Study of fractional order dynamics of nonlinear mathematical model

Shah, Kamal; Ali, Amjad; Zeb, Salman; Khan, Aziz; Alqudah, Manar A.; Abdeljawad, Thabet

doi:10.1016/j.aej.2022.04.039

Cited by 41 publications

(16 citation statements)

References 47 publications

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“…For modelling bacterial infections, specifically, researchers also employ FOs. The authors in [37] assessed the Salmonella bacterial infection using fractional operators. The authors in [38] using nonsingular fractional operators, the risky bacterial infection (Dengue fever) was studied.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Ahmad

Qiu

Rahman

2022

mmnsa

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For the sake of human health, it is crucial to investigate infectious diseases including HIV/AIDS, hepatitis, and others. Worldwide, the recently discovered new coronavirus (COVID-19) poses a serious threat. The experimental vaccination and different COVID-19 strains found around the world make the virus' spread unavoidable. In the current research, fractional order is used to study the dynamics of a nonlinear modified COVID-19 SEIR model in the framework of the Caputo-Fabrizio fractional operator with order b. Fixed point theory has been used to investigate the qualitative analysis of the solution respectively. The well-known Laplace transform method is used to determine the approximate solution of the proposed model. Using the COVID-19 data that is currently available, numerical simulations are run to validate the necessary scheme and examine the dynamic behavior of the various compartments of the model. In order to stop the pandemic from spreading, our findings highlight the significance of taking preventative steps and changing one's lifestyle.

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Section: Introductionmentioning

confidence: 99%

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Ahmad

Qiu

Rahman

2022

mmnsa

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“…In this selection process, we found that some articles did not contain the content that we were looking for. The references in [25][26][27][28] study typhoid disease using the fractional differential system to represent the transmission of the disease. Another article in [29] studies typhoid disease transmission by considering the spatial data factor in the model.…”

Section: The Prisma Methodsmentioning

confidence: 99%

Mathematical Models for Typhoid Disease Transmission: A Systematic Literature Review

2022

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Explaining all published articles on the typhoid disease transmission model was carried out. It has been conducted to understand how Salmonella is transmitted among humans and vectors with variation interventions to control the spread of the typhoid disease. Specific objectives were to (1) identify the model developed, (2) describe the studies, and (3) identify the interventions of the model. It systemically searched and reviewed Dimension, Scopus, and ScienceDirect databases from 2013 through to 2022 for articles that studied the spread of typhoid fever through a compartmental mathematical model. This study obtained 111 unique articles from three databases, resulting in 23 articles corresponding to the created terms. All the articles were elaborated on to identify their identities for more explanation. Various interventions were considered in the model of each article, are identified, and then summarized to find out the opportunities for model development in future works. The whole article’s content was identified and outlined regarding how mathematics plays a role in model analysis and study of typhoid disease spread with various interventions. The study of mathematical modeling for typhoid disease transmission can be developed on analysis and creating the model with direct and indirect interventions to the human population for further work.

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“…( 2). [10][11][12][13][14][15][16] constructed the generalized derivative of a set value function and investigated it, while [17][18][19][20] explored the generalized conformable fractional derivative.…”

Section: Introductionmentioning

confidence: 99%

Study of a Dynamical Problem under Fuzzy Conformable Differential Equation

Harir¹,

Melliani²,

Chadli³

2023

Qualitative and Computational Aspects of Dynamical Systems

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The notion of inclusion by generalized conformable differentiability is used to analyze fuzzy conformable differential equations (FCDE). This idea is based on expanding the class of conformable differentiable fuzzy mappings, and we use generalized lateral conformable derivatives to do so. We’ll see that both conformable derivatives are distinct and that they lead to different FCDE solutions. The approach’s utility and efficiency are demonstrated with an example.

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Study of fractional order dynamics of nonlinear mathematical model

Cited by 41 publications

References 47 publications

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Mathematical Models for Typhoid Disease Transmission: A Systematic Literature Review

Study of a Dynamical Problem under Fuzzy Conformable Differential Equation

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