Mathematics and Computers in Simulation最新文献_第4页

Hopf bifurcation in a generalized Goodwin model with delay 一类时滞广义Goodwin模型的Hopf分岔

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-28 DOI: 10.1016/j.matcom.2025.04.012

Eysan Sans , Melisa Akdemir , Ayse Tiryakioglu , Ayse Peker-Dobie , Cihangir Ozemir

{"title":"Hopf bifurcation in a generalized Goodwin model with delay","authors":"Eysan Sans , Melisa Akdemir , Ayse Tiryakioglu , Ayse Peker-Dobie , Cihangir Ozemir","doi":"10.1016/j.matcom.2025.04.012","DOIUrl":"10.1016/j.matcom.2025.04.012","url":null,"abstract":"<div><div>Goodwin’s model is a cornerstone in the study of dynamical systems within macroeconomics, explaining the interaction between employment ratio and wage share in a closed economy. Analogous to predator–prey dynamics in mathematical economics, the Goodwin model, despite its simplicity, effectively captures the periodic behavior of state variables over specific time intervals. By relaxing the initial assumptions, the model can be adapted to account for more complex economic scenarios. In this article, we study a higher-dimensional extension of the Goodwin model that incorporates variable capacity utilization and capital coefficient alongside employment ratio and wage share. In particular instances, the wage share and employment rate equations decouple from the overall system. For these cases, by incorporating a delay effect in the Phillips curve, we demonstrate that while the equilibrium of the generalized system remains stable within certain parameter domains in the absence of delay, the introduction of delay can induce a Hopf bifurcation, leading to periodic oscillations. We analytically derive the critical delay parameter value that destabilizes the equilibrium point via a Hopf bifurcation.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"237 ","pages":"Pages 86-106"},"PeriodicalIF":4.4,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906032","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}

引用次数: 0

N-policy for redundant machining system with double retrial orbits using soft computing techniques 基于软计算技术的双重审轨道冗余加工系统n策略

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-27 DOI: 10.1016/j.matcom.2025.04.025

Vijay Pratap Singh , Madhu Jain , Richa Sharma

{"title":"N-policy for redundant machining system with double retrial orbits using soft computing techniques","authors":"Vijay Pratap Singh , Madhu Jain , Richa Sharma","doi":"10.1016/j.matcom.2025.04.025","DOIUrl":"10.1016/j.matcom.2025.04.025","url":null,"abstract":"<div><div>The present study is concerned with the performance prediction of a double retrial orbit redundant repairable machining system. Both primary and secondary orbits are available as waiting/buffer space for the failed units. In these orbits, the failed units can reside and make re-attempts for the repair. As per N-policy, if there are no units in the orbits for the repairing job, the repairman goes on vacation and further starts the repair job when N-failed units are accumulated. The objective of this investigation is to evaluate the transient and steady-state distributions of the queue length of failed units under N-policy. The matrix analytic and matrix recursive methods are utilized for solution purpose while an adaptive neuro-fuzzy inference system (ANFIS) is employed for validating the feasibility of designing the AI-based controller. The harmonic search (HS) and particle swarm optimization (PSO) methods have been implemented for the cost optimization purpose so as to evaluate the optimal design parameters. The outputs of study provides critical insights into optimal system performance and improving the repair policy. Furthermore, a practical application of this investigation is demonstrated in a telecommunications network traffic system, where the proposed methods can be utilized to manage the maintenance issues of routers in the network traffic.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"237 ","pages":"Pages 42-69"},"PeriodicalIF":4.4,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906036","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}

引用次数: 0

Composite likelihood expectation–maximization algorithm for the first-order multivariate integer-valued autoregressive model with multivariate mixture distributions 多元混合分布一阶多元整值自回归模型的复合似然期望最大化算法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-26 DOI: 10.1016/j.matcom.2025.04.017

Weiyang Yu, Haitao Zheng

引用次数: 0

Local convergence analysis of L1/finite element scheme for a constant delay reaction-subdiffusion equation with uniform time mesh 等时间网格常延迟反应-次扩散方程L1/有限元格式的局部收敛性分析

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-26 DOI: 10.1016/j.matcom.2025.04.014

Weiping Bu, Xin Zheng

{"title":"Local convergence analysis of L1/finite element scheme for a constant delay reaction-subdiffusion equation with uniform time mesh","authors":"Weiping Bu, Xin Zheng","doi":"10.1016/j.matcom.2025.04.014","DOIUrl":"10.1016/j.matcom.2025.04.014","url":null,"abstract":"<div><div>The aim of this paper is to develop a refined error estimate of L1/finite element scheme for a reaction-subdiffusion equation with constant delay <span><math><mi>τ</mi></math></span> based on the uniform time mesh. Under the non-uniform multi-singularity assumption of exact solution in time, the local truncation error of L1 scheme is investigated. Then we introduce a fully discrete finite element scheme of the considered problem. In order to investigate the error estimate, a novel discrete fractional Grönwall inequality with delay term is proposed, which does not include the increasing Mittag-Leffler function. By applying this Grönwall inequality, we obtain a local error estimate of the above fully discrete scheme without including the Mittag-Leffler function. In particular, the convergence result implies that, for the considered time interval <span><math><mrow><mo>(</mo><mrow><mo>(</mo><mi>i</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow><mi>τ</mi><mo>,</mo><mi>i</mi><mi>τ</mi><mo>]</mo></mrow></math></span>, although the convergence rate in the sense of maximum time error is low for the first interval, i.e. <span><math><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow></math></span>, it will be improved as the increasing <span><math><mi>i</mi></math></span>, which is consistent with the factual assumption that the smoothness of the solution will be improved as the increasing <span><math><mi>i</mi></math></span>. Finally, we present some numerical tests to verify the developed theory.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"237 ","pages":"Pages 70-85"},"PeriodicalIF":4.4,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143906037","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}

引用次数: 0

Dynamical system modelling for picture fuzzy multi-criteria public opinion on transportation infrastructure 交通基础设施舆情的图象模糊多准则动态系统建模

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-26 DOI: 10.1016/j.matcom.2025.04.024

Lanndon Ocampo , Dharyll Prince Abellana , Julius Selle , Rhoda Namoco , Fatima Maturan , John Kevin Padro , Samantha Shane Evangelista

{"title":"Dynamical system modelling for picture fuzzy multi-criteria public opinion on transportation infrastructure","authors":"Lanndon Ocampo , Dharyll Prince Abellana , Julius Selle , Rhoda Namoco , Fatima Maturan , John Kevin Padro , Samantha Shane Evangelista","doi":"10.1016/j.matcom.2025.04.024","DOIUrl":"10.1016/j.matcom.2025.04.024","url":null,"abstract":"<div><div>This work presents a novel approach for modelling dynamic fuzzy multi-criteria decision-making problems. We consider a problem where members of a population evaluate alternatives under a given criterion by taking either of three options: agree, neutral, or disagree. The physical partitioning of the population gives rise to the notion of describing the performance of alternatives under multiple criteria as Picture fuzzy sets, with operations that can aggregate multi-criteria performance into real numbers. Then, the dynamic performance of the alternatives is described by considering the interactions of the partitions of the populations, modelled as a system of differential equations constructed for each criterion. We provided proof of the basic properties of each system, including nonnegativity and boundedness of solutions, and presented the points of convergence. Parameter values were estimated by performing time-series clustering. The proposed approach was applied numerically in modelling multi-criteria public opinion of a bus rapid transit project—a single alternative, where nine criteria were evaluated. Initial performance values under multiple criteria were obtained using a survey, and four scenarios representing possible government interventions were evaluated. The time-dependent performance profiles of the public about the project were obtained, with insights indicating the efficacy of the proposed model.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 455-474"},"PeriodicalIF":4.4,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143899208","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}

引用次数: 0

Hierarchical Newton iterative identification methods for a class of input multi-piecewise Hammerstein models with autoregressive noise 一类具有自回归噪声的输入多分段Hammerstein模型的层次牛顿迭代辨识方法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-25 DOI: 10.1016/j.matcom.2025.04.019

Yamin Fan , Ximei Liu , Meihang Li

{"title":"Hierarchical Newton iterative identification methods for a class of input multi-piecewise Hammerstein models with autoregressive noise","authors":"Yamin Fan , Ximei Liu , Meihang Li","doi":"10.1016/j.matcom.2025.04.019","DOIUrl":"10.1016/j.matcom.2025.04.019","url":null,"abstract":"<div><div>Advancements in mathematical theories and applied technologies have driven research on modeling and identification of complex nonlinear systems, yet existing models still face challenges in terms of model structures, accuracy of parameter estimation, and efficiency. In this study, we present a class of input multi-piecewise Hammerstein models that utilize piecewise-linear function to capture arbitrary nonlinear characteristics. By employing the key term separation technique and the Newton iterative algorithm for parameter estimation, a generalized Newton iterative algorithm is proposed, which overcomes the limitations of conventional identification methods in handling complex nonlinearities. Additionally, considering the computational load caused by the numerous parameters in multi-piecewise linear function and the inversion of the Hessian matrix in the Newton iterative algorithm, the hierarchical identification principle is introduced and a three-stage generalized Newton iterative algorithm is derived for enhancing the computational efficiency. The feasibility of the presented methods are demonstrated through a simulation example.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"237 ","pages":"Pages 247-262"},"PeriodicalIF":4.4,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918095","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}

引用次数: 0

Nonlocal modeling for gas-fluid seepage coupled with heat transfer in gas hydrate by using peridynamic differential operator 基于周动力微分算子的气-流体渗流耦合换热的非局部模拟

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-25 DOI: 10.1016/j.matcom.2025.04.021

Linfeng Zhang , Guorong Wang , Lin Zhong , Qingping Li , Qiang Fu , Mengdi Wu , Lei Chen

{"title":"Nonlocal modeling for gas-fluid seepage coupled with heat transfer in gas hydrate by using peridynamic differential operator","authors":"Linfeng Zhang , Guorong Wang , Lin Zhong , Qingping Li , Qiang Fu , Mengdi Wu , Lei Chen","doi":"10.1016/j.matcom.2025.04.021","DOIUrl":"10.1016/j.matcom.2025.04.021","url":null,"abstract":"<div><div>A coupled non-local thermal-hydro numerical based on the peridynamic differential operator (PDDO) is presented for simulating gas-fluid flow coupled with heat transfer of natural gas hydrate (NGH). The non-local integral replaces the governing equations for nonlinear seepage motion heat conduction. The nonlocal governing equations are resolved by employing an explicit iterative technique. This method is applied to model heat transfer in saturated NGH porous media with accompanying gas-liquid seepage. The effects of boundary pressure and temperature changes on seepage behavior are also investigated. The efficacy and precision of the established coupled model were validated by comparing the temperature field and pressure field outcomes derived from Lagrange multiplier variation analysis with the finite element findings and analytical solutions documented in previous literature. This paper introduces a different approach to numerically simulate the flow of gas and fluid, while also considering heat transfer issues.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"237 ","pages":"Pages 188-212"},"PeriodicalIF":4.4,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912496","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}

引用次数: 0

Numerical steepest descent method for computing oscillatory-type Bessel integral transforms 计算振荡型贝塞尔积分变换的数值最陡下降法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-24 DOI: 10.1016/j.matcom.2025.04.016

Ruyun Chen, Yu Li, Yongxiong Zhou

引用次数: 0

Numerical algorithms for the reconstruction of space-dependent sources in thermoelasticity 热弹性中空间相关源重建的数值算法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-23 DOI: 10.1016/j.matcom.2025.04.004

Frederick Maes , Karel Van Bockstal

引用次数: 0

Convergence of individual opinions during a bi-virus epidemic and its impact 双病毒流行期间个人意见的趋同及其影响

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-04-22 DOI: 10.1016/j.matcom.2025.04.006

Shidong Zhai , Zhenmei Zhang , Jun Ma

{"title":"Convergence of individual opinions during a bi-virus epidemic and its impact","authors":"Shidong Zhai , Zhenmei Zhang , Jun Ma","doi":"10.1016/j.matcom.2025.04.006","DOIUrl":"10.1016/j.matcom.2025.04.006","url":null,"abstract":"<div><div>This paper investigates the intricate interplay between individual opinions and bi-virus transmission in a city or country. The proposed model considers two competing viruses, where virus transmission is shaped by individuals’ perceptions of the epidemic, which are, in turn, influenced by the transmission dynamics. Building on the concept of an opinion-dependent reproduction number, we conduct a rigorous theoretical analysis of the proposed model, focusing on equilibrium stability and parameter sensitivity. From the analysis of simulated data, we derive the following insights: (1) Negative opinions during an epidemic, such as believing the epidemic is not severe or distrusting public health measures, may result in inaccurate community responses and potentially reignite outbreaks. (2) In the bi-virus-opinion model, while perceived epidemic severity can reduce infection rates, it does not alter the dominance of the prevailing virus under conditions of high epidemic severity. Furthermore, we examine the role of stubborn opinions to reshape public perception, which can facilitate epidemic eradication under mild epidemic conditions. In the case of dual-virus competition, stubborn opinions can alter the final competitive outcomes. Finally, numerical simulations are performed to validate the findings and corroborate them with real-world data from the SARS-CoV-2 pandemic.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 334-353"},"PeriodicalIF":4.4,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874387","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}

引用次数: 0