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Multiple Solutions for Lie´nard Type Generalized Equations Lie ' nard型广义方程的多重解
Q3 Mathematics Pub Date : 2023-06-02 DOI: 10.37394/23202.2023.22.58
A. Kirichuka, F. Sadyrbaev
Two-point boundary value problems for second-order ordinary differential equations of Lie´nard type are studied. A comparison is made between equations x´´ + f (x) x´2 + g(x) = 0 and x´´ + f (x) x´ + g(x) = 0. In our approach, the Dirichlet boundary conditions are considered. The estimates of the number of solutions in both cases are obtained. These estimates are based on considering the equation of variations around the trivial solution and some additional assumptions. Examples and visualizations are supplied.
研究了一类二阶Lie ' nard型常微分方程的两点边值问题。比较了方程x′′+ f (x) x′2 + g(x) = 0和方程x′′+ f (x) x′+ g(x) = 0。在我们的方法中,考虑了狄利克雷边界条件。得到了两种情况下解的估计数目。这些估计是基于考虑围绕平凡解的变化方程和一些额外的假设。提供了示例和可视化。
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引用次数: 0
Modeling COVID-19 Breakthrough Infections in a Vaccinated Population 在接种疫苗人群中模拟COVID-19突破性感染
Q3 Mathematics Pub Date : 2023-06-02 DOI: 10.37394/23202.2023.22.59
Ming Zhu, E. Agyingi
The consequences of the COVID-19 pandemic that originated in Wuhan, China in 2019 are still being felt globally. At the onset of the pandemic, countries had several measures in place to prevent the spread of the virus. The development and availability of COVID-19 vaccines turned out to be one of the most effective tools for containing the pandemic, especially in developed countries. This paper considers a model of COVID-19 breakthrough infections, which are cases where individuals become infected with COVID-19 despite being fully vaccinated. The model proposed is a type of the SIR model with a compartment accounting for vaccinated individuals and is governed by a system of differential equations. We compute the basic reproduction number of the model and use it to analyze the equilibria for both local and global stability. Further, we use numerical simulations of the model to understand the factors that contribute to breakthrough infections such as vaccination rates, vaccine efficacy, and virus transmission dynamics.
2019年发源于中国武汉的新冠肺炎疫情的影响至今仍在全球范围内蔓延。在大流行开始时,各国采取了若干措施防止病毒传播。事实证明,COVID-19疫苗的开发和供应是遏制大流行的最有效工具之一,特别是在发达国家。本文考虑了COVID-19突破感染模型,即个人在完全接种疫苗的情况下感染COVID-19的情况。所提出的模型是一种SIR模型,具有考虑接种个体的隔室,并由微分方程系统控制。我们计算了模型的基本再现数,并用它分析了局部和全局的平衡点。此外,我们使用该模型的数值模拟来了解导致突破性感染的因素,如疫苗接种率、疫苗效力和病毒传播动力学。
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引用次数: 0
How Often are ADAS Used? Results of a Car Drivers’ Survey ADAS的使用频率如何?一项汽车司机调查结果
Q3 Mathematics Pub Date : 2023-05-29 DOI: 10.37394/23202.2023.22.57
Mariarosaria Picone, Arcangelo Errichiello, A. Cartenì
Safety in automotive systems has been a major concern since the early days of vehicles on the road. In recent decades, automakers worked hard to integrate Advanced Driver Assistance Systems (ADAS) into their vehicles. The aim of the paper is twofold: i) investigate the ADAS evolution over time, a trend that has made current cars safer and paved the way for self-driving mobility; ii) investigate the users’ propensity in using steering wheel controls which, as known, promise an increase in road safety. To do this, both a desk analysis and a mobility survey among Italian car drivers were performed. Survey results allowed us to investigate both the presence of these systems on board the vehicles currently used and their frequency of usage. Precisely, 60% of the respondents currently have the steering wheel controls on board their car to listen to music and/or answer calls. Of those who have these devices, about 60% (68%) of the respondents frequently (high) use steering wheel controls to answer calls (to listen to music). 82% (74%) of the drivers stated that these devices to answer calls (to listen to music) significantly improve both road safety and driving stress, (improve the overall travel experience). Furthermore, it is interesting to observe that steering wheel controls to answer calls are perceived as more useful than those to listen to music (about 8 percentage points more). Finally, among those who do not have steering wheel controls, 89% of the respondents believed they would like to have them in their next car.
自汽车早期上路以来,汽车系统的安全性一直是一个主要问题。近几十年来,汽车制造商努力将高级驾驶辅助系统(ADAS)集成到他们的车辆中。这篇论文的目的有两个:i)研究ADAS随着时间的推移而演变的趋势,这一趋势使当前的汽车更安全,并为自动驾驶汽车铺平了道路;Ii)调查用户使用方向盘控制的倾向,众所周知,方向盘控制有望提高道路安全。为此,研究人员对意大利汽车司机进行了桌面分析和流动性调查。调查结果使我们能够调查这些系统在目前使用的车辆上的存在及其使用频率。确切地说,60%的受访者目前在车上安装了方向盘控制装置,用于听音乐和/或接听电话。在那些拥有这些设备的人中,大约60%(68%)的受访者经常(高)使用方向盘控制来接听电话(听音乐)。82%(74%)的司机表示,这些用于接电话(听音乐)的设备显著提高了道路安全和驾驶压力(改善了整体旅行体验)。此外,有趣的是,人们认为接听电话的方向盘控制比听音乐的方向盘控制更有用(大约高出8个百分点)。最后,在那些没有方向盘控制装置的人中,89%的受访者认为他们希望自己的下一辆车有方向盘控制装置。
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引用次数: 0
Improved Ratio Type Estimators using some Prior Information in Sample Surveys: A Case Study of Fine Particulate Matter in Thailand 在抽样调查中使用一些先验信息的改进比率型估计:以泰国细颗粒物为例研究
Q3 Mathematics Pub Date : 2023-05-29 DOI: 10.37394/23202.2023.22.54
Nuanpan Lawson
Air pollution affects Thai people's health and social life nowadays as it exceeds the standards levels of both Thailand and the World Health Organization. Estimating air pollution data can benefit understanding and determining policies to help deal with this issue. Prior knowledge from past surveys or censuses could be useful for increasing the effect of the estimation. Improved ratio estimators utilizing prior knowledge in simple random sampling without replacement have been advocated. The property of the mean square error of the proposed class of estimators is obtained. We applied the proposed estimators to the fine particulate matter data in Dindang in 2019. The results from the air pollution data illustrate the improved ratio type estimators work better with respect to the existing estimator using some prior information. Existing knowledge of the quartile average and the median of the auxiliary variable gives rise to the best estimators with the lowest mean square errors for estimating fine particulate matter. Nevertheless, the proposed estimators are useful for small sampling fractions which can help in financial and time-consuming.
空气污染已经超过泰国和世界卫生组织的标准水平,影响着泰国人民的健康和社会生活。估计空气污染数据有助于理解和确定政策,以帮助解决这一问题。从过去的调查或人口普查中获得的先验知识可能有助于提高估计的效果。提出了一种利用先验知识进行简单随机抽样而不进行替换的改进比率估计方法。得到了这类估计量的均方误差的性质。我们将提出的估算方法应用于2019年定当市细颗粒物数据。空气污染数据的结果表明,改进的比率型估计器比使用一些先验信息的现有估计器工作得更好。对辅助变量的四分位数平均值和中位数的现有知识可以产生用于估计细颗粒物的均方误差最小的最佳估计器。然而,所提出的估计器对小采样分数是有用的,这可以帮助节省资金和时间。
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引用次数: 0
Machine Learning-based Forecasting of Sensor Data for Enhanced Environmental Sensing 基于机器学习的传感器数据预测增强环境感知
Q3 Mathematics Pub Date : 2023-05-29 DOI: 10.37394/23202.2023.22.55
Marta Narigina, Arturs Kempelis, A. Romānovs
This article presents a study that explores forecasting methods for multivariate time series data, which was collected from sensors monitoring CO2, temperature, and humidity. The article covers the preprocessing stages, such as dealing with missing values, data normalization, and organizing the time-series data into a suitable format for the model. This study aimed to evaluate Long Short-Term Memory (LSTM) networks, Convolutional Neural Networks (CNNs), Vector Autoregressive (VAR) models, Artificial Neural Networks (ANNs), and Random Forest performance in terms of forecasting different environmental dataset parameters. After implementing and testing fifteen different sensor forecast model combinations, it was concluded that the Long Short-Term Memory and Vector Autoregression models produced the most accurate results. The highest accuracy for all models was achieved when forecasting temperature data with CO2 and humidity as inputs. The least accurate models forecasted CO2 levels based on temperature and humidity.
本文介绍了一项研究,探讨了多变量时间序列数据的预测方法,这些数据来自监测二氧化碳、温度和湿度的传感器。本文将介绍预处理阶段,例如处理缺失值、数据规范化以及将时间序列数据组织为适合模型的格式。本研究旨在评估长短期记忆(LSTM)网络、卷积神经网络(cnn)、向量自回归(VAR)模型、人工神经网络(ann)和随机森林在预测不同环境数据集参数方面的性能。在实施和测试了15种不同的传感器预测模型组合后,得出了长短期记忆和向量自回归模型产生最准确结果的结论。当以二氧化碳和湿度作为输入预测温度数据时,所有模型的精度最高。最不准确的模型是根据温度和湿度来预测二氧化碳水平的。
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引用次数: 1
Identifying Road Accident Black Spots using Classical and Modern Approaches 运用经典和现代方法识别道路交通事故黑点
Q3 Mathematics Pub Date : 2023-05-29 DOI: 10.37394/23202.2023.22.56
Ioannis Karamanlis, A. Kokkalis, V. Profillidis, G. Botzoris, A. Galanis
The utilization of conclusions from the data analysis of road traffic accidents is of high importance for the development of targeted traffic safety measures, which will effectively reduce the rate of road traffic accidents, thus promoting road safety. Considering the problems of time and money, it is not practical to improve road safety in all the places where road traffic accidents occur. Therefore, the process of identifying accident-prone locations, known as black spots, is a cost-effective and efficient way to analyze the causes of road accidents and reduce them. Identifying black spots is an effective strategy to reduce accidents. The core methods that may be used in the process of identifying the black spots of a road network are the sorting, grouping, and accident prediction methods. However, in practice, it is easy to overlook certain factors that significantly contribute to defining and characterizing a spot on the road network as black. Therefore, suggestions to carry out projects required to reduce security risks shall not be based on the above methods. Machine learning algorithms that in recent years have been widely used in the field of predicting a road traffic accident cover these weaknesses. They can effectively classify data sets and make a connection between factors and the severity of events. Machine learning algorithms include classification, regression, clustering, and dimensionality reduction. In this work, a study was conducted on road traffic accidents that took place on the national and provincial network of Northern Greece from 2014 to 2018, with the aim of determining the black spots. The study provided the general public access to a database of black spots on the road network of Northern Greece. At the same time, it created a point of reference for the recognition of the points in question located on the entire road network, and selected a black spot determination model, after having compared specific measures to determine the quality of a model, which resulted from the application of a logistic regression and machine learning algorithms.
利用道路交通事故数据分析得出的结论,对于制定有针对性的交通安全措施具有重要意义,这将有效降低道路交通事故率,从而促进道路安全。考虑到时间和金钱的问题,在所有发生道路交通事故的地方改善道路安全是不现实的。因此,识别事故易发地点的过程,即所谓的黑点,是分析道路事故原因并减少事故发生的一种经济有效的方法。识别黑点是减少事故的有效策略。在道路网黑点识别过程中可能使用的核心方法是分类、分组和事故预测方法。然而,在实践中,很容易忽视某些因素,这些因素在很大程度上有助于将路网上的一个点定义为黑色。因此,为降低安全风险需要开展的项目,建议不应以上述方法为基础。近年来被广泛应用于道路交通事故预测领域的机器学习算法弥补了这些弱点。它们可以有效地对数据集进行分类,并在因素和事件的严重程度之间建立联系。机器学习算法包括分类、回归、聚类和降维。在这项工作中,对2014年至2018年在希腊北部国家和省级网络上发生的道路交通事故进行了一项研究,目的是确定黑点。这项研究为公众提供了访问希腊北部道路网络黑点数据库的途径。同时,通过逻辑回归和机器学习算法的应用,在比较了确定模型质量的具体措施后,为识别整个路网中的问题点创建了一个参考点,并选择了一个黑点确定模型。
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引用次数: 0
Integer Programming Approach to Graph Colouring Problem and Its Implementation in GAMS 图着色问题的整数规划方法及其在GAMS中的实现
Q3 Mathematics Pub Date : 2023-05-26 DOI: 10.37394/23202.2023.22.53
M. Seda
The graph colouring problem is one of the most studied combinatorial optimisation problems, one with many applications, e.g., in timetabling, resource assignment, team-building problems, network analysis, and cartography. Because of its NP-hardness, the question arises of its solvability for larger instances. Instead of the traditional approaches based on the use of approximate or stochastic heuristic methods, we focus here on the direct use of an integer programming model in the GAMS environment. This environment makes it possible to solve instances much larger than in the past. Neither does it require complex parameter settings or statistical evaluation of the results as in the case of stochastic heuristics because the computational core of software tools, nested in GAMS, is deterministic in nature.
图形着色问题是研究最多的组合优化问题之一,有许多应用,例如,时间表,资源分配,团队建设问题,网络分析和制图。由于它的np -硬度,出现了它对更大实例的可解性的问题。与使用近似或随机启发式方法的传统方法不同,我们在这里着重于在GAMS环境中直接使用整数规划模型。这种环境使得解决比过去大得多的实例成为可能。它也不像随机启发式那样需要复杂的参数设置或结果的统计评估,因为嵌套在GAMS中的软件工具的计算核心本质上是确定性的。
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引用次数: 1
Decoding Behavioural Norms in School Mobility: A Structural Equation Modelling Analysis 解码学校流动中的行为规范:结构方程模型分析
Q3 Mathematics Pub Date : 2023-05-26 DOI: 10.37394/23202.2023.22.52
K. Kotoula, G. Botzoris
Travel demand modelling for school travel, remains a subject of limited research. The exploitation of factors influencing parents in school mode choice and the understanding of the significance parents attribute to these factors is important, contributing to transport planning and leading to a strategic direction with an ultimate scope to improve the school transportation system and promote the use of alternative transport modes for upgrading the living environment and quality of life in general. The current paper examines the development of a Structural Equation Model (SEM) describing the interrelationships between the factors influencing parents in the decision-making process and the final mode choice. For that, a questionnaire survey is conducted for parents of children aged six to eighteen years old. The collected data are analysed through Exploratory and Confirmatory Factor Analysis. Following, an SEM is developed examining the proposed authors' conceptual model, basic hypotheses of school travel choice, and direct and indirect correlations of factors composing parental behaviour.
学校旅行的旅行需求模型,仍然是一个有限的研究课题。挖掘影响家长选择学校模式的因素以及了解家长赋予这些因素的重要性是很重要的,这有助于交通规划,并导致一个具有最终范围的战略方向,以改善学校交通系统,促进使用替代交通方式,以提高总体生活环境和生活质量。本文研究了结构方程模型(SEM)的发展,该模型描述了在决策过程中影响父母的因素与最终模式选择之间的相互关系。为此,对6至18岁儿童的父母进行了问卷调查。通过探索性因子分析和验证性因子分析对收集到的数据进行分析。接下来,我们开发了一个SEM来检验提出的作者的概念模型、学校旅行选择的基本假设,以及构成父母行为的因素之间的直接和间接关联。
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引用次数: 0
Sustainable Development of the Industrial Region based on Competitive Advantages Related to Unique Resources: Tourism Aspect 基于独特资源竞争优势的产业区可持续发展:旅游视角
Q3 Mathematics Pub Date : 2023-05-22 DOI: 10.37394/23202.2023.22.49
O. Bilovodska, Sofia Komarynets, N. Mykhalchyshyn, I. Kantsir, Olena Trevogo, O. Hoshovska
The academic paper aims to explore the possibility of industrial region development reorienting based on alternative terms using unique resources. The primary purposes of the study are to analyse the availability, status, and level of competition and competitive advantages in the market of unique resources. The main methods applied in the article are analysis and, in particular, SWOT analysis, comparison, and generalisation, which have been used to achieve the aim and primary purposes outlined. The study’s main findings confirm that the industrial region’s essential unique resources could be multifaceted tourist resources, particularly geographical location, favourable climate, historical or other attractiveness, environmental friendliness, safety, and more. Based on the concept of the national diamond of M. Porter, possible unique tourist resources, which are the development factors of the market of tourist services in a typical industrial region, have been identified. Based on the concept of driving forces, favourable factors influencing the development of the region’s market of tourist services in the postwar period, such as shifting consumer preferences, innovation promotion technics, etc., have been established in the study. The results of the study suggest that unique resources belonging to the strengths of the industrial region in combination with other strengths can reinforce regional development opportunities and reduce the weaknesses.
本学术论文旨在探讨利用独特资源,以替代术语为基础的产业区域发展再定位的可能性。本研究的主要目的是分析独特资源在市场上的可得性、地位、竞争水平和竞争优势。文章中应用的主要方法是分析,特别是SWOT分析,比较和概括,这些方法已用于实现概述的目标和主要目的。研究的主要结果证实,工业区的重要独特资源可能是多方面的旅游资源,特别是地理位置、有利的气候、历史或其他吸引力、环境友好性、安全性等。根据波特的国家钻石概念,确定了典型工业区域可能存在的独特旅游资源,这些资源是旅游服务市场的发展因素。基于驱动力的概念,本研究确立了影响战后区域旅游服务市场发展的有利因素,如消费者偏好的转变、创新促进技术等。研究结果表明,属于工业区域优势的独特资源与其他优势相结合,可以增加区域发展机会,减少弱点。
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引用次数: 0
Permanence and Global Attractivity of a Non-autonomous Single Species System with Michaelis-Menten-Type Feedback Control 具有michaelis - menten型反馈控制的非自治单物种系统的持久性和全局吸引性
Q3 Mathematics Pub Date : 2023-05-22 DOI: 10.37394/23202.2023.22.51
Fengde Chen, Y. Chong, Shang-Feng Chen
During the past decade, many scholars have investigated the dynamic behaviors of the ecosystem with Michaelis-Menten-type harvesting; however, most of them assume that the harvesting effort does not change with time. Such an assumption has its drawbacks. Generally speaking, the rate of increase in harvesting effort changes with the density of the species. Inspired by this, we put forth a novel form of single-population feedback control model, in which the feedback control variable is of the Michaelis-Menten-type. Sufficient conditions that ensure the permanence and global attractivity of the system are obtained.
近十年来,许多学者对michaelis - menten型采伐的生态系统动态行为进行了研究,但大多假设采伐力度不随时间变化。这种假设有其缺陷。一般来说,收获努力的增加率随物种密度的变化而变化。受此启发,我们提出了一种新颖的单种群反馈控制模型,其中反馈控制变量为michaelis - menten型。得到了系统持久和全局吸引的充分条件。
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引用次数: 0
期刊
WSEAS Transactions on Systems and Control
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