Mathematics and Computers in Simulation最新文献_第6页

An asymptotic approximation of the solution for nearly tridiagonal quasi-Toeplitz linear systems 近三对角拟toeplitz线性系统解的渐近逼近

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-13 DOI: 10.1016/j.matcom.2025.02.024

Philsu Kim , Sangbeom Park , Seonghak Kim, Soyoon Bak

引用次数: 0

Estimating the region of attraction on fractional-order complex networks with time-varying delay 时变时滞分数阶复杂网络的吸引域估计

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-12 DOI: 10.1016/j.matcom.2025.02.030

Feifei Du , Jun-Guo Lu , Qing-Hao Zhang

引用次数: 0

Dynamical analysis and optimal control strategy of seasonal brucellosis 季节性布鲁氏菌病的动态分析及最优控制策略

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-12 DOI: 10.1016/j.matcom.2025.03.003

Huidi Chu , Xinmiao Rong , Liu Yang , Meng Fan

{"title":"Dynamical analysis and optimal control strategy of seasonal brucellosis","authors":"Huidi Chu , Xinmiao Rong , Liu Yang , Meng Fan","doi":"10.1016/j.matcom.2025.03.003","DOIUrl":"10.1016/j.matcom.2025.03.003","url":null,"abstract":"<div><div>Brucellosis exhibits typical seasonal patterns and shows a notable rising trend in recent years, posing a serious threat to public health and economic development. Experimental research indicates that increased tick activity may elevate brucellosis transmission risk although the quantitative impact of ticks remains insufficiently explored. To investigate the seasonal transmission mechanisms of Brucella, identify the key factors, and assess ticks’ potential role, a multi-population non-autonomous periodic dynamical model is developed. The global dynamics of the model such as extinction, uniform persistence, disease-free periodic solution, and endemic periodic solution are well explored in terms of the basic reproduction number. Theoretical and numerical analyses demonstrate that, while tick control helps mitigate transmission risks, it is insufficient to eliminate periodic transmission. Effective control of brucellosis requires a comprehensive approach, especially culling infected sheep and improving vaccination coverage to curb the overall rising trend. Additionally, adjusting sheep reproductive schedules within the sheep’s life cycle, such as delaying the peak time of birth and advancing the peak time of abortion, is crucial for managing seasonal transmission. Numerical simulations of the optimal control strategies reveal that adjusting interventions based on seasonal fluctuations in infections balances the cost and effectiveness while highlighting the importance of effective tick control.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 299-324"},"PeriodicalIF":4.4,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143628609","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

Motion interpolation with Euler–Rodrigues frames on extremal Pythagorean-hodograph curves 极值毕达哥拉斯曲线上欧拉-罗德里格斯帧的运动插值

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-11 DOI: 10.1016/j.matcom.2025.02.029

Chang Yong Han , Song-Hwa Kwon

引用次数: 0

High order difference method for fractional convection equation 分数对流方程的高阶差分法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-10 DOI: 10.1016/j.matcom.2025.02.023

Qian Yi , An Chen , Hengfei Ding

{"title":"High order difference method for fractional convection equation","authors":"Qian Yi , An Chen , Hengfei Ding","doi":"10.1016/j.matcom.2025.02.023","DOIUrl":"10.1016/j.matcom.2025.02.023","url":null,"abstract":"<div><div>In this work, we propose a high order compact difference method for fractional convection equations (FCEs), where the Riesz derivative with order <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span> is introduced in the spatial derivative. First, we prove that left and right Riemann–Liouville fractional operators are positive. Based on this, we provide an a priori estimate for the solution to FCEs, which implies the existence and uniqueness of the solution to FCEs. Then, we construct a 4th-order differential formula to approximate the Riesz derivative through a new generating function. Combining the formula with the Crank–Nicolson technique in time, we establish a high order compact difference scheme for the considered equation. A thorough analysis about the stability and convergence is conducted which shows that the proposed scheme is unconditionally stable and convergent with order <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><mi>h</mi></mrow><mrow><mn>4</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span>. Finally, some numerical experiments are carried out to verify the theoretical analysis and to simulate the evolving process of anomalous process.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 286-298"},"PeriodicalIF":4.4,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620274","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

Well-posedness and decay of the energy of the viscoelastic porous elastic system with dual phase-lag model 双相位滞后模型粘弹性多孔弹性体系的适定性和能量衰减

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-10 DOI: 10.1016/j.matcom.2025.03.002

Teng Wang, Jun Zhou

引用次数: 0

A spectral method for dispersive solutions of the nonlocal Sine–Gordon equation 非局部正弦-戈登方程色散解的谱法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-08 DOI: 10.1016/j.matcom.2025.02.028

A. Coclite , L. Lopez , S.F. Pellegrino

引用次数: 0

Stability analysis and optimal control of SEAIQR infectious disease model with nonlinear treatment term based on BA scale-free network 基于BA无标度网络的非线性治疗项SEAIQR传染病模型稳定性分析及最优控制

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-08 DOI: 10.1016/j.matcom.2025.03.001

Leimin Wang , Jian Shen , Xiaofang Hu , Guodong Zhang , Genping Wu

{"title":"Stability analysis and optimal control of SEAIQR infectious disease model with nonlinear treatment term based on BA scale-free network","authors":"Leimin Wang , Jian Shen , Xiaofang Hu , Guodong Zhang , Genping Wu","doi":"10.1016/j.matcom.2025.03.001","DOIUrl":"10.1016/j.matcom.2025.03.001","url":null,"abstract":"<div><div>The primary approaches to curbing the dissemination of epidemics include vaccination of susceptible individuals, quarantine and complementary cure of infected individuals. To better understand the impact of the above control measures on epidemics and develop optimal control strategies to save medical resources, this paper develops a susceptible-exposed-asymptomatic infected-symptomatic infected-quarantined-recovered (SEAIQR) model with nonlinear treatment term on a BA scale-free network. The process of solving basic reproduction number of SEAIQR model is simplified through the theory of complex networks. It is proven that the global stability of the two equilibrium points is obtained by the construction of Lyapunov functions. Furthermore, we regard the three measures of vaccination for susceptible populations, quarantine for asymptomatic populations and symptomatic populations as control of bounded time-varying inputs. The Pontryagin’s Minimum Principle allows to obtain solutions of optimal control. Finally, the simulations demonstrate that the seven control strategies are superior under the developed SEAIQR model. Our proposal achieves a balance between the cost of controlling infectious diseases and the scale of infection, which will be of immense benefit in the development of control strategies for infectious diseases.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 248-261"},"PeriodicalIF":4.4,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143600588","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

Trajectory tracking considering model uncertainty with interconnection and damping assignment passivity-based control for electro-hydraulic servo systems 考虑模型不确定性互连和阻尼分配的电液伺服系统无源控制

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-06 DOI: 10.1016/j.matcom.2025.02.027

Junjie Gong , Jian Chen , Dengsheng Cai , Haibo Xie , Wei Wei , Yu Long

{"title":"Trajectory tracking considering model uncertainty with interconnection and damping assignment passivity-based control for electro-hydraulic servo systems","authors":"Junjie Gong , Jian Chen , Dengsheng Cai , Haibo Xie , Wei Wei , Yu Long","doi":"10.1016/j.matcom.2025.02.027","DOIUrl":"10.1016/j.matcom.2025.02.027","url":null,"abstract":"<div><div>In this paper, a novel dual closed-loop control framework is proposed for trajectory tracking of electro-hydraulic servo systems, utilizing interconnection and damping assignment passivity-based control alongside a finite-time extended state observer. First, a finite-time approach, coupled with an extended state observer, is employed to estimate system model uncertainties and stochastic disturbances, achieving fast finite-time uniformly ultimately bounded stability of observation errors. Second, the nonlinear state–space model is converted into a port-controlled Hamiltonian system with disturbances. Energy shaping and damping injection methods are then applied to transform the port-controlled Hamiltonian model into the desired closed-loop system. Subsequently, the cascade characteristics of the electro-hydraulic servo system are leveraged to establish virtual inputs, facilitating the development of a dual closed-loop interconnection and damping assignment passivity-based controller. The inner-loop controller utilizes spool displacement as an input to mitigate the effects of external disturbances and enhance single-loop control performance, thereby increasing robustness against model uncertainties and external disturbances. Finally, numerical simulations validate the effectiveness and performance of the proposed control strategy in the context of trajectory tracking control for the electro-hydraulic servo system. Compared with FLSMC-MPC and Backstepping-MPC, the proposed controller improve the tracking accuracy by 61.6% and 12.4%, and the velocity tracking performance by 75.7% and 34.2%, respectively.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 194-218"},"PeriodicalIF":4.4,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577956","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

Solving the permutation flow shop scheduling problem with sequence-dependent setup time via iterative greedy algorithm and imitation learning 利用迭代贪心算法和模仿学习方法解决了设置时间序列依赖的置换流水车间调度问题

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-05 DOI: 10.1016/j.matcom.2025.02.026

Zhao-sheng Du , Jun-qing Li , Hao-nan Song , Kai-zhou Gao , Ying Xu , Jia-ke Li , Zhi-xin Zheng

{"title":"Solving the permutation flow shop scheduling problem with sequence-dependent setup time via iterative greedy algorithm and imitation learning","authors":"Zhao-sheng Du , Jun-qing Li , Hao-nan Song , Kai-zhou Gao , Ying Xu , Jia-ke Li , Zhi-xin Zheng","doi":"10.1016/j.matcom.2025.02.026","DOIUrl":"10.1016/j.matcom.2025.02.026","url":null,"abstract":"<div><div>In recent years, the application of learning-based methods in flow shop scheduling problem has gained considerable attention. However, there are gaps in the quality of their solution due to the difficulty of fully exploring the huge search space faced by learning-based methods and the difficulty of reward function design. In this paper, a hybrid approach of meta-heuristic algorithm and imitation learning (IL) is proposed to solve the permutation flow shop scheduling problem with sequence-dependent setup times (PFSP-SDST). Firstly, jobs are treated as nodes, and the processing time and setup times of PFSP-SDST are considered as features of the nodes, respectively. Secondly, a graph neural network based on an attention feature fusion (AFF) mechanism is designed as an encoder to embed the feature information of the problem. Finally, an iterative greedy algorithm based on critical path is proposed to provide high-quality expert solutions for the IL algorithm. The running results on randomly generated datasets and benchmark datasets demonstrate the effectiveness of the proposed method.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 169-193"},"PeriodicalIF":4.4,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577955","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