Estimating the Spread of Generalized Compartmental Model of Monkeypox Virus Using a Fuzzy Fractional Laplace Transform Method

Sherine, V. Rexma; Chellamani, P.; Ismail, Rashad; Avinash, N.; Xavier, G. Britto Antony

doi:10.3390/sym14122545

Cited by 6 publications

(4 citation statements)

References 47 publications

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“…The parameters  and  denote the linear and non-linear parts of the differential system. By utilizing definition 5, 6, and 7 for asymmetrical Gaussian fuzzy numbers, the upper and lower bounds of equation (25) for α-cut are…”

Section: Extended He-mohand Algorithm For Fuzzy-fractional Lorenz Typ...mentioning

confidence: 99%

“…Differential equations in fuzzy form are attracting various researchers. Some of them are fuzzy-fractional Fisher equations [19], fuzzy-fractional WU-Zhang system [20], fuzzy population growth model [21], intuitionistic fuzzy differential equations [22], fuzzy phytoplanktonzooplankton model [23], fuzzy-fractional electric circuits [24], fuzzy-fractional model of Monkeypox virus [25], and fuzzy-fractional cancer tumor dynamics [26,27].…”

Section: Introductionmentioning

confidence: 99%

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Time-fractional lorenz type chaotic systems with asymmetric gaussian uncertainty: series solutions via extended He-Mohand algorithm in fuzzy-caputo sense

Qayyum,

Ahmad

2024

Phys. Scr.

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In this paper, modeling and analysis of 3D fuzzy-fractional Lorenz type systems is presented. System under-consideration includes classical Lorenz, Chen and Burke-Shaw chaotic systems. Asymmetrical Gaussian fuzzy logic with fractional calculus is applied to model complex systems with intricate patterns. The focus of this study is fuzzy-fractional modeling and simulations. For solution purpose, a hybrid perturbation method is introduced where standard homotopy perturbation method (HPM) is enhanced by incorporating Mohand transform in fuzzy-Caputo sense. This hybrid mechanism provides an efficient way to find solutions in fuzzy-fractional environment. Validity of obtained solutions is checked by computing residual errors, which ultimately confirms the convergence of applied methodology. The dynamical behavior of fuzzy-fractional chaotic models is analyzed through various 2-3D plots to represent the chaotic regions as well unpredictable trajectories at both upper and lower bounds. Fuzzy membership functions of 3D models at different values of fractional derivative are also demonstrated through 2D plots. Analysis reveals that extended hybrid methodology proves to be a valuable tool for researchers dealing with nonlinear chaotic fractional systems with fuzzy characteristics.

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Section: Extended He-mohand Algorithm For Fuzzy-fractional Lorenz Typ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time-fractional lorenz type chaotic systems with asymmetric gaussian uncertainty: series solutions via extended He-Mohand algorithm in fuzzy-caputo sense

Qayyum,

Ahmad

2024

Phys. Scr.

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“…In literature, several techniques have been utilized to solve them. Rexma Sherine et al [45] used the fuzzyfractional Laplace transform method to estimate the spread of the generalized monkeypox virus model. Te fractional diferential transform method and Hilbert space method were combined by Najaf and Allahviranloo [46] to solve fuzzy impulsive fractional diferential equations.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of the Fuzzy-Fractional Chaotic Financial System Using the Extended He–Mohand Algorithm in a Fuzzy-Caputo Sense

Qayyum,

Ahmad,

Tahir

et al. 2023

International Journal of Intelligent Systems

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This paper contains modeling of a fuzzy-fractional financial chaotic model based on triangular fuzzy numbers (TFNs) to predict the idea that long-term dependency and uncertainty both have an impact on the financial market. For solution purposes, the He–Mohand algorithm is proposed where homotopy perturbation is hybrid with Mohand transform in a fuzzy-Caputo sense. In analysis, solutions and corresponding errors at upper and lower bounds are estimated. The obtained numerical results are displayed in tables to show the reliability and efficiency of the proposed methodology. Upper bound errors range from 10 − 6 to 10 − 12 and lower bound errors from 10 − 6 to 10 − 11 . For graphical analysis, system profiles are illustrated as two-dimensional and three-dimensional plots at diverse values of fractional parameters and time to comprehend the physical behavior of the proposed fuzzy-fractional model. These plots demonstrate that the interest rate, price index, and investment demand decrease with the increase of the value of the r -cut at the lower bound. At the upper bound, this behavior is totally opposite. The chaotic behavior of the system at smaller values of saving rate, elasticity of demands, and per-investment cost is greater in contrast to their larger value. Analysis reveals that the proposed methodology (He–Mohand algorithm) provides a new way of understanding the complicated structure of financial systems and provides new insights into the dynamics of financial markets. This algorithm has potential applications in risk management, portfolio optimization, and trading strategies.

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“…Incorporating memory effects and non-local interactions in modeling the disease can provide a more accurate representation of its spread and evolution over time. Furthermore, such modeling can assist public health officials in evaluating and optimizing intervention strategies, estimating the impact of vaccination programs, and assessing the effectiveness of different control measures [7].…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Study on a Fractional-Order SEIR Mpox Model: Analysis and Vaccination Influence

Batiha,

Abubaker,

Jebril

et al. 2023

Algorithms

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This paper establishes a novel fractional-order version of a recently expanded form of the Susceptible-Exposed-Infectious-Recovery (SEIR) Mpox model. This model is investigated by means of demonstrating some significant findings connected with the stability analysis and the vaccination impact, as well. In particular, we analyze the fractional-order Mpox model in terms of its invariant region, boundedness of solution, equilibria, basic reproductive number, and its elasticity. In accordance with an effective vaccine, we study the progression and dynamics of the Mpox disease in compliance with various scenarios of the vaccination ratio through the proposed fractional-order Mpox model. Accordingly, several numerical findings of the proposed model are depicted with the use of two numerical methods; the Fractional Euler Method (FEM) and Modified Fractional Euler Method (MFEM). Such findings demonstrate the influence of the fractional-order values coupled with the vaccination rate on the dynamics of the established disease model.

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Estimating the Spread of Generalized Compartmental Model of Monkeypox Virus Using a Fuzzy Fractional Laplace Transform Method

Cited by 6 publications

References 47 publications

Time-fractional lorenz type chaotic systems with asymmetric gaussian uncertainty: series solutions via extended He-Mohand algorithm in fuzzy-caputo sense

Time-fractional lorenz type chaotic systems with asymmetric gaussian uncertainty: series solutions via extended He-Mohand algorithm in fuzzy-caputo sense

Modeling and Analysis of the Fuzzy-Fractional Chaotic Financial System Using the Extended He–Mohand Algorithm in a Fuzzy-Caputo Sense

A Mathematical Study on a Fractional-Order SEIR Mpox Model: Analysis and Vaccination Influence

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