Applied Mathematical Modelling最新文献

Epidemic dynamics driven by spatio-temporal heterogeneity of individual decision-making behaviour 个体决策行为时空异质性驱动的流行病动态

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-10-09 DOI: 10.1016/j.apm.2025.116482

Hanqi Zhang , Zhongkui Sun , Nannan Zhao , Yuanyuan Liu , Shutong Liu

{"title":"Epidemic dynamics driven by spatio-temporal heterogeneity of individual decision-making behaviour","authors":"Hanqi Zhang , Zhongkui Sun , Nannan Zhao , Yuanyuan Liu , Shutong Liu","doi":"10.1016/j.apm.2025.116482","DOIUrl":"10.1016/j.apm.2025.116482","url":null,"abstract":"<div><div>Heterogeneity is widespread in the evolution of individual behaviour and would thereby significantly influence the course of disease transmission. To further understand coupled behaviour-disease dynamics, we adopt the Microscopic Markov chain approach to establish an epidemic model on multiplex networks containing behaviour and contact layers. The behaviour layer employs a time-varying topology constructed from activity-driven methods and a diffusion mechanism under the evolutionary game framework, aiming to characterise the heterogeneous nature of individuals’ decision-making behaviours at both the temporal and spatial levels in the face of government responses during an epidemic. By comparing the two models in the evolutionary game and homogeneous diffusion scenarios, the results show that the higher the government response strength, the superiority of the evolutionary game mechanism in controlling outbreaks becomes more obvious. Moreover, we discover that there is a mutual reinforcement between different epidemic prevention initiatives, which will open up new possibilities for achieving outbreak containment with less effort. The accuracy and practicality of the proposed model are validated by real-world network data. Our results have made new progress in clarifying the interaction between behavioural heterogeneity and disease prevalence, which is an important theoretical guide for the formulation of epidemic control policies.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116482"},"PeriodicalIF":4.4,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145265846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Adaptive adjustment of (p,q)-analogues of Lupaş operators coefficients to cope with uncertainty in cable-driven parallel robots （p,q）-鲁帕鲁算子系数的自适应调整以应对索驱动并联机器人的不确定性

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-10-05 DOI: 10.1016/j.apm.2025.116492

Saleh Mobayen , Alireza Izadbakhsh

{"title":"Adaptive adjustment of (p,q)-analogues of Lupaş operators coefficients to cope with uncertainty in cable-driven parallel robots","authors":"Saleh Mobayen , Alireza Izadbakhsh","doi":"10.1016/j.apm.2025.116492","DOIUrl":"10.1016/j.apm.2025.116492","url":null,"abstract":"<div><div>This paper presents an observer-based adaptive control method for Cable-Driven Parallel Robots, employing the (<em>p,q</em>)-analogue of Lupaş operators as a universal approximator. The proposed controller effectively addresses system uncertainties, including unmodeled dynamics and external disturbances, within a robust adaptive framework. Stability-based adaptation laws are formulated to dynamically adjust the polynomial coefficients of the approximator. The control design also incorporates internal force regulation to ensure continuous tension in all cables. A key advantage of the method is its reliance solely on position feedback, thereby enhancing practical applicability and reducing implementation costs by eliminating the need for precise system modeling. System stability is rigorously established through a Lyapunov-based approach, ensuring uniform ultimate boundedness. Simulation results on a planar Cable-Driven Parallel Robot validate the effectiveness of the proposed strategy. Comparative analysis with both robust control and Chebyshev Neural Network approaches demonstrates superior tracking performance, particularly under external disturbances and modeling uncertainties, as confirmed by standard performance indices (ISE, IAE, ITAE).</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116492"},"PeriodicalIF":4.4,"publicationDate":"2025-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Quality factor analysis of cylindrical shell resonators considering surface residual stress and thermoelastic damping 考虑表面残余应力和热弹性阻尼的圆柱壳谐振器质量因子分析

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-10-04 DOI: 10.1016/j.apm.2025.116493

Wei Gao, Shurui Wen, Fengming Li

{"title":"Quality factor analysis of cylindrical shell resonators considering surface residual stress and thermoelastic damping","authors":"Wei Gao, Shurui Wen, Fengming Li","doi":"10.1016/j.apm.2025.116493","DOIUrl":"10.1016/j.apm.2025.116493","url":null,"abstract":"<div><div>An effective method for evaluating the quality factor of cylindrical shells, incorporating the effects of surface residual stress and thermoelastic damping, is developed. The Stoney formula is extended to characterize the surface residual stress of the cylindrical shell, which is determined based on the thickness of the damaged layer. The equations of motion are derived using Hamilton’s principle and simplified via the Donnell–Mushtari–Vlasov (DMV) approximation. The thermoelastic governing equation is solved using the Galerkin method, yielding the natural frequency and thermoelastic quality factor of the shell. Additionally, an analytical model for the surface loss quality factor is established through the energy approach. The validity of the theoretical model is confirmed through comparisons with the existing literature and the finite element method (FEM). The influences of key parameters including damaged layer thickness, structural dimensions, and equilibrium temperature on the quality factors are investigated. It is observed that an increase in the damaged layer thickness significantly reduces the surface loss quality factor. Moreover, the thermoelastic quality factor and surface loss quality factor exhibit opposite trends in response to changes in structural sizes and equilibrium temperature. Therefore, a comprehensive consideration of these factors is essential for the design of high-performance cylindrical shell resonators.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116493"},"PeriodicalIF":4.4,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145265850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling the blockchain-related insurance contracts with moral hazard and adverse selection 基于道德风险和逆向选择的区块链相关保险合同建模

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-10-04 DOI: 10.1016/j.apm.2025.116483

Tingyu Chen , Juan Wang , Song Wang , Chengyi Xia

{"title":"Modeling the blockchain-related insurance contracts with moral hazard and adverse selection","authors":"Tingyu Chen , Juan Wang , Song Wang , Chengyi Xia","doi":"10.1016/j.apm.2025.116483","DOIUrl":"10.1016/j.apm.2025.116483","url":null,"abstract":"<div><div>Information asymmetry has been a challenging topic in the field of game theory, leading to numerous real-world dilemmas. It is common for the principal to simultaneously consider the adverse selection and moral hazard under realistic scenarios in order to manage various agents against the backdrop of principal-agent relationships. Concurrently, advancements in technology, such as artificial intelligence, blockchain and smart contract systems, offer new solutions to these dilemmas. Therefore, this work constructs a comprehensive theoretical framework to solve the bi-directional information asymmetry of moral hazard and adverse selection by use of the basic insurance model, and then analyzes the effect of blockchain technology on the insurance efficiency. Aiming to address those issues induced by information asymmetry, such as low-risk agents bearing additional risk burdens and losses in the market, an improved model is further proposed on the basis of federated blockchain. In the basic model, insurance companies design partial insurance contracts to mitigate the incentives for high-risk agents to disguise their risk levels; however, low-risk agents still face the suboptimal risk exposure. Furthermore, case analyses in multi-agent scenarios demonstrate that the introduction of blockchain, along with the characteristics of smart contracts and distributed ledgers, reduces various costs and alleviates the moral hazard through dynamically adjusted premium incentive mechanisms. Theoretical results indicate that when the adoption rate of blockchain and the cost function meet specific conditions, agents are more inclined to adopt blockchain technology, thereby reducing information rents and optimizing risk distribution. In general, this research provides a potential framework for the application of blockchain technology into the insurance under complex information asymmetry environments.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116483"},"PeriodicalIF":4.4,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145265845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multi-period portfolio tracking strategy based on expert uncertainty modeling and enhanced dung beetle optimization algorithm 基于专家不确定性建模和改进的屎壳郎优化算法的多周期投资组合跟踪策略

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-10-04 DOI: 10.1016/j.apm.2025.116485

Ping Zhan, Bo Li

{"title":"Multi-period portfolio tracking strategy based on expert uncertainty modeling and enhanced dung beetle optimization algorithm","authors":"Ping Zhan, Bo Li","doi":"10.1016/j.apm.2025.116485","DOIUrl":"10.1016/j.apm.2025.116485","url":null,"abstract":"<div><div>In the face of societal uncertainties, such as financial crises and regional conflicts, which significantly impact investors’ incomes, dynamic adjustment of investment portfolios while tracking benchmarks becomes crucial for wealth maximization. This study delves into portfolio selection, aiming to maximize multi-period returns under uncertain conditions with consideration of benchmark errors. Two novel multi-period portfolio models with uncertain parameters are initially constructed based on different tracking strategies. The equivalent formulations of these models are then explored when stock returns follow linear and normal uncertain distributions. Departing from previous studies that relied on expert empirical data for asset return estimations, we introduce a data-driven parameter estimation method to determine asset distribution functions from real market data. To address the models effectively, an enhanced dung beetle optimization algorithm is proposed, integrating chaotic mapping for enhanced global search ability and an improved sine algorithm for efficient position updating. Numerical simulations across various risk levels demonstrate the effectiveness and practicality of the proposed algorithm and models. Research findings indicate investors seeking higher market returns are recommended the uncertain return tracking model; those aiming to control risks within a reliable range should refer to the uncertain risk tracking model.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116485"},"PeriodicalIF":4.4,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145265844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Topology optimization for subsonic compressible flows based on the material field series expansion model 基于材料场级数展开模型的亚声速可压缩流拓扑优化

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-10-03 DOI: 10.1016/j.apm.2025.116486

Siyuan Wan , Huiying Zhang , Mindi Jiang , Shengli Xu , Bo Wang

{"title":"Topology optimization for subsonic compressible flows based on the material field series expansion model","authors":"Siyuan Wan , Huiying Zhang , Mindi Jiang , Shengli Xu , Bo Wang","doi":"10.1016/j.apm.2025.116486","DOIUrl":"10.1016/j.apm.2025.116486","url":null,"abstract":"<div><div>The Material Field Series Expansion (MFSE) method has gained attention in structural topology optimization problems owing to its advantages, including well-defined structure boundaries and dimensionality reduction. In this work, we propose a fluid topology optimization method based on MFSE to address a entropy variation minimization problem governed by the equations of compressible flow. The proposed method defines a bounded material field with spatial correlation to characterize flow channel topology and expands it into a linear combination of eigenvectors and coefficients through a series expansion approach, employing the modal truncation strategy to truncate low-order modes to reduce the dimension of the optimization design space. This method inherently prevents checkerboard patterns and mesh dependency while effectively decoupling design variables from computational grids. The effectiveness of the proposed method is evaluated through several 2D and 3D optimization cases. Numerical experiments demonstrate that MFSE achieves comparable objective function values and topological configurations to conventional density-based methods under identical volume constraints. Concurrently, this approach accomplishes an order of magnitude reduction in design variables, decreasing from O(<span><math><msup><mn>10</mn><mn>4</mn></msup></math></span>) to O(<span><math><msup><mn>10</mn><mn>3</mn></msup></math></span>), which directly improves computational efficiency. Parameter studies on truncation error and correlation length further demonstrate their controllability over both the number of optimization variables and the intricacy of resulting topological features. Crucially, these studies provide practical guidance for balancing optimization computational cost against solution accuracy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116486"},"PeriodicalIF":4.4,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145265848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mixed-frequency fractional derivative grey model for forecasting electricity consumption 电力消费预测的混合频率分数导数灰色模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-10-03 DOI: 10.1016/j.apm.2025.116474

Leping Tu , Yaoguo Dang , Junjie Wang , Shan Huang

{"title":"Mixed-frequency fractional derivative grey model for forecasting electricity consumption","authors":"Leping Tu , Yaoguo Dang , Junjie Wang , Shan Huang","doi":"10.1016/j.apm.2025.116474","DOIUrl":"10.1016/j.apm.2025.116474","url":null,"abstract":"<div><div>Accurate medium-term and long-term electricity demand forecasts are essential for energy management. To this end, this paper proposes a mixed-frequency fractional derivative grey model, and systematically applies the mixed-frequency modeling method to electricity consumption forecasting across 31 regions in China for the first time. The model integrates mixed-frequency sampling mechanisms with fractional grey modeling techniques to uniformly process data features of different temporal frequencies, including monthly, quarterly, and annual indicators, thereby enhancing the ability to capture both long-term memory effects and high-frequency information in time series data. Additionally, a weight function based on the Weibull distribution is designed to improve the flexibility of feature modeling. The arithmetic optimization algorithm is introduced to adaptively optimize model parameters, thereby improving overall model stability and adaptability. Monte Carlo simulations verify the robustness of the proposed model under different frequency combinations, noise levels, and sample sizes. In the empirical forecasting of electricity consumption across 31 regions, the model demonstrates outstanding performance. Ablation experiments also confirm the critical role of the mixed-frequency mechanism in enhancing model performance. According to the forecasting results, by 2030, total electricity consumption in eastern, central, western, and northeastern China is projected to reach approximately 5843, 2170, 3752, and 607 billion kWh, respectively. This study not only fills the application gap of mixed-frequency grey modeling in large-scale regional electricity forecasting but also provides solid data support and methodological innovation for optimizing regional energy allocation.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116474"},"PeriodicalIF":4.4,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145265849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Generalized high-order node-based smoothed polygonal fem on arbitrary polygonal meshes for engineering applications 任意多边形网格上基于高阶节点的广义光滑多边形有限元

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-09-30 DOI: 10.1016/j.apm.2025.116487

Shijie Zhao, Ruiping Niu

{"title":"Generalized high-order node-based smoothed polygonal fem on arbitrary polygonal meshes for engineering applications","authors":"Shijie Zhao, Ruiping Niu","doi":"10.1016/j.apm.2025.116487","DOIUrl":"10.1016/j.apm.2025.116487","url":null,"abstract":"<div><div>In this study, we propose three novel high-order smoothed finite element method models based on a smoothed derivative extraction principle to reconstruct strain fields for the analysis of linear elastic solid mechanics problems. First, we developed an innovative smoothing-domain discretization strategy. This approach enables the universal implementation of node-based smoothing domains on arbitrary polygonal background meshes, including both convex and concave polygons. Then, the radial point interpolation method is applied to derive shape functions for polygonal elements with arbitrary node configurations. Next, gradient smoothing technique is used in the point interpolation model, requiring only the values of the shape functions on the smoothing domain boundaries, rather than their derivatives. By utilizing gradient smoothing techniques, only the values of the shape functions on the smoothing domain boundaries are required, rather than their derivatives, thereby reducing the continuity requirements for the shape functions and avoiding coordinate mapping. Furthermore, based on a smoothed derivative extraction principle and the alpha-smoothed finite element method, three high-order smoothed finite element models are established: one with linear strain, one with second-order strain, and one combining the two. Finally, a series of classical benchmark examples are used to verify the accuracy, convergence, and stability of the proposed models. Additionally, the method is applied to complex and challenging engineering problems, demonstrating its effectiveness adaptability.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116487"},"PeriodicalIF":4.4,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145229517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements 具有任意形状单元的超表面吸收器中倏逝波效应的有效傅立叶声学模拟

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-09-27 DOI: 10.1016/j.apm.2025.116471

M. Červenka

{"title":"Efficient Fourier-acoustic modeling of evanescent wave effects in metasurface absorbers with arbitrarily shaped elements","authors":"M. Červenka","doi":"10.1016/j.apm.2025.116471","DOIUrl":"10.1016/j.apm.2025.116471","url":null,"abstract":"<div><div>This work presents a simple and efficient computational approach for the design and analysis of planar acoustic metasurface absorbers, grounded in the principles of Fourier acoustics. The method accommodates various configurations, including periodically or mirror-symmetrically arranged rectangular super-cells, as well as single cells terminating rigid-walled ducts with rectangular or circular cross-sections. Each metasurface (super-)cell may comprise arbitrarily shaped elements characterized by specified input acoustic impedances. A key feature of the model is its unified formulation across all considered geometries, incorporating one frequency-dependent function, which captures the influence of evanescent mode excitation and associated coupling effects. This function is computed from the spectra of characteristic functions describing the geometry, using the Fast Fourier Transform, Discrete Cosine Transform, or numerical integration depending on the symmetry and (super-)cell shape. The approach is demonstrated on micro-perforated panel absorbers backed by multiple resonant cavities, achieving broadband and uniform sound absorption. The model’s efficiency enables parameter optimization, and its predictions are validated against finite element method simulations. Results highlight the critical importance of accounting for evanescent modes in the design process to avoid performance degradation. The proposed method provides a versatile, accurate, and computationally efficient tool suitable for practical applications in noise control, acoustic device design, and architectural acoustics. Implementation MATLAB code is available on <span><span>https://github.com/MilanCervenka/EvanescentFourier</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116471"},"PeriodicalIF":4.4,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional order fuzzy backstepping adaptive controller for hydraulic suspension 液压悬架分数阶模糊反步自适应控制器

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-09-27 DOI: 10.1016/j.apm.2025.116480

Jianying Li , Xiaoyan Du , Donglai Li , Yue Jin

引用次数: 0