We study the global asymptotic stability problem with respect to fractional-order quaternion-valued bidirectional associative memory neural network (FQVBAMNN) models in this paper. Whether real and imaginary parts of activation functions are expressed implicitly or explicitly, they considered meet Lipschitz condition quaternion field. New sufficient conditions derived by applying principle homeomorphism, Lyapunov method linear matrix inequality (LMI) approach for two cases functions. The...

The dynamic behaviors of computer virus models are investigated. In the first phase, we discussed deterministic version proposed model by taking into consideration local and global stability. For stability Castillo-Chavez approach is taken account. numerically solved Runge–Kutta scheme. then fractionalized using Atangana–Baleanu–Caputo operator. Existence uniqueness Hyers–Ulam established. Atangana–Toufik method used for numerical examination a fractional model.

Computer networks can be alerted to possible viruses by using kill signals, which reduces the risk of virus spreading. To analyze effect signal nodes on propagation, we use a fractional-order SIRA model Caputo derivatives. In our model, show how computer spreads in vulnerable system and it is countered an antidote. Using operator, fractionalized after examining deterministic form. The fixed point theory Schauder Banach applied under consideration determine whether there exists at least one...

Abstract In recent years, COVID-19 has evolved into many variants, posing new challenges for disease control and prevention. The Omicron variant, in particular, been found to be highly contagious. this study, we constructed analyzed a mathematical model of transmission that incorporates vaccination three different compartments the infected population: asymptomatic $$(I_{a})$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>I</mml:mi>...

Climate change (CC) is causing a significant threat to agriculture, sector complicatedly tied natural resources. Changes in precipitation patterns, atmospheric water content, and rising temperatures intensely affect global especially tropical regions. In this intense CC scenario, potential evapotranspiration (PET) crop requirement (CWR) are critical components of agricultural management. This study evaluates the future impact on precipitation, CWR, PET different provinces Thailand's northern...

The selection of General Circulation Models (GCMs) is critical due to computational limitations and underlying uncertainties. This study provides a comprehensive assessment three bias correction (BC) methods, namely the delta change method (DT), quantile mapping (QM), empirical (EQM). Utilizing precipitation data from 30 observation stations across Southern Thailand, evaluation encompasses five CMIP6 GCM models (CAMS-CSM1-0, CanESM5, CNRM-CM6-1, CNRM-ESM2-1, IPSL-CM6A-LR). Evaluation...

We developed a dengue epidemic model by considering hospitalized class and harmonic mean incidence rate. A qualitative study of the proposed was conducted. The Basic reproduction number, local global stability are established. highly dominant parameters on basic number R0 have been found sensitivity analysis. NSFD RK-4 schemes used for numerical solutions. Furthermore, this manuscript considers novel fractional-order operator Atangana-Baleanu transmission dynamics Dengue epidemic. Assuming...

In this paper, we present a fractional-order mathematical model in the Caputo sense to investigate significance of vaccines controlling COVID-19. The Banach contraction mapping principle is used prove existence and uniqueness solution. Based on magnitude basic reproduction number, show that consists two equilibrium solutions are stable. disease-free endemic points locally stably when R0<1 R0>1 respectively. We perform numerical simulations, with vaccine clearly shown. changes occur due...

Handling missing values is a critical component of the data processing in hydrological modeling. The key objective this research to assess statistical techniques (STs) and artificial intelligence-based (AITs) for imputing daily rainfall recommend methodology applicable mountainous terrain northern Thailand. In study, 30 years was collected from 20 stations Thailand randomly 25-35 % deleted four target based on Spearman correlation coefficient between neighboring stations. Imputation models...

In this paper, we study the mean-square exponential input-to-state stability (exp-ISS) problem for a new class of neural network (NN) models, i.e., continuous-time stochastic memristive quaternion-valued networks (SMQVNNs) with time delays. Firstly, in order to overcome difficulties posed by non-commutative quaternion multiplication, decompose original SMQVNNs into four real-valued models. Secondly, constructing suitable Lyapunov functional and applying It o ^ ’s formula, Dynkin’s formula as...

In scientific disciplines and other engineering applications, most of the systems refer to uncertainties, because when modeling physical uncertain parameters are unavoidable. view this, it is important investigate dynamical with parameters. present study, a delay-dividing approach devised study robust stability issue neural networks. Specifically, stochastic complex-valued Hopfield network (USCVHNN) time delay investigated. Here, uncertainties system norm-bounded. Based on Lyapunov...

Abstract In this paper, we consider a fractional COVID-19 epidemic model with convex incidence rate. The Atangana–Baleanu operator in the Caputo sense is taken into account. We establish equilibrium points, basic reproduction number, and local stability at both points. existence uniqueness of solution are proved by using Banach Leray–Schauder alternative type theorems. For numerical simulations, use Toufik–Atangana scheme. Optimal control analysis carried out to minimize infection maximize...

In this research, COVID-19 model is formulated by incorporating harmonic mean type incidence rate which more realistic in average speed. Basic reproduction number, equilibrium points, and stability of the proposed established under certain conditions. Runge-Kutta fourth order approximation used to solve deterministic model. The then fractionalized using Caputo-Fabrizio derivative existence uniqueness solution are proved Banach Leray-Schauder alternative theorems. For fractional numerical...

In this work, we consider an epidemic model for corona-virus (COVID-19) with random perturbations as well time delay, composed of four different classes susceptible population, the exposed infectious population and quarantine population. We investigate proposed problem derivation at least one unique solution in positive feasible region non-local solution. For stationary ergodic distribution, necessary result existence is developed by applying Lyapunov function sense delay-stochastic approach...

&lt;abstract&gt;&lt;p&gt;In this study, the COVID-19 epidemic model is established by incorporating quarantine and isolation compartments with Mittag-Leffler kernel. The existence uniqueness of solutions for proposed fractional are obtained. basic reproduction number, equilibrium points, stability analysis derived. Sensitivity carried out to elaborate influential parameters upon number. It obtained that disease transmission parameter most dominant A convergent iterative scheme taken into...

Abstract In chemical engineering, the materials that is drawn or stretched continuously its surface velocity initially increases with distance from orifice. The extruded material also simultaneously cooled to provide solidification through a water bath spraying coolant. Due such applications and others, present study concerns film deposition of Casson nanoliquid heat mass transfer bioconvection flow homogeneous‐heterogeneous reactions, entropy generation, thermal radiation magnetic dipole...