Intelligent networks knacks for numerical treatment of nonlinear multi-delays SVEIR epidemic systems with vaccination

Abstract

This paper portrays the exploitation/exploration of artificial intelligence (AI) inspired computing to study the behavior of the multi-delay differential systems that revealed the impact of latent period and the dynamics of the a susceptible, vaccinated, exposed, infectious and recovered (SVEIR) epidemic model involving vaccination by means of the neural networks backpropagation with Levenberg–Marquardt scheme (NNs-BLMS). The reference solutions of the five classes ordinary differential equations (ODEs) model of SVEIR dynamics are calculated by applying the Adams method for variation in delay due to the time spent in preventing the infection and delay due to the duration of recovery immunity in the cured population. The designed NNs-BLMS used the created dataset arbitrarily for training, validation, as well as, testing samples to determine the estimated results of the nonlinear SVEIR epidemic model involving vaccination impact. The achieved accuracy of the designed NNs-BLMS is authenticated/proven by analyzing the fitness function based on mean square error (MSE), regression analysis, and error histogram for sundry scenarios of SVEIR epidemic system with the impact of vaccination.

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

“…A precise balance between the damping force and the oscillation propensity of the system is represented by critical damping. It should be highlighted that the study of the two scales provided by the solution (24) does not support this result.…”

“…The inclusion of this time delay acts as a protective barrier, ensuring the system in question does not undergo nonlinear vibrations [23]. 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].…”

Dynamical system of a time-delayed ϕ6-Van der Pol oscillator: a non-perturbative approach

“…The time delay served as an additional protection against the system under consideration vibrating nonlinearly. Computing was inspired to explore the behavior of multi-delay differential systems that highlighted the effect of latent time through the exploitation/exploration of artificial intelligence 22 . To examine the resolution of the nonlinear multiple delays, an original concept of a smart computer paradigm employing the strengths/knacks of based technique via two-layer structure networks was given 23 .…”

Resistance–capacitance optimizer: a physics-inspired population-based algorithm for numerical and industrial engineering computation problems

“…Thirdly, robustness and flexibility are crucial in optimization. New algorithms incorporate techniques to handle uncertainties, noisy data, and dynamic environments, ensuring more reliable and adaptable solutions 11 , 12 .…”