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Mathematics, Volume 11, Issue 13

2023 July-1 - 245 articles

Cover Story: Two nutrient–phytoplankton–zooplankton (NZP) models for a closed ecosystem that incorporates a delay in nutrient recycling, obtained using the gamma distribution function with one or two degrees of freedom, are analysed. The purpose of the study is to investigate how the mean delay of the distribution and total nutrients affect the stability of the equilibrium solutions. It is found that both models exhibit comparable qualitative dynamics. Three equilibrium points are found and at most, one of them is locally asymptotically stable. The change in local stability takes place through transcritical bifurcation. In some hypotheses on the functional response, the NPZ equilibrium loses stability via a supercritical Hopf bifurcation, causing the apparition of a stable limit cycle. View this paper
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Articles (245)

  • Article
  • Open Access
9 Citations
2,132 Views
30 Pages

7 July 2023

Axially moving wing aircraft can better adapt to the flight environment, improve flight performance, reduce flight resistance, and improve flight distance. This paper simplifies the fully unfolded axially moving wing into a stepped cantilever plate m...

(This article belongs to the Special Issue Modeling and Analysis in Dynamical Systems and Bistability)
  • Editorial
  • Open Access
1,570 Views
4 Pages

Preface to the Special Issue on “Differential Games and Its Applications”

  • Bruno Antonio Pansera,
  • Massimiliano Ferrara,
  • Luca Guerrini and
  • Tiziana Ciano

7 July 2023

The study of differential games has practical applications in the analysis and resolution of conflict issues by the use of differential equations [...]

(This article belongs to the Special Issue Differential Games and Its Applications)
  • Article
  • Open Access
9 Citations
9,295 Views
17 Pages

7 July 2023

The article presents the predictive capabilities of a fuzzy multi-criteria evaluation system that operates on the basis of a non-fuzzy neural approach, but also one that is capable of implementing a learning paradigm and working with vague concepts....

(This article belongs to the Special Issue Advances in Fuzzy Logic and Artificial Neural Networks)
  • Article
  • Open Access
7 Citations
2,269 Views
30 Pages

7 July 2023

The electrical energy supply of industrial equipment is provided by electrical power stations with high- (HT), medium- (MV) and low-voltage (LV) busbars. Consumers are connected to either MV or LV busbars. In this paper, a real power station was cons...

  • Article
  • Open Access
6 Citations
2,496 Views
18 Pages

A Cubic Class of Iterative Procedures for Finding the Generalized Inverses

  • Munish Kansal,
  • Manpreet Kaur,
  • Litika Rani and
  • Lorentz Jäntschi

7 July 2023

This article considers the iterative approach for finding the Moore–Penrose inverse of a matrix. A convergence analysis is presented under certain conditions, demonstrating that the scheme attains third-order convergence. Moreover, theoretical...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
6 Citations
1,761 Views
16 Pages

7 July 2023

We consider the coefficient inverse problem for the 2D acoustic equation. The problem is recovering the speed of sound in the medium (which depends only on the depth) and the density (function of both variables). We describe the method, based on the...

(This article belongs to the Special Issue Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators)
  • Article
  • Open Access
4 Citations
2,905 Views
18 Pages

Light Pollution Index System Model Based on Markov Random Field

  • Liangkun Fang,
  • Zhangjie Wu,
  • Yuan Tao and
  • Jinfeng Gao

7 July 2023

Light pollution is one of the environmental pollution problems facing the world. The research on the measurement standard of light pollution is not perfect at present. In this paper, we proposed a Markov random field model to determine the light poll...

  • Article
  • Open Access
2 Citations
2,963 Views
23 Pages

7 July 2023

Based on China’s summary of three years of experience and measures in the prevention and control of the COVID-19 epidemic, we have built a COVID-19 prevention and control model integrating health and medical detection, big data information tech...

(This article belongs to the Special Issue Mathematical Modeling and Data Science for Biology and Medicine)
  • Article
  • Open Access
3 Citations
5,579 Views
26 Pages

Early Identification of Risk Factors in Non-Alcoholic Fatty Liver Disease (NAFLD) Using Machine Learning

  • Luis Rolando Guarneros-Nolasco,
  • Giner Alor-Hernández,
  • Guillermo Prieto-Avalos and
  • José Luis Sánchez-Cervantes

7 July 2023

Liver diseases are a widespread and severe health concern, affecting millions worldwide. Non-alcoholic fatty liver disease (NAFLD) alone affects one-third of the global population, with some Latin American countries seeing rates exceeding 50%. This a...

(This article belongs to the Special Issue Advances in Machine Learning and Applications)
  • Article
  • Open Access
3 Citations
5,729 Views
20 Pages

7 July 2023

In this study, we investigated a new zeta formula in which the zeta function can be expressed as the sum of an infinite series of delta and cosine functions. Our findings demonstrate that this formula possesses duality characteristics and we establis...

(This article belongs to the Special Issue New Trends in Special Functions and Applications)
  • Article
  • Open Access
2 Citations
2,472 Views
19 Pages

Link Prediction Based on Heterogeneous Social Intimacy and Its Application in Social Influencer Integrated Marketing

  • Shugang Li,
  • He Zhu,
  • Zhifang Wen,
  • Jiayi Li and ,
  • Yuning Zang,
  • Jiayi Zhang,
  • Ziqian Yan and
  • Yanfang Wei
  • + 3 authors+ 0 author

7 July 2023

The social influencer integrated marketing strategy, which builds social influencers through potential users, has gained widespread attention in the industry. Traditional Scoring Link Prediction Algorithms (SLPA) mainly rely on homogeneous network in...

(This article belongs to the Special Issue Big Data and Complex Networks)
  • Article
  • Open Access
12 Citations
1,817 Views
10 Pages

SOS Approach for Practical Stabilization of Tempered Fractional-Order Power System

  • Hamdi Gassara,
  • Dhouha Kharrat,
  • Abdellatif Ben Makhlouf,
  • Lassaad Mchiri and
  • Mohamed Rhaima

7 July 2023

Fractional systems have been widely utilized in various fields, such as mathematics, physics and finance, providing a versatile framework for precise measurements and calculations involving partial quantities. This paper aims to develop a novel polyn...

(This article belongs to the Special Issue Mathematical Modeling and Optimization of Energy Systems)
  • Article
  • Open Access
1,809 Views
20 Pages

7 July 2023

Ocular axial length (AL) measurement is important in ophthalmology because it should be considered prior to operations, such as strabismus surgery or cataract surgery, and the automation of AL measurement with easily obtained retinal fundus images ha...

  • Article
  • Open Access
22 Citations
4,837 Views
14 Pages

Mathematical Modelling of Fused Deposition Modeling (FDM) 3D Printing of Poly Vinyl Alcohol Parts through Statistical Design of Experiments Approach

  • Mahmoud Moradi,
  • Mojtaba Karamimoghadam,
  • Saleh Meiabadi,
  • Giuseppe Casalino and ,
  • Mohammad Ghaleeh,
  • Bobymon Baby,
  • Harikrishna Ganapathi,
  • Jomal Jose,
  • Muhammed Shahzad Abdulla and
  • Davood Khodadad
  • + 9 authors+ 4 authors

7 July 2023

This paper explores the 3D printing of poly vinyl alcohol (PVA) using the fused deposition modeling (FDM) process by conducting statistical modeling and optimization. This study focuses on varying the infill percentage (10–50%) and patterns (Cu...

(This article belongs to the Special Issue Advances in Control Systems and Automatic Control)
  • Article
  • Open Access
3 Citations
2,445 Views
18 Pages

7 July 2023

The progress of technology involves the continuous improvement of current machines to attain higher levels of energy efficiency, operational dependability, and effectiveness. Induction heating is a thermal process that involves the heating of materia...

(This article belongs to the Special Issue Evolutionary Computation 2022)
  • Article
  • Open Access
2,123 Views
17 Pages

7 July 2023

Alzheimer’s disease (AD) affects about a tenth of the population aged over 65 and nearly half of those over 85, and the number of AD patients continues to grow. Several studies have shown that the ϵ4 variant of the apolipoprotein E (APOE)...

(This article belongs to the Special Issue Application of the Bayesian Method in Statistical Modeling)
  • Article
  • Open Access
10 Citations
2,350 Views
15 Pages

7 July 2023

This article presents a new family of symmetric heavy-tailed distributions. This model is based on the ratio of two independent random variables; one with a normal distribution in the numerator and another with a Birnbaum–Saunders distribution...

  • Article
  • Open Access
11 Citations
2,750 Views
19 Pages

Cluster-Based Vehicle-to-Everything Model with a Shared Cache

  • Andrei Vladyko,
  • Gleb Tambovtsev,
  • Elena Podgornaya,
  • Samia Allaoua Chelloug and ,
  • Reem Alkanhel and
  • Pavel Plotnikov
  • + 1 author+ 0 author

7 July 2023

This paper presents an analysis of the effectiveness of the element interaction model in a vehicular ad hoc network (VANET). An analysis of the mathematical model and its numerical solution for the system of boundary device interactions in the tradit...

(This article belongs to the Special Issue Network Planning and Internet of Things: Mathematical Modeling, Connectivity Problems, and Applications)
  • Article
  • Open Access
1 Citations
1,631 Views
10 Pages

Novel Contributions to the System of Fractional Hamiltonian Equations

  • Tayeb Mahrouz,
  • Abdelaziz Mennouni,
  • Abdelkader Moumen and
  • Tariq Alraqad

7 July 2023

This work aims to analyze a new system of two fractional Hamiltonian equations. We propose an effective method for transforming the established model into a system of two distinct equations. Two functionals that are connected to the converted system...

(This article belongs to the Special Issue Advances in Fractional Operators and Their Applications in Physical Sciences)
  • Article
  • Open Access
1 Citations
2,911 Views
22 Pages

Probability-Distribution-Guided Adversarial Sample Attacks for Boosting Transferability and Interpretability

  • Hongying Li,
  • Miaomiao Yu,
  • Xiaofei Li,
  • Jun Zhang and ,
  • Shuohao Li,
  • Jun Lei and
  • Hairong Huang
  • + 2 authors+ 0 author

6 July 2023

In recent years, with the rapid development of technology, artificial intelligence (AI) security issues represented by adversarial sample attack have aroused widespread concern in society. Adversarial samples are often generated by surrogate models a...

  • Article
  • Open Access
12 Citations
4,752 Views
25 Pages

Compact Integer Programs for Depot-Free Multiple Traveling Salesperson Problems

  • José Alejandro Cornejo-Acosta,
  • Jesús García-Díaz,
  • Julio César Pérez-Sansalvador and
  • Carlos Segura

6 July 2023

Multiple traveling salesperson problems (mTSP) are a collection of problems that generalize the classical traveling salesperson problem (TSP). In a nutshell, an mTSP variant seeks a minimum cost collection of m paths that visit all vertices of a give...

(This article belongs to the Special Issue Mathematical Programming, Optimization and Operations Research)
  • Article
  • Open Access
4 Citations
2,057 Views
14 Pages

6 July 2023

The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integ...

  • Article
  • Open Access
5 Citations
2,140 Views
18 Pages

6 July 2023

Massive MIMO systems can support a large number of Internet of Things (IoT) devices, even if the number of IoT devices exceeds the number of service antennas in a single base station (BS) located at the data center. In order to improve the performanc...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
12 Citations
4,622 Views
37 Pages

6 July 2023

Plankton occupy a vital place in the marine ecosystem due to their essential role. However small or microscopic, their absence can bring the entire life process to a standstill. In this work, we have proposed a prey–predator ecological model co...

(This article belongs to the Special Issue Complex Biological Systems and Mathematical Biology)
  • Article
  • Open Access
2 Citations
3,154 Views
34 Pages

6 July 2023

With the motivation of long-term care 2.0 plans, forecasting models to identify potential customers of long-term care insurance (LTCI) are an important and interesting issue. From the limited literature, most past researchers emphasize traditional st...

(This article belongs to the Special Issue Industrial Mathematics in Management and Engineering)
  • Article
  • Open Access
2 Citations
2,422 Views
19 Pages

Numerical Solution of Thermal Phenomena in Welding Problems

  • Mario Freire-Torres,
  • Manuel Colera and
  • Jaime Carpio

6 July 2023

We present a novel finite element method to solve the thermal variables in welding problems. The mathematical model is based on the enthalpy formulation of the energy conservation law, which is simultaneously valid for the solid, liquid, and mushy re...

  • Feature Paper
  • Review
  • Open Access
57 Citations
11,750 Views
37 Pages

6 July 2023

The availability of computational power in the domain of Prognostics and Health Management (PHM) with deep learning (DL) applications has attracted researchers worldwide. Industrial robots are the prime mover of modern industry. Industrial robots com...

(This article belongs to the Special Issue Recent Advances in Machine learning and Deep Learning Theories: Towards Intelligent Fault Diagnosis)
  • Feature Paper
  • Article
  • Open Access
2 Citations
3,499 Views
16 Pages

Assessing Multinomial Distributions with a Bayesian Approach

  • Luai Al-Labadi,
  • Petru Ciur,
  • Milutin Dimovic and
  • Kyuson Lim

6 July 2023

This paper introduces a unified Bayesian approach for testing various hypotheses related to multinomial distributions. The method calculates the Kullback–Leibler divergence between two specified multinomial distributions, followed by comparing...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
6 Citations
3,362 Views
20 Pages

Data-Driven Diffraction Loss Estimation for Future Intelligent Transportation Systems in 6G Networks

  • Sambit Pattanaik,
  • Agbotiname Lucky Imoize,
  • Chun-Ta Li,
  • Sharmila Anand John Francis and ,
  • Cheng-Chi Lee and
  • Diptendu Sinha Roy
  • + 1 author+ 0 author

6 July 2023

The advancement of 6G networks is driven by the need for customer-centric communication and network control, particularly in applications such as intelligent transport systems. These applications rely on outdoor communication in extremely high-freque...

(This article belongs to the Special Issue Advances in Mobile Network and Intelligent Communication)
  • Article
  • Open Access
9 Citations
3,649 Views
24 Pages

6 July 2023

With the global outbreak of COVID-19, the panic-buying incidents triggered by the variants of the Omicron strain have severely affected the normal social order. This paper considers the complex interest game and interactive relationship among multipl...

  • Article
  • Open Access
9 Citations
2,504 Views
11 Pages

6 July 2023

The Chinese government clearly put forward a strategy to speed up the development of the digital economy in “the 14th Five-Year” Plan, which will become the booster of China’s development. China has a vast territory and the state of...

(This article belongs to the Special Issue Data-Driven Decision Making: Models, Methods and Applications)
  • Editorial
  • Open Access
3 Citations
1,719 Views
2 Pages

5 July 2023

Within the last few years, many of the efforts of the fractional calculus (FC) community have been directed towards clarifying the nature and essential properties of the operators known as fractional integrals and derivatives [...]

(This article belongs to the Special Issue Fractional Integrals and Derivatives: “True” versus “False” II)
  • Article
  • Open Access
7 Citations
1,796 Views
14 Pages

5 July 2023

In this paper, we present a novel integral transform known as the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT) of integrable (and...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
21 Citations
3,300 Views
19 Pages

The Chen–Perks Distribution: Properties and Reliability Applications

  • Luis Carlos Méndez-González,
  • Luis Alberto Rodríguez-Picón,
  • Manuel Iván Rodríguez Borbón and
  • Hansuk Sohn

5 July 2023

In this paper, a statistical distribution is presented that possesses the ability to describe failure rates exhibiting both monotonic and non-monotonic behaviors, and the bathtub curve, which represents the performance of a device in reliability engi...

(This article belongs to the Special Issue Mathematical Applications in Industrial Engineering)
  • Article
  • Open Access
8 Citations
1,977 Views
34 Pages

5 July 2023

Spectral models are often used in the study of geodynamo problems. Physical fields in these models are presented as stationary basic modes combinations with time-dependent amplitudes. To construct a model it is necessary to calculate the modes parame...

(This article belongs to the Special Issue Mathematics in Geophysical Research)
  • Article
  • Open Access
1 Citations
2,531 Views
20 Pages

5 July 2023

This paper aims to explore the impact of the purchase regret of consumers on dynamic closed-loop supply chains (CLSCs) under discrete-time conditions. Durable products are mostly traded under discrete-time conditions, and consumers tend to have diffe...

  • Article
  • Open Access
7 Citations
2,383 Views
15 Pages

5 July 2023

The primary goal of this work is to solve the problem of drug diffusion through a thin membrane using a differential quadrature approach with drastically different shape functions, such as Lagrange interpolation and discrete singular convolution (the...

(This article belongs to the Special Issue Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition)
  • Article
  • Open Access
21 Citations
2,395 Views
11 Pages

5 July 2023

This study focuses on the solution of the rotationally symmetric Rossler attractor by using the adaptive predictor–corrector algorithm (Apc-ABM-method) and the fractional Laplace decomposition method (ρ-Laplace DM). Furthermore, a compariso...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
2,678 Views
12 Pages

Alleviating Long-Tailed Image Classification via Dynamical Classwise Splitting

  • Ye Yuan,
  • Jiaqi Wang,
  • Xin Xu,
  • Ruoshi Li and ,
  • Yongtong Zhu,
  • Lihong Wan,
  • Qingdu Li and
  • Na Liu
  • + 3 authors+ 0 author

5 July 2023

With the rapid increase in data scale, real-world datasets tend to exhibit long-tailed class distributions (i.e., a few classes account for most of the data, while most classes contain only a few data points). General solutions typically exploit clas...

(This article belongs to the Special Issue Advanced Artificial Intelligence Models and Its Applications)
  • Article
  • Open Access
1 Citations
2,957 Views
19 Pages

5 July 2023

Domain adaptation is a learning strategy that aims to improve the performance of models in the current field by leveraging similar domain information. In order to analyze the effects of feature disentangling on domain adaptation and evaluate a model&...

(This article belongs to the Special Issue Computational Methods and Application in Machine Learning)
  • Article
  • Open Access
6 Citations
2,250 Views
13 Pages

5 July 2023

This paper addresses the problem of chaos control in an economic mathematical dynamical model. By regarding the control variables as the bifurcation parameters, the stability of equilibria and the existence of Hopf bifurcations of the relevance feedb...

(This article belongs to the Special Issue Application of Mathematical Method and Models in Dynamic System)
  • Article
  • Open Access
27 Citations
4,880 Views
19 Pages

4 July 2023

A fuzzy graph G is stated to have a set of trees as its tree cover if all the vertices of G are in their union. The maximum weight tree in the tree cover is assumed to be the cost of a tree cover for a fuzzy graph. For an integer β>0, finding...

(This article belongs to the Special Issue Advances and Applications of Soft Computing)
  • Article
  • Open Access
1 Citations
1,359 Views
10 Pages

4 July 2023

This article defines a new class of meromorphic parabolic starlike functions in the punctured unit disc D*={z∈C:0<|z|<1} that includes fixed second coefficients of class As,cdψ,τ,ν,η and the q- hypergeometric functions. For...

(This article belongs to the Special Issue New Trends in Complex Analysis Research, 2nd Edition)
  • Article
  • Open Access
10 Citations
2,595 Views
18 Pages

4 July 2023

The double-holding water tank system is a common non-linear control system that plays a crucial role in process control in the chemical industry. It consists of two cylindrical glass containers: the preset tank and the main tank. The main challenge i...

  • Article
  • Open Access
1 Citations
2,147 Views
15 Pages

4 July 2023

This paper proposes a CKF-MPSP guidance method for hitting stationary targets with impact time and angle constraints for missiles in the presence of modeling errors. This innovative guidance scheme is composed of three parts: First, the model predict...

(This article belongs to the Special Issue Advanced Guidance and Control of Flight Vehicle: Theory and Application)
  • Article
  • Open Access
4 Citations
4,187 Views
19 Pages

4 July 2023

Scholars and investors have been interested in factor models for a long time. This paper builds models using the monthly data of the A-share market. We construct a seven-factor model by adding the Hurst exponent factor and the momentum factor to a Fa...

(This article belongs to the Special Issue Mathematical Modeling and Machine Learning with Application to Economics and Finance)
  • Article
  • Open Access
3 Citations
2,900 Views
19 Pages

An Unconditionally Stable Integration Method for Structural Nonlinear Dynamic Problems

  • Chuanguo Jia,
  • Hongchen Su,
  • Weinan Guo,
  • Yutao Li and ,
  • Biying Wu and
  • Yingqi Gou
  • + 1 author+ 0 author

4 July 2023

This paper presents an unconditionally stable integration method, which introduces a linearly implicit algorithm featuring an explicit displacement expression. The technique that is being considered integrates one Newton iteration into the mean accel...

(This article belongs to the Special Issue Nonlinear Dynamics and Chaos Theory)
  • Article
  • Open Access
9 Citations
2,065 Views
37 Pages

4 July 2023

In survival analyses, infections at the catheter insertion site among kidney patients using portable dialysis machines pose a significant concern. Understanding the bivariate infection recurrence process is crucial for healthcare professionals to mak...

(This article belongs to the Special Issue Advances in Mathematical Modelling and Statistical Methods for Risk Management)
  • Article
  • Open Access
2 Citations
1,602 Views
7 Pages

4 July 2023

We propose an approach for modeling the pattern of the genetic diversity of microsatellite markers in a population with a mixed breeding strategy. Part of the population is reproduced sexually, and part is produced asexually. The method of the propos...

(This article belongs to the Special Issue Mathematical and Computational Methods in Systems Biology)

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Mathematics - ISSN 2227-7390