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Mathematics, Volume 12, Issue 20

2024 October-2 - 144 articles

Cover Story: Life is on a razor’s edge resulting from the random competitive forces of birth and death. We illustrate this aphorism in the context of three Markov chain population models where systematic random immigration events promoting growth are simultaneously balanced with random emigration ones provoking thinning. The origin of mass removals is either determined by external demands or by aging, leading to different conditions of stability. View this paper
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Articles (144)

  • Article
  • Open Access
1,836 Views
21 Pages

21 October 2024

In this paper, we consider propagation direction (which can be used to predict which species will occupy the habitat or win the competition eventually) of a bistable wave for a three-species time-periodic lattice competition system with bistable nonl...

(This article belongs to the Special Issue Nonlinear Systems: Dynamics, Control, Optimization and Applications in Science and Engineering, 3rd Edition)
  • Article
  • Open Access
1 Citations
1,724 Views
15 Pages

Hybrid Extreme Learning for Reliable Short-Term Traffic Flow Forecasting

  • Huayuan Chen,
  • Zhizhe Lin,
  • Yamin Yao,
  • Hai Xie and ,
  • Youyi Song and
  • Teng Zhou
  • + 1 author+ 0 author

21 October 2024

Reliable forecasting of short-term traffic flow is an essential component of modern intelligent transport systems. However, existing methods fail to deal with the non-linear nature of short-term traffic flow, often making the forecasting unreliable....

  • Feature Paper
  • Article
  • Open Access
6 Citations
1,411 Views
48 Pages

21 October 2024

In this article, for the first time, the univariate symmetrized and perturbed hyperbolic tangent activated convolution-type operators of three kinds are introduced. Their approximation properties are presented, i.e., the quantitative convergence to t...

(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
1 Citations
3,839 Views
25 Pages

21 October 2024

In this paper, we propose a modified synthetic control causal analysis for time series data with volatility in terms of absolute value of return outcomes taken into account in constructing the prediction of potential outcomes for time series causal a...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
1 Citations
1,647 Views
19 Pages

21 October 2024

As the “carbon neutrality” strategy is implemented, green technology R&D, a core competitive strength for sustainable enterprise development, is an essential pathway for China’s transformation and green growth. Green technology,...

  • Article
  • Open Access
1,675 Views
19 Pages

21 October 2024

This work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponenti...

  • Article
  • Open Access
3 Citations
1,798 Views
12 Pages

21 October 2024

In this paper, we define and investigate a system of coupled regular diffusion equations in which each concentration acts as a driving term in the next diffusion equation. Such systems can be understood as a kind of cascade process which appear in di...

(This article belongs to the Special Issue Applications of Partial Differential Equations in Mathematical Physics, 2nd Edition)
  • Article
  • Open Access
29 Citations
3,168 Views
18 Pages

Fast Color Image Encryption Algorithm Based on DNA Coding and Multi-Chaotic Systems

  • Shaofang Wang,
  • Jingguo Pan,
  • Yanrong Cui,
  • Zhongju Chen and
  • Wei Zhan

21 October 2024

At present, there is a growing emphasis on safeguarding image data, yet conventional encryption methods are full of numerous limitations. In order to tackle the limitations of conventional color image encryption methodologies, such as inefficiency an...

(This article belongs to the Special Issue Chaos-Based Secure Communication and Cryptography, 2nd Edition)
  • Article
  • Open Access
4 Citations
3,642 Views
27 Pages

Advanced Study: Improving the Quality of Cooling Water Towers’ Conductivity Using a Fuzzy PID Control Model

  • You-Shyang Chen,
  • Ying-Hsun Hung,
  • Mike Yau-Jung Lee,
  • Jieh-Ren Chang and ,
  • Chien-Ku Lin and
  • Tai-Wen Wang
  • + 1 author+ 0 author

21 October 2024

Cooling water towers are commonly used in industrial and commercial applications. Industrial sites frequently have harsh environments, with certain characteristics such as poor air quality, close proximity to the ocean, large quantities of dust, or w...

(This article belongs to the Special Issue Fuzzy Applications in Industrial Engineering, 3rd Edition)
  • Feature Paper
  • Article
  • Open Access
8 Citations
4,154 Views
29 Pages

Applying Multi-Task Deep Learning Methods in Electricity Load Forecasting Using Meteorological Factors

  • Kai-Bin Huang,
  • Tian-Shyug Lee,
  • Jonathan Lee,
  • Jy-Ping Wu and ,
  • Leemen Lee and
  • Hsiu-Mei Lee
  • + 1 author+ 0 author

21 October 2024

The steady rise in carbon emissions has significantly exacerbated the global climate crisis, posing a severe threat to ecosystems due to the greenhouse gas effect. As one of the most pressing challenges of our time, the need for an immediate transiti...

(This article belongs to the Special Issue Applied Statistics in Management Sciences)
  • Article
  • Open Access
10 Citations
2,777 Views
20 Pages

An Efficient Fusion Network for Fake News Classification

  • Muhammad Swaileh A. Alzaidi,
  • Alya Alshammari,
  • Abdulkhaleq Q. A. Hassan,
  • Samia Nawaz Yousafzai and ,
  • Adel Thaljaoui,
  • Norma Latif Fitriyani,
  • Changgyun Kim and
  • Muhammad Syafrudin
  • + 3 authors+ 0 author

20 October 2024

Nowadays, it is very tough to differentiate between real news and fake news due to fast-growing social networks and technological progress. Manipulative news is defined as calculated misinformation with the aim of creating false beliefs. This kind of...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
2 Citations
1,714 Views
25 Pages

Performance Optimization with LPV Synthesis for Disturbance Attenuation in Planar Motors

  • Khac Huan Su,
  • Keunhoon Park,
  • Young Seop Son and
  • Youngwoo Lee

20 October 2024

Optimizing the performance of motion control systems with variations in nonlinear parameters is not an easy task. To accomplish this task, it is important to design the controller using the linear system approach. In this study, a linear parameter va...

  • Feature Paper
  • Article
  • Open Access
1,648 Views
13 Pages

20 October 2024

In this paper, we provide a symmetric formula and a duality formula relating multiple zeta values and zeta-star values. We find that the summation ∑a+b=r−1(−1)aζ★(a+2,{2}p−1)ζ★({1}b+1,{2}q) equals ζ ...

(This article belongs to the Special Issue Polynomials: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,792 Views
19 Pages

Dynamic Programming-Based Approach to Model Antigen-Driven Immune Repertoire Synthesis

  • Alexander S. Bratus,
  • Gennady Bocharov and
  • Dmitry Grebennikov

20 October 2024

This paper presents a novel approach to modeling the repertoire of the immune system and its adaptation in response to the evolutionary dynamics of pathogens associated with their genetic variability. It is based on application of a dynamic programmi...

(This article belongs to the Special Issue Applied Mathematics in Disease Control and Dynamics)
  • Article
  • Open Access
5 Citations
1,787 Views
24 Pages

On the Generalized (p,q)-ϕ-Calculus with Respect to Another Function

  • Sina Etemad,
  • Ivanka Stamova,
  • Sotiris K. Ntouyas and
  • Jessada Tariboon

20 October 2024

In the present paper, we generalized some of the operators defined in (p,q)-calculus with respect to another function. More precisely, the generalized (p,q)-ϕ-derivatives and (p,q)-ϕ-integrals were introduced with respect to the strictly in...

(This article belongs to the Special Issue Nonlinear Equations: Theory, Methods, and Applications III)
  • Article
  • Open Access
13 Citations
2,619 Views
16 Pages

Driver Distraction Detection Based on Fusion Enhancement and Global Saliency Optimization

  • Xueda Huang,
  • Shuangshuang Gu,
  • Yuanyuan Li,
  • Guanqiu Qi and ,
  • Zhiqin Zhu and
  • Yiyao An
  • + 1 author+ 0 author

20 October 2024

Driver distraction detection not only effectively prevents traffic accidents but also promotes the development of intelligent transportation systems. In recent years, thanks to the powerful feature learning capabilities of deep learning algorithms, d...

  • Article
  • Open Access
2 Citations
2,857 Views
15 Pages

20 October 2024

Universal adversarial perturbation (UAP) exhibits universality as it is independent of specific images. Although previous investigations have shown that the classification of natural images is susceptible to universal adversarial attacks, the impact...

(This article belongs to the Special Issue New Solutions for Multimedia and Artificial Intelligence Security)
  • Article
  • Open Access
3 Citations
3,612 Views
16 Pages

20 October 2024

Variational autoencoders (VAEs) are popular for their robust nonlinear representation capabilities and have recently achieved notable advancements in the problem of missing data imputation. However, existing imputation methods often exhibit instabili...

(This article belongs to the Special Issue Applied Mathematics in Data Science and High-Performance Computing)
  • Article
  • Open Access
4 Citations
4,098 Views
21 Pages

20 October 2024

A robust biometric system is essential to mitigate various security threats. Electroencephalography (EEG) brain signals present a promising alternative to other biometric traits due to their sensitivity, non-duplicability, resistance to theft, and in...

(This article belongs to the Special Issue Computational Intelligence and Human–Computer Interaction: Modern Methods and Applications, 2nd Edition)
  • Article
  • Open Access
1 Citations
2,234 Views
30 Pages

AI-Powered Approaches for Hypersurface Reconstruction in Multidimensional Spaces

  • Kostadin Yotov,
  • Emil Hadzhikolev,
  • Stanka Hadzhikoleva and
  • Mariyan Milev

19 October 2024

The present article explores the possibilities of using artificial neural networks to solve problems related to reconstructing complex geometric surfaces in Euclidean and pseudo-Euclidean spaces, examining various approaches and techniques for traini...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2,261 Views
23 Pages

19 October 2024

The paper develops an innovatively adaptive bi-level variable selection methodology for quantile regression models with a diverging number of covariates. Traditional variable selection techniques in quantile regression, such as the lasso and group la...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
11 Citations
2,736 Views
21 Pages

19 October 2024

In the field of education, the accurate prediction of students’ future performance is essential for personalized instruction and efficient allocation of resources. Such predictions not only help education professionals develop targeted educatio...

  • Article
  • Open Access
2,838 Views
12 Pages

19 October 2024

The topological Dehn twists have several applications in mathematical sciences as well as in physical sciences. The interplay between homotopy theory and Dehn twists exposes a rich set of properties. This paper generalizes the Dehn twists by proposin...

(This article belongs to the Special Issue Geometry and Topology with Applications)
  • Article
  • Open Access
9 Citations
4,155 Views
20 Pages

19 October 2024

A physics-informed convolutional neural network (PICNN) is proposed to simulate two-phase flow in porous media with time-varying well controls. While most PICNNs in the existing literature worked on parameter-to-state mapping, our proposed network pa...

(This article belongs to the Special Issue Modeling of Multiphase Flow Phenomena)
  • Article
  • Open Access
4 Citations
1,669 Views
19 Pages

19 October 2024

As an extension of quasi-continuity in general topology, we define soft quasi-continuity. We show that this notion is equivalent to the known notion of soft semi-continuity. Next, we define soft weak quasi-continuity. With the help of examples, we pr...

  • Article
  • Open Access
4 Citations
3,395 Views
17 Pages

Shift-Invariance Robustness of Convolutional Neural Networks in Side-Channel Analysis

  • Marina Krček,
  • Lichao Wu,
  • Guilherme Perin and
  • Stjepan Picek

18 October 2024

Convolutional neural networks (CNNs) offer unrivaled performance in profiling side-channel analysis. This claim is corroborated by numerous results where CNNs break targets protected with masking and hiding countermeasures. One hiding countermeasure...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
2 Citations
2,413 Views
16 Pages

A Sixth-Order Cubic B-Spline Approach for Solving Linear Boundary Value Problems: An In-Depth Analysis and Comparative Study

  • Ram Kishun Lodhi,
  • Moustafa S. Darweesh,
  • Abdelkarim Aydi,
  • Lioua Kolsi and ,
  • Anil Sharma and
  • Katta Ramesh
  • + 1 author+ 0 author

18 October 2024

This research presents an efficient and highly accurate cubic B-spline method (CBSM) for solving second-order linear boundary value problems (BVPs). The method achieves sixth-order convergence, supported by rigorous error analysis, ensuring rapid err...

  • Article
  • Open Access
7 Citations
2,961 Views
16 Pages

A Two-Stage Facial Kinematic Control Strategy for Humanoid Robots Based on Keyframe Detection and Keypoint Cubic Spline Interpolation

  • Ye Yuan,
  • Jiahao Li,
  • Qi Yu,
  • Jian Liu and ,
  • Zongdao Li,
  • Qingdu Li and
  • Na Liu
  • + 2 authors+ 0 author

18 October 2024

A plentiful number of facial expressions is the basis of natural human–robot interaction for high-fidelity humanoid robots. The facial expression imitation of humanoid robots involves the transmission of human facial expression data to servos s...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
8 Citations
4,544 Views
19 Pages

18 October 2024

In this paper, we present a methodology for the numerical solving of partial differential equations in 2D geometries with piecewise smooth boundaries via finite element method (FEM) using a Quantized Tensor Train (QTT) format. During the calculations...

  • Article
  • Open Access
3 Citations
1,747 Views
20 Pages

Efficient Solutions for Stochastic Fractional Differential Equations with a Neutral Delay Using Jacobi Poly-Fractonomials

  • Afshin Babaei,
  • Sedigheh Banihashemi,
  • Behrouz Parsa Moghaddam,
  • Arman Dabiri and
  • Alexandra Galhano

18 October 2024

This paper introduces a novel numerical technique for solving fractional stochastic differential equations with neutral delays. The method employs a stepwise collocation scheme with Jacobi poly-fractonomials to consider unknown stochastic processes....

(This article belongs to the Special Issue Fractional Differential Equations, Inclusions and Inequalities with Applications II)
  • Article
  • Open Access
2 Citations
1,652 Views
20 Pages

18 October 2024

In the Internet age, the development of intelligent software has broken the limits of multilingual communication. Recognizing that the data collected on rumor propagation are inherently discrete, this study introduces a novel SIR discrete Internet ru...

  • Feature Paper
  • Article
  • Open Access
1,568 Views
24 Pages

An Observer-Based View of Euclidean Geometry

  • Newshaw Bahreyni,
  • Carlo Cafaro and
  • Leonardo Rossetti

18 October 2024

An influence network of events is a view of the universe based on events that may be related to one another via influence. The network of events forms a partially ordered set which, when quantified consistently via a technique called chain projection...

  • Article
  • Open Access
41 Citations
9,042 Views
16 Pages

18 October 2024

Early prediction of student performance in online programming courses is essential for implementing timely interventions to enhance academic outcomes. This study aimed to predict academic success by comparing four machine learning models: Logistic Re...

(This article belongs to the Special Issue Data Mining and Machine Learning with Applications, 2nd Edition)
  • Article
  • Open Access
1,379 Views
12 Pages

18 October 2024

Finding the highest possible cardinality, Aq(n,d;k), of the set of k-dimensional subspaces in Fqn, also known as codewords, is a fundamental problem in constant dimension codes (CDCs). CDCs find applications in a number of domains, including distribu...

  • Article
  • Open Access
3 Citations
1,822 Views
12 Pages

18 October 2024

This article aims to explore the existence and stability of solutions to differential equations involving a ψ-Hilfer fractional derivative in the Caputo sense, which, compared to classical ψ-Hilfer fractional derivatives (in the Riemann&ndash...

  • Article
  • Open Access
2 Citations
1,217 Views
11 Pages

18 October 2024

In the present work, we study a fractional elliptic Kirchhoff-type problem that has a singular term. More precisely, we start by proving some properties related to the energy functional associated with the studied problem. Then, we use the variationa...

(This article belongs to the Topic Fractional Calculus: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
4 Citations
2,424 Views
26 Pages

18 October 2024

In a gas–water interaction problem, the nonlinear relationship between shock wave velocity is introduced into a Hugoniot curve, and a Mie–Grüneisen Equation of state (EOS) is established by setting the Hugoiot curve as the reference...

(This article belongs to the Special Issue Numerical and Computational Methods in Structural Engineering and Mechanics)
  • Article
  • Open Access
1,809 Views
26 Pages

18 October 2024

Microbially induced calcite precipitation is a soil improvement technique in which bacteria are used to produce calcium carbonate (biocement), precipitated after the hydrolysis of urea by the urease enzyme present in the microorganisms. This techniqu...

(This article belongs to the Special Issue Recent Advances in Finite Element Methods with Applications)
  • Article
  • Open Access
1 Citations
2,270 Views
11 Pages

18 October 2024

In this paper, we study the asymptotic properties of slowly varying functions of one real variable in the sense of Karamata. We establish analogs of fundamental theorems on uniform convergence and integral representation for slowly varying functions...

(This article belongs to the Special Issue Extreme Value Theory: Theory, Methodology and Applications)
  • Article
  • Open Access
1 Citations
1,087 Views
11 Pages

Regularity of Idempotent Reflexive GP-V’-Rings

  • Liuwen Li,
  • Wenlin Zou and
  • Ying Li

17 October 2024

This paper discusses the regularity of the GP-V’-rings in conjunction with idempotent reflexivity for the first time. We mainly discuss the weak and strong regularity of the GP-V’-rings using generalized weak ideals, weakly right ideals,...

  • Article
  • Open Access
1 Citations
1,514 Views
15 Pages

A Comparison of MLE for Some Index Distributions Based on Censored Samples

  • Yunhan Liu,
  • Changchun Gao,
  • Xiaofeng Liu,
  • Ping Luo and
  • Jianguo Ren

17 October 2024

This paper elucidates the prerequisites for maximum likelihood estimation (MLE) of parameters within the exponential and scale parameter families. Estimation of these parameters is predicated on data derived from censored samples and seeks to adhere...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Feature Paper
  • Article
  • Open Access
3 Citations
2,072 Views
34 Pages

17 October 2024

To be a stakeholder/validator/token holder is not so difficult in the Proof of Stake (POS)-based blockchain networks; that is why the number of validators is large in these networks. These validators play an essential part in the block creation proce...

(This article belongs to the Special Issue Scalability, Sustainability and Security: Searching for New Blockchain Solutions)
  • Article
  • Open Access
5 Citations
1,336 Views
10 Pages

17 October 2024

The present study deals with some fixed-point outcomes under a nonlinear formulation of strict almost contractions in a metric space endued with an arbitrary relation. The outcomes established herein enhance and develop various existing outcomes. To...

(This article belongs to the Special Issue Applied Functional Analysis and Applications: 2nd Edition)
  • Article
  • Open Access
22 Citations
3,460 Views
17 Pages

Predicting Factor of Safety of Slope Using an Improved Support Vector Machine Regression Model

  • Daxing Lei,
  • Yaoping Zhang,
  • Zhigang Lu,
  • Hang Lin and
  • Zheyuan Jiang

17 October 2024

To reduce the disasters caused by slope instability, this paper proposes a new machine learning (ML) model for slope stability prediction. This improved SVR model uses support vector machine regression (SVR) as the basic prediction tool and the grid...

(This article belongs to the Special Issue Numerical Model and Artificial Intelligence in Mining Engineering)
  • Article
  • Open Access
5 Citations
1,851 Views
16 Pages

17 October 2024

In large-format pouch cells for electric vehicles, the issues of elevated and non-uniform temperatures resulting from heat generation are intensified, necessitating the use of liquid cooling systems. The design factors of the liquid cooling system in...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
3 Citations
1,916 Views
17 Pages

Robust Classification via Finite Mixtures of Matrix Variate Skew-t Distributions

  • Abbas Mahdavi,
  • Narayanaswamy Balakrishnan and
  • Ahad Jamalizadeh

17 October 2024

Analysis of matrix variate data is becoming increasingly common in the literature, particularly in the field of clustering and classification. It is well known that real data, including real matrix variate data, often exhibit high levels of asymmetry...

(This article belongs to the Special Issue New Advances and Applications in Image Processing and Computer Vision)
  • Article
  • Open Access
7 Citations
2,934 Views
21 Pages

17 October 2024

This paper introduces a novel leader–follower formation control strategy for autonomous vehicles, aimed at achieving precise trajectory tracking in uncertain environments. The approach is based on a graph guidance law that calculates the desire...

(This article belongs to the Special Issue Modeling, Simulation, Control and Optimization in Engineering with Applications, 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
2,833 Views
29 Pages

Elimination Algorithms for Skew Polynomials with Applications in Cybersecurity

  • Raqeeb Rasheed,
  • Ali Safaa Sadiq and
  • Omprakash Kaiwartya

17 October 2024

It is evident that skew polynomials offer promising directions for developing cryptographic schemes. This paper focuses on exploring skew polynomials and studying their properties with the aim of exploring their potential applications in fields such...

(This article belongs to the Topic Modeling and Practice for Trustworthy and Secure Systems)
  • Article
  • Open Access
1 Citations
2,125 Views
26 Pages

17 October 2024

The concept of probabilistic interval preference ordering sets (PIPOSs) provides a scientific and intuitive framework for solving real-life multi-criteria group decision-making problems. In some areas such as investment decision-making and supplier s...

(This article belongs to the Special Issue Applications of Mathematical Methods and Fuzzy Techniques in Decision Making)
  • Article
  • Open Access
8 Citations
4,926 Views
16 Pages

17 October 2024

In the evolution of the modern “More Electric Aircrafts” (MEAs) concept, higher-pulse rectification systems using differential fork autotransformers play a pivotal role. These systems align with the MEAs concept, which aims to replace tra...

(This article belongs to the Special Issue Mathematical Applications in Electrical Engineering)

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Mathematics - ISSN 2227-7390