A stochastic computing procedure to solve the dynamics of prevention in HIV system

“…A new perception of the fractional kind of derivative based on the control scheme of dengue infection has been emphasized efficiently in [27]. The simulations using the analytical/numerical schemes based on the mathematical systems indicate a significant character in describing the formulations of the systems [28][29][30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Stochastic Computational Heuristic for the Fractional Biological Model Based on Leptospirosis

Sabir¹,

Sánchez-Chero²,

Raja³

et al. 2023

Computers, Materials &Amp; Continua

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The purpose of these investigations is to find the numerical outcomes of the fractional kind of biological system based on Leptospirosis by exploiting the strength of artificial neural networks aided by scale conjugate gradient, called ANNs-SCG. The fractional derivatives have been applied to get more reliable performances of the system. The mathematical form of the biological Leptospirosis system is divided into five categories, and the numerical performances of each model class will be provided by using the ANNs-SCG. The exactness of the ANNs-SCG is performed using the comparison of the reference and obtained results. The reference solutions have been obtained by using the Adams numerical scheme. For these investigations, the data selection is performed at 82% for training, while the statics for both testing and authentication is selected as 9%. The procedures based on the recurrence, mean square error, error histograms, regression, state transitions, and correlation will be accomplished to validate the fitness, accuracy, and reliability of the ANNs-SCG scheme.

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“…Fractional partial differential equations (FPDEs) have many applications in the fields of science, engineering and technology especially in geochemistry, plasma physics, biology, fluid dynamics, biology and optical fibre [1][2][3] etc. FPDEs have been considered for their exact solutions to investigate various physical phenomena.…”

Section: Introductionmentioning

confidence: 99%

“…The bright singular solution of gCH-KP has derived by using Kudryashov method. Single soliton solution of equation (1) has been obtained by Hirota method and the impact of fractional parameter θ on the single soliton solution is shown with the graphical representation. The EShGeem has been used to obtained the bright, singular, dark soliton solutions of the governing equation.…”

Section: Introductionmentioning

confidence: 99%

“…In section 6, Single soliton solution of gCH-KP equation has been obtained by using Hirota method. In section 7, EShGeem has been applied to find the singular, dark and bright soliton solutions of equation (1). In section 8, mGERFM is applied to find the singular, dark and bright soliton solutions of the considered equation and also the obtained solutions are explained with the graphical representations.…”

Section: Introductionmentioning

confidence: 99%

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Bifurcation analysis, chaotic analysis and diverse optical soliton solutions of time-fractional (2+1) dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation arising in shallow water waves

Gupta

2023

Phys. Scr.

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This paper presents a study on (2+1) generalized Camassa-Holm Kadomtsev-Petviashvili equation, which is used to describe the behavior of shallow water waves in nonlinear media. The considered equation provides a more accurate description of wave behavior compared to linear wave equations and can account for wave breaking and other nonlinear effects. This model can be used to describe and study the behavior of nonlinear waves such as rogue waves in complex fluid dynamics scenarios. This includes the behavior of waves in stratified fluids, nonlinear dispersive media and wave interactions in fluid flows with varying velocities and densities. Bifurcation analysis of the governing equation has been performed using the planar dynamical system method. The chaotic behavior of the dynamical system has been examined by utilizing various techniques such as time series analysis and construction of 2D and 3D phase space trajectories. Furthermore, introduction of perturbed term has resulted in the observation of chaotic and quasi-periodic behaviors across a range of parameter values. The considered equation has been reduced to ordinary differential equation by performing symmetry reduction. Kudryashov method has been used to obtain exact solution of reduced equation. Single soliton solution of governed equation has been obtained by using Hirota method and impact of fractional parameter on the obtained solution has been studied using graphical representation. The extended sinh-Gordon equation expansion method and modified generalized exponential rational function method have been exploited to obtain dark, bright and singular soliton of considered equation. The motivation for this study arises from need to understand and analyze the complex dynamics of shallow water waves in nonlinear media with a particular focus on governing equation. By performing symmetry reduction and applying various analytical methods, we aim to unravel the intricate behavior and soliton solutions of considered equation, contributing to broader understanding of nonlinear wave phenomena. 

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A stochastic computing procedure to solve the dynamics of prevention in HIV system

Cited by 30 publications

References 48 publications

Artificial neural network-based heuristic to solve COVID-19 model including government strategies and individual responses

Artificial neural network-based heuristic to solve COVID-19 model including government strategies and individual responses

Stochastic Computational Heuristic for the Fractional Biological Model Based on Leptospirosis

Bifurcation analysis, chaotic analysis and diverse optical soliton solutions of time-fractional (2+1) dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation arising in shallow water waves

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