Neuro-computational intelligence for numerical treatment of multiple delays SEIR model of worms propagation in wireless sensor networks

Shoaib, Mohammed; Anwar, Nabeela; Ahmad, Iftikhar; Naz, Shazia; Kiani, Adiqa Kausar; Raja, Muhammad Asif Zahoor

doi:10.1016/j.bspc.2023.104797

Cited by 17 publications

(7 citation statements)

References 39 publications

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“…By utilizing equation (25) to obtain the aforementioned integral, the two parameters, ξ and ζ, can be related as follows:…”

Section: Methodsmentioning

confidence: 99%

“…With advancements in artificial intelligence, computational methods were employed to scrutinize the behavior of multi-delay differential systems, emphasizing the significance of potential time [24]. In addressing the challenges posed by nonlinear delays, an innovative approach was introduced, conceptualizing an intelligent computational model that leverages both the strengths and weaknesses of the established method through dual-layered network frameworks [25]. For the computational analysis of the nonlinear delay system, particularly concerning the dynamics of plant virus propagation influenced by seasonality and delays, advanced stochastic models rooted in artificial intelligence were utilized [26].…”

Section: Introductionmentioning

confidence: 99%

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Stability analysis of a time-delayed Van der Pol–Helmholtz–Duffing oscillator in fractal space with a non-perturbative approach

El-Dib

2024

Commun. Theor. Phys.

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The time-delayed fractal Van der Pol-Helmholtz-Duffing (VPHD) oscillator is the subject of this paper, which explores its mechanisms and highlights its stability analysis. While time-delayed technologies are currently garnering significant attention, the focus of this research remains crucially relevant. A non-perturbative approach is employed to refine and set the stage for the system under scrutiny. The innovative methodologies introduced yield an equivalent linear differential equation, mirroring the inherent nonlinearities of the system. Notably, the incorporation of quadratic nonlinearity into the frequency formula represents a cutting-edge advancement. The analytical solution's validity is corroborated using a numerical approach. Stability conditions are ascertained through the residual Galerkin method. Intriguingly, it is observed that the delay parameter, in the context of the fractal system, reverses its stabilizing influence, impacting both the amplitude of delayed velocity and position. The analytical solution's precision is underscored by its close alignment with numerical results. Furthermore, the study reveals that fractal characteristics emulate damping behaviors. Given its applicability across diverse nonlinear dynamical systems, this non-perturbative approach emerges as a promising avenue for future research.

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“…By utilizing equation (25) to obtain the aforementioned integral, the two parameters, ξ and ζ, can be related as follows:…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability analysis of a time-delayed Van der Pol–Helmholtz–Duffing oscillator in fractal space with a non-perturbative approach

El-Dib

2024

Commun. Theor. Phys.

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“…The progress of information technology has brought about an increase in alarming incidents related to wireless networks 1 , 2 . This progress in the field not only created security issues and threats to the entire globe but also endangered human beings 3 .…”

Section: Introductionmentioning

confidence: 99%

Comprehensive analysis of a stochastic wireless sensor network motivated by Black-Karasinski process

Liu,

Din

2024

Sci Rep

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Wireless sensor networks (WSNs) encounter a significant challenge in ensuring network security due to their operational constraints. This challenge stems from the potential infiltration of malware into WSNs, where a single infected node can rapidly propagate worms to neighboring nodes. To address this issue, this research introduces a stochastic $$\textsf{S}\textsf{E}\textsf{I}\textsf{R}\textsf{S}$$ S E I R S model to characterize worm spread in WSNs. Initially, we established that our model possesses a globally positive solution. Subsequently, we determine a threshold value for our stochastic system and derive a set of sufficient conditions that dictate the persistence or extinction of worm spread in WSNs based on the mean behavior. Our study reveals that environmental randomness can impede the spread of malware in WSNs. Moreover, by utilizing various parameter sets, we obtain approximate solutions that showcase these precise findings and validate the effectiveness of the proposed $$\textsf{S}\textsf{E}\textsf{I}\textsf{R}\textsf{S}$$ S E I R S model, which surpasses existing models in mitigating worm transmission in WSNs.

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“…In recent years, the search of numerical and exact solutions for nonlinear equations has gained particular prominence as a popular and captivating domain both in mathematics and physics. Various numerical methods contribute to the solution, such as Runge–Kutta method 11 – 13 , the Bayesian regularization technique (BRT) 14 – 17 , Levenberg–Marquardt approach (LMA) 18 , 19 , the shooting method 20 – 22 , the bvp4c technique 23 – 25 , the Keller box method 26 – 28 , the Lobatto IIIA method 29 , etc. Also researchers have developed several effective, powerful and efficient exact methods for uncovering the solutions of these equations.…”

Section: Introductionmentioning

confidence: 99%

Exact soliton solutions and the significance of time-dependent coefficients in the Boussinesq equation: theory and application in mathematical physics

Kawser,

Akbar,

Khan

et al. 2024

Sci Rep

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This article effectively establishes the exact soliton solutions for the Boussinesq model, characterized by time-dependent coefficients, employing the advanced modified simple equation, generalized Kudryashov and modified sine–Gordon expansion methods. The adaptive applicability of the Boussinesq system to coastal dynamics, fluid behavior, and wave propagation enriches interdisciplinary research across hydrodynamics and oceanography. The solutions of the system obtained through these significant techniques make a path to understanding nonlinear phenomena in various fields, surpassing traditional barriers and further motivating research and application. Significant impacts of the coefficients of the equation, wave velocity, and related parameters are evident in the profiles of soliton-shaped waves in both 3D and 2D configurations when all these factors are treated as variables, which are not seen in the case for constant coefficients. This study enhances the understanding of the significant role played by nonlinear evolution equations with time-dependent coefficients through careful dynamic explanations and detailed analyses. This revelation opens up an interesting and challenging field of study, with promising insights that resonate across diverse scientific disciplines.

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Neuro-computational intelligence for numerical treatment of multiple delays SEIR model of worms propagation in wireless sensor networks

Cited by 17 publications

References 39 publications

Stability analysis of a time-delayed Van der Pol–Helmholtz–Duffing oscillator in fractal space with a non-perturbative approach

Stability analysis of a time-delayed Van der Pol–Helmholtz–Duffing oscillator in fractal space with a non-perturbative approach

Comprehensive analysis of a stochastic wireless sensor network motivated by Black-Karasinski process

Exact soliton solutions and the significance of time-dependent coefficients in the Boussinesq equation: theory and application in mathematical physics

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