Stability analysis of COVID-19 outbreak using Caputo-Fabrizio fractional differential equation

Sivashankar, M.; Sabarinathan, S.; Govindan, Vediyappan; Fernández-Gámiz, Unai; Noeiaghdam, Samad

doi:10.3934/math.2023143

Cited by 16 publications

(5 citation statements)

References 40 publications

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“…In the realm of epidemiology, fractional-order modeling has gained attention due to its ability to capture complex and nonlinear disease dynamics [18][19][20][21][22][23][24]. This approach offers an alternative to conventional integer-order models by considering memory effects, such as immunity among recovered individuals, and varying infection and recovery rates over time [25][26][27]. The Caputo-Fabrizio model and the Atangana-Baleanu model are two examples of fractional order models that offer understanding of disease dynamics, the effects of vaccines, and healthcare capacity's role in disease spread.…”

Section: Introductionmentioning

confidence: 99%

The analysis of a novel COVID-19 model with the fractional-order incorporating the impact of the vaccination campaign in Nigeria via the Laplace-Adomian Decomposition Method

Yunus,

Olayiwola

2024

J. Nig. Soc. Phys. Sci.

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This study underscores the crucial role of COVID-19 vaccinations in managing the pandemic, with a specific focus on Nigeria. Employing a fractional-order mathematical modeling approach, the research assesses vaccination efficacy, minimum effectiveness, and duration. The model’s numerical solution is derived through the Laplace Adomian Decomposition Method (LADM), utilizing rapidly converging infinite series. Simulation results illustrate the impact of COVID-19 transmission and vaccination rates. The study concludes that implementing a vaccination strategy in an integer order proves to be the most effective approach to controlling the spread of COVID-19. These findings have significant implications for researchers, policymakers, and healthcare workers. They emphasize the central role of fractional calculus in facilitating vaccine implementation in the ongoing battle against COVID-19. The study calls for global efforts to maximize vaccination implementation for the overall benefit of public health.

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Section: Introductionmentioning

confidence: 99%

The analysis of a novel COVID-19 model with the fractional-order incorporating the impact of the vaccination campaign in Nigeria via the Laplace-Adomian Decomposition Method

Yunus,

Olayiwola

2024

J. Nig. Soc. Phys. Sci.

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“…The solutions and properties of differential equations are significant [1,2]. For example, the stability of a differential equation not only reflects the characteristics of the equation itself, it plays a role in practical model analysis [3][4][5][6]. Differential equations can be divided into linear equations and nonlinear equations.…”

Section: Introductionmentioning

confidence: 99%

Oceanic Shallow-Water Investigations on a Variable-Coefficient Davey–Stewartson System

Chen,

Wei,

Song

et al. 2024

Mathematics

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In this paper, a variable-coefficient Davey–Stewartson (vcDS) system is investigated for modeling the evolution of a two-dimensional wave-packet on water of finite depth in inhomogeneous media or nonuniform boundaries, which is where its novelty lies. The Painlevé integrability is tested by the method of Weiss, Tabor, and Carnevale (WTC) with the simplified form of Krustal. The rational solutions are derived by the Hirota bilinear method, where the formulae of the solutions are represented in terms of determinants. Furthermore the fundamental rogue wave solutions are obtained under certain parameter restrains in rational solutions. Finally the physical characteristics of the influences of the coefficient parameters on the solutions are discussed graphically. These rogue wave solutions have comprehensive implications for two-dimensional surface water waves in the ocean.

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“…Later, Aoki [3] and Rassias [4] presented a generalized version of the stability results with the Cauchy difference as unbounded. Further, many researchers were attracted by the interesting stability result of various functional and differential equations [5–10].…”

Section: Introductionmentioning

confidence: 99%

Results on Ulam‐type stability of linear differential equation with integral transform

Selvam,

Sabarinathan,

Sooppy Nisar

et al. 2023

Math Methods in App Sciences

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The main theme of this study is to implement the Sumudu integral transform technique to solve the stability problem of linear differential equations. Another important aspect of this paper is to investigate the Ulam–Hyers and Ulam–Hyers–JRassias stability of linear differential equations by using Sumudu transform method. Further, the results are extended to the Mittag‐Leffler–Ulam–Hyers and Mittag‐Leffler–Ulam–Hyers–JRassias stability of these differential equations. As an application point of view, the Sumudu transform is used to find Ulam stabilities of differential equations arising in field‐controlled DC servo motor with position control.

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Stability analysis of COVID-19 outbreak using Caputo-Fabrizio fractional differential equation

Cited by 16 publications

References 40 publications

The analysis of a novel COVID-19 model with the fractional-order incorporating the impact of the vaccination campaign in Nigeria via the Laplace-Adomian Decomposition Method

The analysis of a novel COVID-19 model with the fractional-order incorporating the impact of the vaccination campaign in Nigeria via the Laplace-Adomian Decomposition Method

Oceanic Shallow-Water Investigations on a Variable-Coefficient Davey–Stewartson System

Results on Ulam‐type stability of linear differential equation with integral transform

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