Applied Mathematics and Computation最新文献

{"title":"A co-evolutionary model of information, behavior, and epidemics in multiplex networks: Incorporating subjective and objective factors","authors":"Yue Yu ,&nbsp;Liang'an Huo","doi":"10.1016/j.amc.2025.129406","DOIUrl":"10.1016/j.amc.2025.129406","url":null,"abstract":"<div><div>The dissemination of information and the adoption of immunization behaviors are vital for preventing infection during epidemics. Positive and negative information have different influences on the decision to accept immunization behaviors, and individuals make decisions about whether to accept immunization based on both subjective cognizance and objective environmental factors. A three-layer propagation model is proposed to explore the co-evolutionary dynamics of competitive information, immunization behavior, and epidemics in multiplex networks. We consider the competitive transmission of positive and negative information under the effect of individual cognitive preference and the effect of the subjective cognizance and objective environmental factors. For the objective environmental factors, the Prospect Theory is introduced to describe the risk-related costs. Furthermore, we investigate the local group immunity phenomenon. Utilizing the MMCA (microscopic Markov chain approach) for theoretical analysis, our findings indicate that the dynamics of epidemic transmission can indeed undergo multi-stage phase transitions when there exists a competing propagation of positive and negative information. Improving individual cognitive preference for positive information is essential for making the right judgments when engaging in the immunization game process and reducing the epidemic transmission scale. In addition, individuals are encouraged to reduce the free-rider strategy and adopt immunization behavior timely during epidemic transmission, as this contributes to overall emergency management.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129406"},"PeriodicalIF":3.5,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Reliability evaluation of conditional recursive networks under h-conditional restriction","authors":"Hong Zhang ,&nbsp;Hong Bian ,&nbsp;Jixiang Meng","doi":"10.1016/j.amc.2025.129399","DOIUrl":"10.1016/j.amc.2025.129399","url":null,"abstract":"<div><div>As the number of links and processors in an interconnection network increases, faulty links and processors are constantly emerging. When a network fails, how to evaluate the state of the network and optimize the reliability of the network itself is the focus of attention in recent years. Therefore, the design of network structure and network reliability evaluation are particularly significant. In recent years, connectivity, especially <em>h</em>-conditional restricted connectivity, has been widely discussed by scholars. In this paper, a family of composite network is constructed on the basis of complete graph <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>l</mi></mrow></msub></math></span> (<span><math><mi>l</mi><mo>≥</mo><mn>3</mn></math></span> is an odd integer), named conditional recursive networks (simply called CRNs). It contains the common network alternating group network (<span><math><mi>A</mi><msub><mrow><mi>N</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span>) and some unknown networks. In order to further reflect the reliability of composite network CRNs, we determine connectivity and <em>h</em>-conditional restricted connectivity for <span><math><mn>0</mn><mo>≤</mo><mi>h</mi><mo>≤</mo><mi>l</mi><mo>−</mo><mn>1</mn></math></span>. As an application, we get the connectivity and <em>h</em>-conditional restricted connectivity of <span><math><mi>A</mi><msub><mrow><mi>N</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span> directly.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129399"},"PeriodicalIF":3.5,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Explicit forms of interpolating cubic splines and data smoothing","authors":"Csaba Török ,&nbsp;Juraj Hudák ,&nbsp;Viktor Pristaš ,&nbsp;Lubomir Antoni","doi":"10.1016/j.amc.2025.129411","DOIUrl":"10.1016/j.amc.2025.129411","url":null,"abstract":"<div><div>We express the interpolating cubic splines of class <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> in their new, explicit forms. We construct the desired forms, the spline's Hermitian and B-spline representations for both equidistant and arbitrary nodes. During this process we demonstrate an innovative way to compute the inverse of a special class of tridiagonal matrices. Afterward, we propose the corresponding interpolating spline based linear regression models with easily interpretable coefficients suitable for smoothing data of complex structures.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129411"},"PeriodicalIF":3.5,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143679781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Anti-windup design for networked time-delay systems subject to saturating actuators under round-robin protocol","authors":"Yonggang Chen ,&nbsp;Yaxue Zhao ,&nbsp;Zhou Gu ,&nbsp;Xinfen Yang","doi":"10.1016/j.amc.2025.129413","DOIUrl":"10.1016/j.amc.2025.129413","url":null,"abstract":"<div><div>This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sector condition, the augmented periodic Lyapunov-Krasovskii functional together with certain inequalities, an anti-windup design criterion is derived based on linear matrix inequalities under which the closed-loop systems have the desirable properties such as boundedness, <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> performance, and asymptotic stability. The corresponding results are also presented for the case of constant delay and the case of no time delay. Moreover, the relevant optimizations in the main results are discussed. In the end, two numerical examples illustrate the availability and advantages of the proposed results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129413"},"PeriodicalIF":3.5,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Spectral properties of flipped Toeplitz matrices and computational applications","authors":"Giovanni Barbarino ,&nbsp;Sven-Erik Ekström ,&nbsp;Carlo Garoni ,&nbsp;David Meadon ,&nbsp;Stefano Serra-Capizzano ,&nbsp;Paris Vassalos","doi":"10.1016/j.amc.2025.129408","DOIUrl":"10.1016/j.amc.2025.129408","url":null,"abstract":"<div><div>We study the spectral properties of flipped Toeplitz matrices of the form <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo><mo>=</mo><msub><mrow><mi>Y</mi></mrow><mrow><mi>n</mi></mrow></msub><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>, where <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span> is the <span><math><mi>n</mi><mo>×</mo><mi>n</mi></math></span> Toeplitz matrix generated by the function <em>f</em> and <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span> is the <span><math><mi>n</mi><mo>×</mo><mi>n</mi></math></span> exchange (or flip) matrix having 1 on the main anti-diagonal and 0 elsewhere. In particular, under suitable assumptions on <em>f</em>, we establish an alternating sign relationship between the eigenvalues of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>, the eigenvalues of <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>, and the quasi-uniform samples of <em>f</em>. Moreover, after fine-tuning a few known theorems on Toeplitz matrices, we use them to provide localization results for the eigenvalues of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>. Our study is motivated by the convergence analysis of the minimal residual (MINRES) method for the solution of real non-symmetric Toeplitz linear systems of the form <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo><mi>x</mi><mo>=</mo><mi>b</mi></math></span> after pre-multiplication of both sides by <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span>, as suggested by Pestana and Wathen <span><span>[26]</span></span>. A selection of numerical experiments is provided to illustrate the theoretical results and to show how to use the spectral localizations for predicting the MINRES performance on linear systems with coefficient matrix <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129408"},"PeriodicalIF":3.5,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Game strategy analysis on E-commerce platform supply chain with shared logistics service: A chaos perspective","authors":"Yuanyuan Zhang,&nbsp;Shaochuan Fu,&nbsp;Shucheng Fan,&nbsp;Fangfang Ma","doi":"10.1016/j.amc.2025.129414","DOIUrl":"10.1016/j.amc.2025.129414","url":null,"abstract":"<div><div>This study explores a distinctive scenario within the e-commerce platform supply chain. To assess the performance of these entities, we develop models for both centralized and decentralized decision-making frameworks. Furthermore, we investigate the stability and dynamic behavior of the system during prolonged decentralized model interactions. We found that centralized decision-making has a significant advantage in terms of retail prices and profits within this supply chain. Additionally, the dynamic complexity analysis underscores the challenges of managing an e-commerce supply chain under the decentralized model framework, where finding equilibrium points for decision variables proves complex and the stable ranges for these parameters are notably limited. Higher commission rates incentivize entities to adopt more aggressive strategies, with the most pronounced impact on logistics services and wholesale prices. This adjustment can lead to a substantial decrease in platform profit when the commission rate is raised.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129414"},"PeriodicalIF":3.5,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Exponential stabilization for spatial multiple-fractional advection-diffusion-reaction system","authors":"Xing-Yu Li ,&nbsp;Kai-Ning Wu ,&nbsp;Zhan-Wen Yang","doi":"10.1016/j.amc.2025.129409","DOIUrl":"10.1016/j.amc.2025.129409","url":null,"abstract":"<div><div>The exponential stabilization for spatial multiple-fractional advection-diffusion-reaction system (SMFADRS) is considered, and for the disturbed SMFADRS, the finite-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> stabilization is investigated. To ensure the considered system to achieve the desired performance, a distributed controller is designed to be located in the sub-intervals of the whole spatial domain. Then, by deriving an improved fractional Poincare's inequality and resorting to the Lyapunov functional method, the sufficient criteria of exponential stability and finite-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> performance are obtained. Besides, we also explore the effect of the space domain and its division, the control gain, the distribution of controller and the fractional order on the stability. Moreover, we apply the obtained theoretical results to address the control problem of the groundwater pollution, and the corresponding numerical simulations are performed to show the effectiveness of our results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129409"},"PeriodicalIF":3.5,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Regularized directional do-nothing boundary conditions for the Navier-Stokes equations: Analytical and numerical study","authors":"Pedro Nogueira,&nbsp;Ana L. Silvestre","doi":"10.1016/j.amc.2025.129398","DOIUrl":"10.1016/j.amc.2025.129398","url":null,"abstract":"<div><div>We consider the steady 2D and 3D Navier-Stokes equations with homogeneous mixed boundary conditions and the action of an external force. The classical do-nothing (CDN) boundary condition is replaced by a regularized directional do-nothing (RDDN) condition which depends on a parameter <span><math><mn>0</mn><mo>&lt;</mo><mi>δ</mi><mo>≪</mo><mn>1</mn></math></span>. After establishing the well-posedness of the Navier-Stokes equations with RDDN condition, we prove the convergence, as <span><math><mi>δ</mi><mo>→</mo><mn>0</mn></math></span>, to the solution of the Navier-Stokes equations with directional do-nothing (DDN) condition. The use of the RDDN condition in comparison with the CDN and DDN conditions is illustrated with 2D numerical simulations. The theoretical convergence result as <span><math><mi>δ</mi><mo>→</mo><mn>0</mn></math></span> is also confirmed by our numerical results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129398"},"PeriodicalIF":3.5,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Observer-based finite-time H∞ fault-tolerant control for uncertain Markov jump systems against generally bounded transition probabilities via two-step dynamic event-triggered approach","authors":"Guochen Pang ,&nbsp;Xiang Pan ,&nbsp;Xiangyong Chen ,&nbsp;Jinde Cao ,&nbsp;Yang Liu ,&nbsp;Jianlong Qiu","doi":"10.1016/j.amc.2025.129407","DOIUrl":"10.1016/j.amc.2025.129407","url":null,"abstract":"<div><div>This paper investigates the problem of finite-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> fault-tolerant control for uncertain Markov jump systems with generally bounded transition probabilities using a two-step dynamic event-triggered approach. A novel framework is proposed to optimize data transmission and improve fault tolerance via this approach. First, a dynamic event-triggered mechanism and an observer are introduced where a virtual observer is designed to enhance accuracy and mitigate fault impact. The actual <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> observer is then constructed by processing unmeasurable information. Second, based on the obtained estimates, a co-design method for the dynamic event-triggered mechanism and the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> fault-tolerant controller is developed. Finally, comparative experiments and two simulation examples validate the effectiveness and superiority of the proposed method.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129407"},"PeriodicalIF":3.5,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A nonlinear immersed boundary method for weighted compact nonlinear schemes","authors":"Tianchu Hao ,&nbsp;Yaming Chen ,&nbsp;Lingyan Tang ,&nbsp;Songhe Song","doi":"10.1016/j.amc.2025.129410","DOIUrl":"10.1016/j.amc.2025.129410","url":null,"abstract":"<div><div>Weighted compact nonlinear schemes are a class of high-order finite difference schemes that are widely used in applications. The schemes are flexible in the choice of numerical fluxes. When applied to complex configurations, curvilinear grids are often applied, where the symmetric conservative metric method can be used to ensure geometric conservation laws. However, for complex configurations it may be difficult to generate high quality curvilinear grids. Thus, we confine the study in this paper to Cartesian grids and develop a nonlinear immersed boundary method to deal with the boundary. The developed method is applicable to different kinds of boundary conditions. In addition, compared with the traditional immersed boundary method, this new method can handle problems with shocks near boundary. Both one- and two-dimensional cases are studied into details, with corresponding numerical results showing the validity of the proposed method.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129410"},"PeriodicalIF":3.5,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}