Mathematics and Computers in Simulation最新文献

英文中文

Stability and bifurcation analysis of a time-order fractional model for water-plants: Implications for vegetation pattern formation 水生植物时序分数模型的稳定性和分岔分析：植被模式形成的影响

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation

Pub Date : 2025-03-17 DOI: 10.1016/j.matcom.2025.03.007

Shanwei Li, Yimamu Maimaiti

The water-plant model is a significant tool for studying vegetation patterns. It helps researchers understand the interactions between water availability and plant growth, which are crucial for analyzing ecological dynamics and predicting changes in vegetation due to environmental factors. However, there has been limited research on the memory effect associated with the water-plant model. This paper investigates a fractional-order water-plant model with cross-diffusion, in which the fractional order signifies the memory effect. First, we examine the conditions for the equilibrium point in a spatially homogeneous model, followed by an analysis of the model’s linear stability and the existence of Hopf bifurcation. Subsequently, we analyze the stability of spatiotemporal models incorporating cross-diffusion, along with the presence of Turing bifurcation, Hopf bifurcation, and Turing–Hopf bifurcation. Finally, we present several numerical simulations to validate the theoretical results. The results indicate that the Hopf bifurcation parameters increase with the fractional order

τ

, leading to a larger parameter space for Hopf instability. As the fractional order

τ

increases, it results in a smaller parameter space for Turing instability and a reduced parameter space for stability. This indicates that an increase in the fractional order

τ

accelerates the transition of vegetation patterns, thereby affecting the stability of the system.

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引用次数: 0

Dynamical analysis and optimal control strategy of seasonal brucellosis

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

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

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.

{"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

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation

Pub Date : 2025-03-11 DOI: 10.1016/j.matcom.2025.02.029

Chang Yong Han , Song-Hwa Kwon

We introduce a novel subset of spatial Pythagorean-hodograph (PH) quintic curves characterized by a unique extremal configuration in the quaternion space. For each generic set of

C^{1}

Hermite motion data, there exist exactly four interpolants of these extremal PH curves, each of them matching the specified frames by its Euler–Rodrigues frame (ERF). The four extremal interpolants can be distinguished by the signs that are extracted from their generating quaternion polynomials, and are invariant under orthogonal transformations. Remarkably, not only are the extremal interpolants planar when applied to planar motion data, but they also demonstrate superior geometric properties in comparison to other PH quintic motion interpolants, particularly in terms of their bending energy and the angular variation of their ERF.

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 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation

Pub Date : 2025-03-10 DOI: 10.1016/j.matcom.2025.02.023

Qian Yi , An Chen , Hengfei Ding

In this work, we propose a high order compact difference method for fractional convection equations (FCEs), where the Riesz derivative with order

α \in (0, 1)

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

O (τ^{2} + h^{4})

. Finally, some numerical experiments are carried out to verify the theoretical analysis and to simulate the evolving process of anomalous process.

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引用次数: 0

Well-posedness and decay of the energy of the viscoelastic porous elastic system with dual phase-lag model

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation

Pub Date : 2025-03-10 DOI: 10.1016/j.matcom.2025.03.002

Teng Wang, Jun Zhou

This paper investigates the viscoelastic porous elastic system. The dual phase-lag theory is used to model heat transfer. By using the Faedo–Galërkin method, we show the global well-posedness of the system. Moreover, based on integral inequalities and multiplier techniques, we establish the explicit decay of the energy for this system with general assumption on the relaxation function.

引用次数: 0

A spectral method for dispersive solutions of the nonlocal Sine–Gordon equation

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

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

Moved by the need for rigorous and reliable numerical tools for the analysis of peridynamic materials, the authors propose a model able to capture the dispersive features of nonlocal soliton-like solutions obtained by a peridynamic formulation of the Sine–Gordon equation. The analysis of the Cauchy problem associated to the peridynamic Sine–Gordon equation with local Neumann boundary condition is performed in this work through a spectral method on Chebyshev polynomials nodes joined with the Störmer–Verlet scheme for the time evolution. The choice for using the spectral method resides in the resulting reachable numerical accuracy, while, indeed, Chebyshev polynomials allow straightforward implementation of local boundary conditions. Several numerical experiments are proposed for thoroughly describe the ability of such scheme. Specifically, dispersive effects of the specific peridynamic kernel are demonstrated, while the internal energy behavior of the specified peridynamic operator is studied.

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

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

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

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.

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引用次数: 0

Trajectory tracking considering model uncertainty with interconnection and damping assignment passivity-based control for electro-hydraulic servo systems

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

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

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.

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引用次数: 0

Solving the permutation flow shop scheduling problem with sequence-dependent setup time via iterative greedy algorithm and imitation learning

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

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

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.

{"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

Modified maximum likelihood approach in uncertain regression analysis and application to factors analysis of urban air quality

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation

Pub Date : 2025-03-05 DOI: 10.1016/j.matcom.2025.02.025

Yang Liu , Zhongfeng Qin

Uncertain regression analysis is an indispensable field in statistics, and it conducts in-depth research on data sets under uncertain environments based on regression models to predict and explain the relationship between variables. However, when the data set is affected by outliers, the existing research methods will no longer be effective. In order to eliminate the influence of outliers on the accuracy of uncertain regression model fitting and prediction, this paper estimates the unknown parameters and disturbance term in the uncertain regression model based on a modified maximum likelihood idea, and provides a numerical algorithm to solve the specific estimator. Subsequently, two numerical examples are also provided to illustrate the modified maximum likelihood approach proposed in this paper and its effectiveness compared with the existing maximum likelihood method. Finally, this paper applies the proposed approach to the factor analysis of Shenzhen’s air quality, and successfully reveals the key factors affecting Shenzhen’s air quality, which provides a scientific basis for the subsequent management strategy.

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