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Influence of Media Information Sources on Vaccine Uptake: The Full and Inconsistent Mediating Role of Vaccine Hesitancy 媒体信息来源对疫苗摄取的影响:疫苗犹豫的充分和不一致的中介作用
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-23 DOI: 10.3390/computation11100208
Almudena Recio-Román, Manuel Recio-Menéndez, María Victoria Román-González
Vaccine hesitancy is a significant public health concern, with numerous studies demonstrating its negative impact on immunization rates. One factor that can influence vaccine hesitancy is media coverage of vaccination. The media is a significant source of immunization information and can significantly shape people’s attitudes and behaviors toward vaccine uptake. Media influences vaccination positively or negatively. Accurate coverage of the benefits and effectiveness of vaccination can encourage uptake, while coverage of safety concerns or misinformation may increase hesitancy. Our study investigated whether vaccine hesitancy acts as a mediator between information sources and vaccination uptake. We analyzed a cross-sectional online survey by the European Commission of 27,524 citizens from all EU member states between 15 and 29 March 2019. The study used structural equation modeling to conduct a mediation analysis, revealing that the influence of media on vaccine uptake is fully mediated by vaccine hesitancy, except for television, which depicted an inconsistent mediating role. In other words, the effect of different media on vaccine uptake is largely driven by the extent to which individuals are hesitant or resistant to vaccinating. Therefore, media outlets, governments, and public health organizations must work together to promote accurate and reliable information about vaccination and address vaccine hesitancy.
疫苗犹豫是一个重大的公共卫生问题,许多研究表明它对免疫接种率有负面影响。可能影响疫苗犹豫的一个因素是媒体对疫苗接种的报道。媒体是免疫信息的重要来源,可以显著影响人们对疫苗接种的态度和行为。媒体对疫苗接种有积极或消极的影响。准确报道疫苗接种的益处和有效性可以鼓励人们接受,而对安全问题或错误信息的报道可能会增加犹豫。我们的研究调查了疫苗犹豫是否在信息来源和疫苗摄取之间起中介作用。我们分析了欧盟委员会在2019年3月15日至29日期间对来自所有欧盟成员国的27,524名公民进行的横断面在线调查。本研究采用结构方程模型进行中介分析,发现除了电视对疫苗摄取的中介作用不一致外,媒介对疫苗摄取的影响完全由疫苗犹豫介导。换句话说,不同媒介对疫苗摄取的影响在很大程度上取决于个体对疫苗接种的犹豫或抵抗程度。因此,媒体机构、政府和公共卫生组织必须共同努力,促进有关疫苗接种的准确和可靠信息,并解决疫苗犹豫问题。
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引用次数: 0
Stability of Impaired Humoral Immunity HIV-1 Models with Active and Latent Cellular Infections 具有活性和潜伏细胞感染的体液免疫受损HIV-1模型的稳定性
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-18 DOI: 10.3390/computation11100207
Noura H. AlShamrani, Reham H. Halawani, Wafa Shammakh, Ahmed M. Elaiw
This research aims to formulate and analyze two mathematical models describing the within-host dynamics of human immunodeficiency virus type-1 (HIV-1) in case of impaired humoral immunity. These models consist of five compartments, including healthy CD4+ T cells, (HIV-1)-latently infected cells, (HIV-1)-actively infected cells, HIV-1 particles, and B-cells. We make the assumption that healthy cells can become infected when exposed to: (i) HIV-1 particles resulting from viral infection (VI), (ii) (HIV-1)-latently infected cells due to latent cellular infection (CI), and (iii) (HIV-1)-actively infected cells due to active CI. In the second model, we introduce distributed time-delays. For each of these systems, we demonstrate the non-negativity and boundedness of the solutions, calculate the basic reproductive number, identify all possible equilibrium states, and establish the global asymptotic stability of these equilibria. We employ the Lyapunov method in combination with LaSalle’s invariance principle to investigate the global stability of these equilibrium points. Theoretical findings are subsequently validated through numerical simulations. Additionally, we explore the impact of B-cell impairment, time-delays, and CI on HIV-1 dynamics. Our results indicate that weakened immunity significantly contributes to disease progression. Furthermore, the presence of time-delays can markedly decrease the basic reproductive number, thereby suppressing HIV-1 replication. Conversely, the existence of latent CI spread increases the basic reproductive number, intensifying the progression of HIV-1. Consequently, neglecting latent CI spread in the HIV-1 dynamics model can lead to an underestimation of the basic reproductive number, potentially resulting in inaccurate or insufficient drug therapies for eradicating HIV-1 from the body. These findings offer valuable insights that can enhance the understanding of HIV-1 dynamics within a host.
本研究旨在建立和分析体液免疫受损情况下人类免疫缺陷病毒1型(HIV-1)在宿主内动态的两个数学模型。这些模型由五个区室组成,包括健康的CD4+ T细胞、(HIV-1)-潜伏感染细胞、(HIV-1)-活跃感染细胞、HIV-1颗粒和b细胞。我们假设健康细胞在暴露于以下情况时可能被感染:(i)由病毒感染引起的HIV-1颗粒(VI), (ii)由于潜伏细胞感染(CI)而被潜伏感染的HIV-1细胞,以及(iii)由于活跃CI而被活跃感染的HIV-1细胞。在第二个模型中,我们引入了分布式时滞。对于每一个系统,我们证明了解的非负性和有界性,计算了基本再生数,识别了所有可能的平衡状态,并建立了这些平衡的全局渐近稳定性。我们采用Lyapunov方法结合LaSalle不变性原理来研究这些平衡点的全局稳定性。理论结果随后通过数值模拟得到验证。此外,我们探讨了b细胞损伤、时间延迟和CI对HIV-1动力学的影响。我们的研究结果表明,免疫力的减弱显著地促进了疾病的进展。此外,时间延迟的存在可以显著减少基本繁殖数量,从而抑制HIV-1的复制。相反,潜伏CI传播的存在增加了基本繁殖数,加剧了HIV-1的进展。因此,在HIV-1动力学模型中忽略潜伏CI传播可能会导致对基本繁殖数量的低估,从而可能导致不准确或不充分的药物治疗来从体内根除HIV-1。这些发现提供了有价值的见解,可以加强对宿主内HIV-1动态的理解。
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引用次数: 0
Large Independent Sets on Random d-Regular Graphs with Fixed Degree d d阶固定随机正则图上的大独立集
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-17 DOI: 10.3390/computation11100206
Raffaele Marino, Scott Kirkpatrick
The maximum independent set problem is a classic and fundamental combinatorial challenge, where the objective is to find the largest subset of vertices in a graph such that no two vertices are adjacent. In this paper, we introduce a novel linear prioritized local algorithm tailored to address this problem on random d-regular graphs with a small and fixed degree d. Through exhaustive numerical simulations, we empirically investigated the independence ratio, i.e., the ratio between the cardinality of the independent set found and the order of the graph, which was achieved by our algorithm across random d-regular graphs with degree d ranging from 5 to 100. Remarkably, for every d within this range, our results surpassed the existing lower bounds determined by theoretical methods. Consequently, our findings suggest new conjectured lower bounds for the MIS problem on such graph structures. This finding has been obtained using a prioritized local algorithm. This algorithm is termed ‘prioritized’ because it strategically assigns priority in vertex selection, thereby iteratively adding them to the independent set.
最大独立集问题是一个经典和基本的组合挑战,其目标是在图中找到最大的顶点子集,使得没有两个顶点相邻。在本文中,我们引入了一种新的线性优先局部算法,专门针对具有小而固定的d度的随机d正则图来解决这一问题。通过详尽的数值模拟,我们经验地研究了独立比,即所发现的独立集的基数与图的阶数之间的比率,我们的算法在d度范围为5到100的随机d正则图上实现了这一比例。值得注意的是,在这个范围内的每一个d,我们的结果都超过了由理论方法确定的现有下界。因此,我们的发现提出了这种图结构上MIS问题的新推测下界。这一发现是使用优先级局部算法获得的。这种算法被称为“优先”,因为它在顶点选择中策略性地分配优先级,从而迭代地将它们添加到独立的集合中。
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引用次数: 4
Numerical Solution of the Retrospective Inverse Parabolic Problem on Disjoint Intervals 不相交区间上回溯反抛物问题的数值解
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-16 DOI: 10.3390/computation11100204
Miglena N. Koleva, Lubin G. Vulkov
The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time. We consider the inverse retrospective problem for a one-dimensional parabolic equation in two disconnected intervals with weak solutions in weighted Sobolev spaces. The two solutions are connected with nonstandard interface conditions, and thus this problem is solved in the whole spatial region. Such a problem, as with other inverse problems, is ill-posed, and for its numerical solution, specific techniques have to be used. The direct problem is first discretized by a difference scheme which provides a second order of approximation in space. For the resulting ordinary differential equation system, the positive coerciveness is established. Next, we develop an iterative conjugate gradient method to solve the ill-posed systems of the difference equations, which are obtained after weighted time discretization, of the inverse problem. Test examples with noisy input data are discussed.
演化方程的回溯反问题是用给定的最终解对未知的初始数据进行重构。研究了一类具有弱解的一维抛物型方程在加权Sobolev空间中的逆回溯问题。这两种解都与非标准界面条件相联系,从而在整个空间区域内解决了这一问题。这样的问题,和其他逆问题一样,是不适定的,对于它的数值解,必须使用特定的技术。直接问题首先用差分格式离散,差分格式在空间上提供二阶近似。对于所得到的常微分方程组,建立了正矫顽力。其次,我们提出了一种迭代共轭梯度法来求解逆问题的加权时间离散后得到的差分方程的病态系统。讨论了带有噪声输入数据的测试实例。
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引用次数: 0
Time-Dependent Two-Dimensional Model of Overlimiting Mass Transfer in Electromembrane Systems Based on the Nernst–Planck, Displacement Current and Navier–Stokes Equations 基于能思-普朗克、位移电流和Navier-Stokes方程的电膜系统超极限传质随时间的二维模型
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-16 DOI: 10.3390/computation11100205
Aminat Uzdenova
Electromembrane processes underlie the functioning of electrodialysis devices and nano- and microfluidic devices, the scope of which is steadily expanding. One of the main aspects that determine the effectiveness of membrane systems is the choice of the optimal electrical mode. The solution of this problem, along with experimental studies, requires tools for the theoretical analysis of ion-transport processes in various electrical modes. The system of Nernst–Planck–Poisson and Navier–Stokes (NPP–NS) equations is widely used to describe the overlimiting mass transfer associated with the development of electroconvection. This paper proposes a new approach to describe the electrical mode in a membrane system using the displacement current equation. The equation for the displacement current makes it possible to simulate the galvanodynamic mode, in which the electric field is determined by the given current density. On the basis of the system of Nernst–Planck, displacement current and Navier–Stokes (NPD–NS) equations, a model of the electroconvective overlimiting mass transfer in the diffusion layer at the surface of the ion-exchange membrane in the DC current mode was constructed. Mathematical models based on the NPP–NS and NPD–NS equations, formulated to describe the same physical situation of mass transfer in the membrane system, differ in the peculiarities of numerical solution. At overlimiting currents, the required accuracy of the numerical solution is achieved in the approach based on the NPP–NS equations with a smaller time step than the NPD–NS equation approach. The accuracy of calculating the current density at the boundaries parallel to the membrane surface is higher for the model based on the NPD–NS equations compared to the model based on the NPP–NS equations.
电膜工艺是电渗析装置、纳米和微流体装置功能的基础,其范围正在稳步扩大。决定膜系统有效性的主要方面之一是选择最佳的电气模式。这个问题的解决,连同实验研究,需要各种电模式下离子输运过程的理论分析工具。能斯特-普朗克-泊松和纳维-斯托克斯(NPP-NS)方程组被广泛用于描述与电对流发展相关的超极限传质。本文提出了一种用位移电流方程描述膜系统电模式的新方法。位移电流的方程使模拟电流动力学模式成为可能,其中电场由给定的电流密度决定。基于能思-普朗克、位移电流和Navier-Stokes (NPD-NS)方程组,建立了直流电流模式下离子交换膜表面扩散层电对流过限传质模型。基于NPP-NS和NPD-NS方程的数学模型,用于描述膜系统中相同的传质物理情况,但在数值解的特性上有所不同。在过限电流下,基于NPP-NS方程的方法比NPD-NS方程方法的时间步长更小,达到了数值解的精度要求。与基于NPP-NS方程的模型相比,基于NPD-NS方程的模型在平行膜表面边界处的电流密度计算精度更高。
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引用次数: 0
A Versatile Unitary Transformation Framework for an Optimal Bath Construction in Density-Matrix Based Quantum Embedding Approaches 基于密度矩阵的量子嵌入方法中最优浴结构的通用统一变换框架
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-11 DOI: 10.3390/computation11100203
Quentin Marécat, Matthieu Saubanère
The performance of embedding methods is directly tied to the quality of the bath orbital construction. In this paper, we develop a versatile framework, enabling the investigation of the optimal construction of the orbitals of the bath. As of today, in state-of-the-art embedding methods, the orbitals of the bath are constructed by performing a Singular Value Decomposition (SVD) on the impurity-environment part of the one-body reduced density matrix, as originally presented in Density Matrix Embedding Theory. Recently, the equivalence between the SVD protocol and the use of unitary transformation, the so-called Block-Householder transformation, has been established. We present a generalization of the Block-Householder transformation by introducing additional flexible parameters. The additional parameters are optimized such that the bath-orbitals fulfill physically motivated constraints. The efficiency of the approach is discussed and exemplified in the context of the half-filled Hubbard model in one-dimension.
嵌入方法的性能直接关系到轨道结构的质量。在本文中,我们开发了一个通用的框架,使研究的最佳结构的轨道浴。到目前为止,在最先进的嵌入方法中,浴槽的轨道是通过对单体简化密度矩阵的杂质环境部分执行奇异值分解(SVD)来构建的,正如最初在密度矩阵嵌入理论中提出的那样。最近,SVD协议与使用酉变换(即所谓的块户主变换)之间的等价性已经建立起来。通过引入额外的灵活参数,我们提出了块户主变换的泛化。对附加参数进行了优化,使浴轨道满足物理激励约束。以半填充的一维Hubbard模型为例,讨论了该方法的有效性。
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引用次数: 0
Enhancing Network Availability: An Optimization Approach 增强网络可用性:一种优化方法
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-09 DOI: 10.3390/computation11100202
Yaser Al Mtawa
High availability is vital for network operators to ensure reliable services. Network faults can disrupt functionality and require quick recovery. Multipath networking enhances availability through load balancing and optimal link utilization. However, equal-cost multipath (ECMP) routing has limitations in effectively using multipaths, decreasing network availability. This paper proposes a three-phase disjoint-path framework that improves availability by directing traffic flows through separate paths. The framework provides effective load balancing and meets various service requirements. It includes the Optimization phase for identifying optimal multipath solutions, the Path Separation phase for dividing the multipath into working and backup sets, and the Quality Assessment phase for evaluating the robustness of both sets using topological metrics and micro-based characteristics. The simulations demonstrate the proposed framework’s validation and effectiveness in enhancing network availability.
高可用性对于网络运营商确保可靠的服务至关重要。网络故障会破坏功能,需要快速恢复。多路径组网通过负载均衡和优化链路利用率来提高可用性。然而,等价多路径(ECMP)路由在有效使用多路径方面存在局限性,降低了网络可用性。本文提出了一个三相分离路径框架,该框架通过引导流量通过单独的路径来提高可用性。该框架提供有效的负载均衡,满足各种业务需求。它包括用于识别最优多路径解决方案的优化阶段,用于将多路径划分为工作集和备份集的路径分离阶段,以及用于使用拓扑指标和基于微的特征评估两个集的鲁棒性的质量评估阶段。仿真结果验证了该框架在提高网络可用性方面的有效性。
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引用次数: 0
An Improved Approach for Implementing Dynamic Mode Decomposition with Control 一种改进的带控制的动态模态分解方法
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-08 DOI: 10.3390/computation11100201
Gyurhan Nedzhibov
Dynamic Mode Decomposition with Control is a powerful technique for analyzing and modeling complex dynamical systems under the influence of external control inputs. In this paper, we propose a novel approach to implement this technique that offers computational advantages over the existing method. The proposed scheme uses singular value decomposition of a lower order matrix and requires fewer matrix multiplications when determining corresponding approximation matrices. Moreover, the matrix of dynamic modes also has a simpler structure than the corresponding matrix in the standard approach. To demonstrate the efficacy of the proposed implementation, we applied it to a diverse set of numerical examples. The algorithm’s flexibility is demonstrated in tests: accurate modeling of ecological systems like Lotka-Volterra, successful control of chaotic behavior in the Lorenz system and efficient handling of large-scale stable linear systems. This showcased its versatility and efficacy across different dynamical systems.
动态模态分解与控制是一种强大的技术,用于分析和建模受外部控制输入影响的复杂动态系统。在本文中,我们提出了一种新的方法来实现这种技术,它提供了比现有方法更大的计算优势。该方案采用低阶矩阵的奇异值分解,在确定相应的近似矩阵时需要较少的矩阵乘法。此外,动态模态矩阵的结构也比标准方法中的相应矩阵更简单。为了证明所提出的实现的有效性,我们将其应用于一组不同的数值示例。该算法的灵活性在测试中得到了证明:对Lotka-Volterra等生态系统的精确建模,对Lorenz系统中的混沌行为的成功控制,以及对大规模稳定线性系统的有效处理。这显示了它在不同动力系统中的多功能性和有效性。
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引用次数: 0
A Graphical Calibration Method for a Water Quality Model Considering Process Variability Versus Delay Time: Theory and a Case Study 考虑过程变异性与延迟时间的水质模型的图形校准方法:理论与实例研究
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-07 DOI: 10.3390/computation11100200
Eyal Brill, Michael Bendersky
Process Variability (PV) is a significant water quality time-series measurement. It is a critical element in detecting abnormality. Typically, the quality control system should raise an alert if the PV exceeds its normal value after a proper delay time (DT). The literature does not address the relation between the extended process variability and the time delay for a warning. The current paper shows a graphical method for calibrating a Water Quality Model based on these two parameters. The amount of variability is calculated based on the Euclidean distance between records in a dataset. Typically, each multivariable process has some relation between the variability and the time delay. In the case of a short period (a few minutes), the PV may be high. However, as the relevant DT is longer, it is expected to see the PV converge to some steady state. The current paper examines a method for estimating the relationship between the two measurements (PV and DT) as a detection tool for abnormality. Given the user’s classification of the actual event for true and false events, the method shows how to build a graphical map that helps the user select the best thresholds for the model. The last section of the paper offers an implementation of the method using real-world data.
过程变异性(PV)是一个重要的水质时间序列测量指标。它是检测异常的关键因素。通常,如果PV在适当的延迟时间(DT)后超过正常值,质量控制系统应发出警报。文献没有解决扩展过程可变性和预警时间延迟之间的关系。本文给出了一种基于这两个参数的水质模型标定的图解方法。可变性的数量是基于数据集中记录之间的欧几里得距离来计算的。通常,每一个多变量过程的可变性和时滞之间都有一定的关系。在短时间(几分钟)的情况下,PV可能会很高。然而,由于相关DT较长,预计PV会收敛到某个稳态。本文研究了一种估计两种测量(PV和DT)之间关系的方法,作为异常检测工具。给定用户对真实事件的真事件和假事件的分类,该方法展示了如何构建一个图形映射,帮助用户为模型选择最佳阈值。论文的最后一部分提供了使用真实数据的方法的实现。
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引用次数: 0
Spillover Effects of Green Finance on Attaining Sustainable Development: Spatial Durbin Model 绿色金融对实现可持续发展的溢出效应:空间Durbin模型
Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-05 DOI: 10.3390/computation11100199
Aleksy Kwilinski, Oleksii Lyulyov, Tetyana Pimonenko
Attaining sustainable development goals is a complex process that involves a range of economic, social, and environmental factors. It requires investments in infrastructure, technology, and human capital. In this case, green finance is conducive to channel investments toward sustainable projects and initiatives by providing incentives for environmentally friendly practices and technologies and by encouraging companies and investors to adopt sustainable business models. This paper aims to check the spatial spillover effect of green finance on attaining sustainable development for European Union (EU) countries for 2008–2021. The study applies the spatial Durbin model to explore the research hypothesis. The findings confirm that green finance promotes the achievement of sustainable development goals. However, the impact of green finance on attaining sustainable development is heterogeneous depending on the EU region. In this case, the EU should intensify its green finance policy considering the regional features that significantly affect the achievement of sustainable development goals by reducing greenhouse gas emissions, improving energy efficiency, and promoting renewable energy. In addition, it is necessary to develop alternative financial sources involving green bonds that could be used to fund green projects on renewable energy projects, green building construction, etc.
实现可持续发展目标是一个复杂的过程,涉及一系列经济、社会和环境因素。它需要在基础设施、技术和人力资本方面进行投资。在这种情况下,绿色金融通过为环境友好的实践和技术提供激励,鼓励企业和投资者采用可持续的商业模式,有助于将投资引向可持续的项目和倡议。本文旨在检验2008-2021年绿色金融对欧盟国家实现可持续发展的空间溢出效应。本研究运用空间Durbin模型对研究假设进行探讨。研究结果证实,绿色金融促进了可持续发展目标的实现。然而,绿色金融对实现可持续发展的影响在欧盟地区存在差异。在这种情况下,欧盟应考虑到通过减少温室气体排放、提高能源效率和促进可再生能源来显著影响可持续发展目标实现的区域特征,加强其绿色金融政策。此外,有必要发展包括绿色债券在内的替代资金来源,可用于资助可再生能源项目、绿色建筑建设等绿色项目。
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引用次数: 15
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Computation
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