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Mathematics, Volume 11, Issue 21

2023 November-1 - 159 articles

Cover Story: We consider the evolution of a finite population constituted by susceptible and infectious individuals and compare several time-inhomogeneous deterministic models with their stochastic counterpart based on finite birth processes. For these processes, we determine the explicit expressions of the transition probabilities and of the first-passage time densities. For time-homogeneous finite birth processes, the behavior of the mean and the variance of the first-passage time density is also analyzed. Moreover, the approximate duration until the entire population is infected is obtained for a large population size. View this paper
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Articles (159)

  • Article
  • Open Access
3 Citations
2,376 Views
33 Pages

6 November 2023

As the ownership of electric vehicles (EVs) continues to rise, EVs are becoming an integral part of urban microgrids. Incorporating the charging and discharging processes of EVs into the microgrid’s optimization scheduling process can serve to...

  • Article
  • Open Access
2 Citations
3,238 Views
17 Pages

The Field Technician Scheduling Problem with Experience-Dependent Service Times

  • Vincent F. Yu,
  • Yueh-Sheng Lin,
  • Panca Jodiawan,
  • Shih-Wei Lin and
  • Yu-Chi Lai

6 November 2023

This research studies the Field Technician Scheduling Problem with Experience-Dependent Service Times (FTSP–EDST), involving three main features: matching maintenance tasks with available technicians, sequencing the tasks, and considering the e...

  • Article
  • Open Access
14 Citations
2,634 Views
22 Pages

An Integrated Model of Deep Learning and Heuristic Algorithm for Load Forecasting in Smart Grid

  • Hisham Alghamdi,
  • Ghulam Hafeez,
  • Sajjad Ali,
  • Safeer Ullah,
  • Muhammad Iftikhar Khan,
  • Sadia Murawwat and
  • Lyu-Guang Hua

6 November 2023

Accurate load forecasting plays a crucial role in the effective energy management of smart cities. However, the smart cities’ residents’ load profile is nonlinear, having high volatility, uncertainty, and randomness. Forecasting such nonl...

  • Article
  • Open Access
1 Citations
2,045 Views
19 Pages

6 November 2023

A fresh censored δ shock model is investigated. The arrival of random shocks follows a generalized Pólya process, and the failure mechanism of the system occurs based on the censored δ shock model. The generalized Pólya proc...

  • Article
  • Open Access
1 Citations
1,859 Views
14 Pages

6 November 2023

In previous studies, customer preferences were assumed to be static when modeling their preferences based on online reviews. However, in fact, customer preferences for products are dynamic and changing over time. Few research has been conducted to mo...

  • Article
  • Open Access
7 Citations
2,204 Views
16 Pages

6 November 2023

In this paper the objective is to force the outputs of nonlinear nonaffine multi-input multi-output (MIMO) systems to track those of a linear system with the desired properties. The approach is based on designing higher order sliding mode controller...

  • Article
  • Open Access
4 Citations
2,188 Views
28 Pages

6 November 2023

To use different models for forecasting economic data suitably, three main basic models (the grey system model, time series analysis model, and artificial neural network (ANN) model) are analyzed and compared comprehensively. Based on the analysis re...

  • Article
  • Open Access
3 Citations
2,495 Views
17 Pages

5 November 2023

Depth images obtained from lightweight, real-time depth estimation models and consumer-oriented sensors typically have low-resolution issues. Traditional interpolation methods for depth image up-sampling result in a significant information loss, espe...

  • Article
  • Open Access
1,855 Views
14 Pages

5 November 2023

Systems composed of piecewise smooth differential (PSD) mappings have quantitatively been searched for answers to a substantial issue of limit cycle (LC) bifurcations. In this paper, LC numbers (LCNs) of a PSD system (PSDS) consisting of four regions...

  • Article
  • Open Access
2 Citations
2,299 Views
15 Pages

5 November 2023

A randomized block Kaczmarz method and a randomized extended block Kaczmarz method are proposed for solving the matrix equation AXB=C, where the matrices A and B may be full-rank or rank-deficient. These methods are iterative methods without matrix m...

  • Article
  • Open Access
14 Citations
5,646 Views
24 Pages

5 November 2023

A single-phase five-level T-type topology has been investigated in this article. This topology has emerged as a viable option for renewable energy systems (RES) due to its inherent benefits. The finite control set model predictive control (FCS-MPC) s...

  • Article
  • Open Access
54 Citations
4,967 Views
20 Pages

5 November 2023

Path-planning research has been the key to mobile-robot-navigation technology. However, traditional path-planning algorithms have some shortcomings. To solve these problems, this paper proposes a fusion algorithm that combines the kinematical constra...

  • Article
  • Open Access
1 Citations
1,376 Views
19 Pages

Enhancing Equation Solving: Extending the Applicability of Steffensen-Type Methods

  • Ramandeep Behl,
  • Ioannis K. Argyros and
  • Monairah Alansari

5 November 2023

Local convergence analysis is mostly carried out using the Taylor series expansion approach, which requires the utilization of high-order derivatives, not iterative methods. There are other limitations to this approach, such as the following: the ana...

  • Article
  • Open Access
5 Citations
3,885 Views
16 Pages

Exploring Spatial-Based Position Encoding for Image Captioning

  • Xiaobao Yang,
  • Shuai He,
  • Junsheng Wu,
  • Yang Yang,
  • Zhiqiang Hou and
  • Sugang Ma

4 November 2023

Image captioning has become a hot topic in artificial intelligence research and sits at the intersection of computer vision and natural language processing. Most recent imaging captioning models have adopted an “encoder + decoder” archite...

  • Feature Paper
  • Article
  • Open Access
8 Citations
2,323 Views
13 Pages

Variable-Order Fractional Scale Calculus

  • Duarte Valério and
  • Manuel D. Ortigueira

4 November 2023

General variable-order fractional scale derivatives are introduced and studied. Both the stretching and the shrinking cases are considered for definitions of the derivatives of the GL type and of the Hadamard type. Their properties are deduced and di...

  • Article
  • Open Access
3 Citations
2,180 Views
24 Pages

Self-Tuning Controller Using Shifting Method

  • Milan Hofreiter,
  • Michal Moučka and
  • Pavel Trnka

4 November 2023

This paper presents a newly implemented self-tuning PID controller that uses a relay feedback identification using a recently designed relay shifting method to determine the mathematical model of the process and subsequently adjust the controller par...

  • Article
  • Open Access
1 Citations
2,325 Views
20 Pages

CVFL: A Chain-like and Verifiable Federated Learning Scheme with Computational Efficiency Based on Lagrange Interpolation Functions

  • Mengnan Wang,
  • Chunjie Cao,
  • Xiangyu Wang,
  • Qi Zhang,
  • Zhaoxing Jing,
  • Haochen Li and
  • Jingzhang Sun

4 November 2023

Data privacy and security concerns have attracted significant attention, leading to the frequent occurrence of data silos in deep learning. To address this issue, federated learning (FL) has emerged. However, simple federated learning frameworks stil...

  • Article
  • Open Access
6 Citations
3,125 Views
15 Pages

4 November 2023

With the continuous development of the Automatic Train Operation (ATO) system in high-speed railways, automatic driving is progressively supplanting manual operations, ushering in a new era of predictability and reliability for high-speed railway tra...

  • Article
  • Open Access
1 Citations
3,667 Views
14 Pages

Mathematical Models for Forecasting Unstable Economic Processes in the Eurozone

  • Askar Akaev,
  • Alexander Zvyagintsev,
  • Tessaleno Devezas,
  • Askar Sarygulov and
  • Andrea Tick

3 November 2023

In an unstable economic climate, all market participants want to know is when is the timing to overcome a recession, and what measures and means to use for economic recovery. In this regard, the process through which the Eurozone economy has gained m...

  • Article
  • Open Access
14 Citations
1,366 Views
13 Pages

Integrability Properties of the Slepyan–Palmov Model Arising in the Slepyan–Palmov Medium

  • Muhammad Usman,
  • Akhtar Hussain,
  • F. D. Zaman,
  • Asier Ibeas and
  • Yahya Almalki

3 November 2023

This study investigates the Slepyan–Palmov (SP) model, which describes plane longitudinal waves propagating within a medium comprising a carrier medium and nonlinear oscillators. The primary objective is to analyze the integrability properties...

  • Article
  • Open Access
1,546 Views
18 Pages

3 November 2023

With continuous progress in science and technology, a large amount of data are produced in all fields of the world at anytime and anywhere. These data are unmarked and lack marking information, while manual marking is time-consuming and laborious. He...

  • Article
  • Open Access
15 Citations
3,353 Views
26 Pages

Decentralized News-Retrieval Architecture Using Blockchain Technology

  • Adrian Alexandrescu and
  • Cristian Nicolae Butincu

3 November 2023

Trust is a critical element when it comes to news articles, and an important problem is how to ensure trust in the published information on news websites. First, this paper describes the inner workings of a proposed news-retrieval and aggregation arc...

  • Article
  • Open Access
1 Citations
1,856 Views
16 Pages

A Mechanistic Model for Long COVID Dynamics

  • Jacob Derrick,
  • Ben Patterson,
  • Jie Bai and
  • Jin Wang

3 November 2023

Long COVID, a long-lasting disorder following an acute infection of COVID-19, represents a significant public health burden at present. In this paper, we propose a new mechanistic model based on differential equations to investigate the population dy...

  • Article
  • Open Access
1 Citations
1,892 Views
18 Pages

3 November 2023

With advances in Internet of Things (IoT) technologies, billions of devices are becoming connected, which can result in the unprecedented sensing and control of the physical environments. IoT devices have diverse quality of service (QoS) requirements...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,609 Views
36 Pages

Rolling Stiefel Manifolds Equipped with α-Metrics

  • Markus Schlarb,
  • Knut Hüper,
  • Irina Markina and
  • Fátima Silva Leite

3 November 2023

We discuss the rolling, without slipping and without twisting, of Stiefel manifolds equipped with α-metrics, from an intrinsic and an extrinsic point of view. We, however, start with a more general perspective, namely, by investigating the intr...

  • Article
  • Open Access
1,167 Views
10 Pages

3 November 2023

In this paper, the Kadometsev–Petviashvili equation and the Bargmann system are obtained from a second-order operator spectral problem Lφ=(2vλu)φ=λφx. By means of the Euler–Lagrange equa...

  • Article
  • Open Access
3 Citations
3,007 Views
22 Pages

General Image Manipulation Detection Using Feature Engineering and a Deep Feed-Forward Neural Network

  • Sajjad Ahmed,
  • Byungun Yoon,
  • Sparsh Sharma,
  • Saurabh Singh and
  • Saiful Islam

3 November 2023

Within digital forensics, a notable emphasis is placed on the detection of the application of fundamental image-editing operators, including but not limited to median filters, average filters, contrast enhancement, resampling, and various other opera...

  • Article
  • Open Access
1,313 Views
12 Pages

3 November 2023

In this work, we investigate a minimization problem with a convex objective function on a domain, which is the solution set of a common fixed point problem with a finite family of nonexpansive mappings. Our algorithm is a combination of a projected s...

  • Article
  • Open Access
3 Citations
2,748 Views
9 Pages

3 November 2023

In this paper, we propose a new method to construct energy-minimizing cubic B-spline interpolation curves by minimizing the approximated stretch energy. The construction of a B-spline interpolation curve with a minimal approximated stretch energy can...

  • Article
  • Open Access
4 Citations
2,030 Views
17 Pages

3 November 2023

In this study a four-wheel independent steering (4WIS) system for an electric vehicle (EV) steered by stepper motors is presented as a revolutionary real-time control technique employing neural networks in combination with fuzzy logic, where the use...

  • Article
  • Open Access
1,596 Views
13 Pages

3 November 2023

In large engineering firms, most design projects are undertaken by teams of individuals. From the perspective of senior management, the overall project team must maintain scheduling, investment and return on the investment discipline while solving te...

  • Article
  • Open Access
4 Citations
1,498 Views
21 Pages

3 November 2023

In this study, the effects of preloaded uniaxial compressive stress and defect (prefabricated by laser cutting) curvature on blast-induced cracks and stress wave propagation were investigated in polymethyl methacrylate (PMMA) specimens using caustics...

  • Article
  • Open Access
11 Citations
2,763 Views
42 Pages

3 November 2023

In order to comprehensively evaluate and analyze the effectiveness of various heuristic intelligent optimization algorithms, this research employed particle swarm optimization, wind driven optimization, grey wolf optimization, and one-to-one-based op...

  • Article
  • Open Access
1 Citations
1,516 Views
16 Pages

3 November 2023

Commonly, it is accepted that oncology treatment would yield outcomes with a certain determinism without any quantitative support or mathematical model that establishes such determinations. Nowadays, with the advent of nanomedicine, the targeting dru...

  • Article
  • Open Access
2 Citations
4,111 Views
24 Pages

Seismo-VLAB: An Open-Source Software for Soil–Structure Interaction Analyses

  • Danilo S. Kusanovic,
  • Elnaz E. Seylabi,
  • Peyman Ayoubi,
  • Kien T. Nguyen,
  • Joaquin Garcia-Suarez,
  • Albert R. Kottke and
  • Domniki Asimaki

3 November 2023

In the fields of structural and geotechnical engineering, improving the understanding of soil–structure interaction (SSI) effects is critical for earthquake-resistant design. Engineers and practitioners often resort to finite element (FE) softw...

  • Article
  • Open Access
2 Citations
1,673 Views
21 Pages

3 November 2023

A nonlinear equation f(x)=0 is mathematically transformed to a coupled system of quasi-linear equations in the two-dimensional space. Then, a linearized approximation renders a fractional iterative scheme xn+1=xnf(xn)/[a+bf(xn)], which require...

  • Article
  • Open Access
6 Citations
1,418 Views
24 Pages

The Shape of a Compressible Drop on a Vibrating Solid Plate

  • Andrey Ivantsov,
  • Tatyana Lyubimova,
  • Grigoriy Khilko and
  • Dmitry Lyubimov

3 November 2023

The influence of high-frequency vibrations on the shape of a compressible drop placed on an oscillating solid substrate is studied in this paper. Due to the significant difference in characteristic temporal scales, the average and pulsating motions o...

  • Article
  • Open Access
5 Citations
2,833 Views
34 Pages

A Systematic Approach to Delay Functions

  • Christopher N. Angstmann,
  • Stuart-James M. Burney,
  • Bruce I. Henry,
  • Byron A. Jacobs and
  • Zhuang Xu

2 November 2023

We present a systematic introduction to a class of functions that provide fundamental solutions for autonomous linear integer-order and fractional-order delay differential equations. These functions, referred to as delay functions, are defined throug...

  • Article
  • Open Access
1 Citations
1,626 Views
18 Pages

2 November 2023

This paper investigates the dynamics of rent-seeking games that include political competition and policymaker cost model. The local asymptotic stability of multiple equilibrium points and Nash equilibrium points are studied. In the rent-seeking model...

  • Article
  • Open Access
2 Citations
1,614 Views
17 Pages

Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials

  • Shahid Ahmad Wani,
  • Georgia Irina Oros,
  • Ali M. Mahnashi and
  • Waleed Hamali

2 November 2023

The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials. These polynomials possess beneficial properties exhibited in functional and differ...

  • Article
  • Open Access
1,352 Views
15 Pages

2 November 2023

Tuberculosis (TB) has a long history as a serious disease induced by its causative agent Mycobacterium tuberculosis. This pathogen manipulates the host’s immune response, thereby stimulating inflammatory processes, which leads to an even greate...

  • Article
  • Open Access
5 Citations
1,986 Views
31 Pages

2 November 2023

We consider the evolution of a finite population constituted by susceptible and infectious individuals and compare several time-inhomogeneous deterministic models with their stochastic counterpart based on finite birth processes. For these processes,...

  • Article
  • Open Access
4 Citations
1,578 Views
19 Pages

2 November 2023

Blockchain-based federated learning (BCFL) has been regarded as an emerging data sharing paradigm in edge networks of internet-of-things (IoT) because of its advantages, such as decentralization, collaborative model training, and privacy protection....

  • Article
  • Open Access
5 Citations
1,533 Views
17 Pages

Concerning a Novel Integral Operator and a Specific Category of Starlike Functions

  • Ayotunde Olajide Lasode,
  • Timothy Oloyede Opoola,
  • Isra Al-Shbeil,
  • Timilehin Gideon Shaba and
  • Huda Alsaud

2 November 2023

In this study, a novel integral operator that extends the functionality of some existing integral operators is presented. Specifically, the integral operator acts as the inverse operator to the widely recognized Opoola differential operator. By makin...

  • Article
  • Open Access
1 Citations
2,228 Views
17 Pages

Individualized Prediction of Blood Glucose Outcomes Using Compositional Data Analysis

  • Alvis Cabrera,
  • Ernesto Estremera,
  • Aleix Beneyto,
  • Lyvia Biagi,
  • Iván Contreras,
  • Josep Antoni Martín-Fernández and
  • Josep Vehí

2 November 2023

This paper presents an individualized multiple linear regression model based on compositional data where we predict the mean and coefficient of variation of blood glucose in individuals with type 1 diabetes for the long-term (2 and 4 h). From these p...

  • Article
  • Open Access
4 Citations
2,672 Views
17 Pages

Development of Mathematical Models for Industrial Processes Using Dynamic Neural Networks

  • Srečko Herceg,
  • Željka Ujević Andrijić,
  • Nikola Rimac and
  • Nenad Bolf

2 November 2023

Dynamic neural networks (DNNs) are a type of artificial neural network (ANN) designed to work with sequential data where context in time is important. Unlike traditional static neural networks that process data in a fixed order, dynamic neural networ...

  • Article
  • Open Access
9 Citations
2,306 Views
29 Pages

1 November 2023

The recycling of waste products can bring enormous economic and environmental benefits to supply chain participants. Under the government’s reward and punishment system, the manufacturing industry is facing unfolded pressure to minimize carbon...

  • Article
  • Open Access
1 Citations
1,408 Views
34 Pages

Optimal Hysteresis Control via a Queuing System with Two Heterogeneous Energy-Consuming Servers

  • Ciro D’Apice,
  • Maria Pia D’Arienzo,
  • Alexander Dudin and
  • Rosanna Manzo

1 November 2023

A queuing system having two different servers is under study. Demands enter the system according to a Markov arrival process. Service times have phase-type distribution. Service of demands is possible only if the fixed number of energy units, probabl...

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Mathematics - ISSN 2227-7390