Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis

Rashid, Saima; Kanwal, Bushra; Ahmad, Abdulaziz Garba; Bonyah, Ebenezer; Elagan, S. K.

doi:10.1155/2022/4717663

Cited by 5 publications

(2 citation statements)

References 36 publications

(47 reference statements)

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“…Rashid et al. ( 2022 ) investigated a deterministic model of pneumonia-meningitis coinfection. By employing the Atangana–Baleanu fractional derivative operator in the Caputo framework, they analyzed a seven-component approach based on ordinary differential equations.…”

Section: Introductionmentioning

confidence: 99%

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials

et al. 2023

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Tuberculosis (TB) is a deadly contagious disease that affects vital organs of the body, especially the lungs. Although the disease is preventable, there are still concerns about its continued spread. Without effective prevention or appropriate treatment, TB infection can be fatal to humans. This paper presents a fractional-order TB disease (FTBD) model to analyze TB dynamics and a new optimization method to solve it. The method is based on the basis functions of generalized Laguerre polynomials (GLPs) and some new operational matrices of derivatives in the Caputo sense. Finding the optimal solution to the FTBD model is reduced to solving a system of nonlinear algebraic equations with the aid of GLPs using the Lagrange multipliers method. A numerical simulation is also carried out to determine the impact of the presented method on the susceptible, exposed, infected without treatment, infected with treatment, and recovered cases in the population.

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Section: Introductionmentioning

confidence: 99%

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials

et al. 2023

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“…Additional details on fractional calculus and its uses may be found in the sources 15 – 21 . Several academics looked into the numerical fractional estimates, equilibrium conditions, and disease-free stability for certain epidemic fractional models 22 , 26 . Using fractional calculus for examining HIV models has produced a number of different study conclusions.…”

Section: Introductionmentioning

confidence: 99%

A novel HIV model through fractional enlarged integral and differential operators

Barakat

Hyder

Almoneef

2023

Sci Rep

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This article presents a novel mathematical fractional model to examine the transmission of HIV. The new HIV model is built using recently fractional enlarged differential and integral operators. The existence and uniqueness findings for the suggested fractional HIV model are investigated using Leray–Schauder nonlinear alternative (LSNA) and Banach’s fixed point (BFP) theorems. Furthermore, multiple types of Ulam stability (U-S) are created for the fractional model of HIV. It is straightforward to identify that the gained findings may be decreased to many results obtained in former works of literature.

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Dynamical behavior of a stochastic highly pathogenic avian influenza A (HPAI) epidemic model via piecewise fractional differential technique

Al-Qureshi

Rashid

Jarad

et al. 2023

MATH

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<abstract><p>In this research, we investigate the dynamical behaviour of a HPAI epidemic system featuring a half-saturated transmission rate and significant evidence of crossover behaviours. Although simulations have proposed numerous mathematical frameworks to portray these behaviours, it is evident that their mathematical representations cannot adequately describe the crossover behaviours, particularly the change from deterministic reboots to stochastics. Furthermore, we show that the stochastic process has a threshold number $ {\bf R}_{0}^{s} $ that can predict pathogen extermination and mean persistence. Furthermore, we show that if $ {\bf R}_{0}^{s} > 1 $, an ergodic stationary distribution corresponds to the stochastic version of the aforementioned system by constructing a sequence of appropriate Lyapunov candidates. The fractional framework is expanded to the piecewise approach, and a simulation tool for interactive representation is provided. We present several illustrated findings for the system that demonstrate the utility of the piecewise estimation technique. The acquired findings offer no uncertainty that this notion is a revolutionary viewpoint that will assist mankind in identifying nature.</p></abstract>

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Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis

Cited by 5 publications

References 36 publications

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials

A novel HIV model through fractional enlarged integral and differential operators

Dynamical behavior of a stochastic highly pathogenic avian influenza A (HPAI) epidemic model via piecewise fractional differential technique

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