, 2021 ). Qureshi et al predicted the transmission of varicella zoster virus via different fractional operators i.e., Caputo, Caputo Fabrizio (CF) and Atangana-Baleanu (AB) fractional operators ( Qureshi et al, 2019b ).…”

Section: Introductionmentioning

confidence: 99%

“…In the same way, Arfan et al utilized the generalized Euler method for the results of fractional order COVID-19 model to predict the spread of COVID-19 in Pakistan ( Arfan et al, 2021 ). Shatanawi et al analyzed the spread of TB in Yemen for the period between 2000-2019 by using generalized AB fractional operator ( Shatanawi et al, 2021 ). Shah et al forecast the spread of COVID-19 using factional derivative by implementing Adomian decomposition technique ( Shah et al, 2020 ).…”

Section: Introductionmentioning

confidence: 99%

A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel

Ahmad

El-Kafrawy

Alandijany

et al. 2022

Computational Biology and Chemistry

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“…The DFE was not globally unstable due to the existence of the forward bifurcation at a threshold parameter equal to one. It is important to also mention that fractional calculus has been adopted recently to identify the salient trends that might have been missed in the classic calulus (see [20,21,22,23,24]).…”

Section: Introductionmentioning

confidence: 99%

Male Circumcision: A Means to Reduce HIV Transmission between Truckers and Female Sex Workers in Kenya

Kimulu

Mutuku

Mwalili

et al. 2022

J. Math. Anal. Model.

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Kenya records over 1.5 million cases of HIV-infected people with a prevalence of 4.8% among adultsin 2019, ranking Kenya as the seventh-largest HIV population in the world. A recent study showed that55.9% of Kenyan truckers pay for sex in while 46.6% had a regular partner along their trucking route inaddition to a wife or girlfriend at home. The complexity in the sexual network of Truckers, which can be aconduit for the widespread of HIV, necessitated the need to better understand the dynamics of transmissionof HIV/AIDS between truckers and female sex workers. In this study, a model is formulated for HIV/AIDSdynamics along the Northern corridor highway in Kenya. The reproduction number, disease-free equilibriumand endemic equilibrium points were determined and their stabilities were also determined using the nextgenerationmatrix method. The disease-free equilibrium is stable when R0u < 1, R0c < 1 and R0f < 1 whilethe endemic equilibrium point is stable when R0u > 1, R0c > 1 and R0f > 1. It is found that circumcision canbe used as an intervention to minimize the infection of HIV among truckers and female sex workers.

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A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative

Cited by 19 publications

References 41 publications

Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel

Male Circumcision: A Means to Reduce HIV Transmission between Truckers and Female Sex Workers in Kenya

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