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Global sensitivity analysis of catheter-associated urinary tract infection models using the eFAST method 使用eFAST方法对导尿管相关尿路感染模型进行全局敏感性分析
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-03-04 DOI: 10.1016/j.rico.2026.100682
Innocent P. John , Mussa A. Stephano , Maranya M. Mayengo
Catheter-associated urinary tract infection (CAUTI) is one of the most common healthcare-associated infections, posing a significant challenge in clinical settings. This study develops a mathematical model that incorporates bacterial contamination to investigate the transmission dynamics of CAUTI. We derive the disease-free and endemic equilibria and compute the basic reproduction number, R0, using the next generation matrix method. The model’s well-posedness is examined through the existence and uniqueness of solutions, and the long-term behavior is analyzed to determine the stability of the equilibria. To assess the relative importance of the model parameters, we conduct a global sensitivity analysis using the extended Fourier Amplitude Sensitivity Test (eFAST) method. The results identify the catheterization rate (ω), catheter removal rate (δ), and transmission coefficients (ϕ,β1,β2) as the most influential parameters affecting infection dynamics. These findings highlight key intervention targets for controlling CAUTI. The model also serves as a foundation for future extensions, including the incorporation of asymptomatic carriers and environmental sanitation interventions.
导尿管相关性尿路感染(CAUTI)是最常见的卫生保健相关感染之一,在临床环境中提出了重大挑战。本研究开发了一个包含细菌污染的数学模型来研究CAUTI的传播动力学。我们用下一代矩阵法推导了无病平衡点和地方病平衡点,并计算了基本繁殖数R0。通过解的存在唯一性检验了模型的适定性,并分析了模型的长期行为以确定平衡点的稳定性。为了评估模型参数的相对重要性,我们使用扩展傅立叶振幅灵敏度测试(eFAST)方法进行了全局灵敏度分析。结果表明,置管率(ω)、拔管率(δ)和传输系数(φ,β1,β2)是影响感染动态的最重要参数。这些发现突出了控制CAUTI的关键干预目标。该模型还可作为未来扩展的基础,包括纳入无症状携带者和环境卫生干预措施。
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引用次数: 0
Control, reliability analysis, and intelligent energy management optimization for resilient multi-pump irrigation system powered by DFIG-based wind energy system 基于dfig风能系统的弹性多泵灌溉系统控制、可靠性分析及智能能源管理优化
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-12 DOI: 10.1016/j.rico.2026.100668
Salah Tamalouzt , Karim Fathi Sayeh , Kamel Djermouni , Youcef Belkhier , Abdelkrim Hamasse
The present paper puts forth a state-of-the-art control strategy for a Doubly Fed Induction Generator (DFIG)-based wind energy conversion system that supplies a multi-pump irrigation network. In order to surmount the power quality limitations inherent to conventional Direct Torque Control (DTC), a Fuzzy Logic–based Improved Direct Reactive Power Control (F-IDRPC) approach has been developed. The conventional hysteresis comparators and switching table are substituted by a fuzzy inference system, a modification that results in a substantial reduction of torque, flux, and current ripples, while ensuring the maintenance of near-sinusoidal stator currents. Furthermore, a Reliability-Aware Permutation Strategy (RAPS) is integrated into the Smart Energy Management Approach (SEMA) algorithm. By replacing a single high-power pump with a modular five-pump architecture, the proposed method increases system reliability by 226% (MTBF) and equalizes mechanical wear through cyclic duty cycling. The MATLAB/Simulink simulation. The MATLAB/Simulink simulation results demonstrate a 99.15% reduction in Total Harmonic Distortion (THD), an 48.25% reduction in active power ripples, and a 55.23% reduction in local reactive power compensation ripples, with a 90.04% reduction in frequency ripples compared with conventional control. These findings substantiate the efficacy of the proposed strategy in enhancing power quality, system stability, and irrigation reliability under variable wind conditions.
本文提出了一种基于双馈感应发电机(DFIG)的风能转换系统的最先进的控制策略,该系统提供多泵灌溉网络。为了克服传统直接转矩控制(DTC)固有的电能质量限制,提出了一种基于模糊逻辑的改进型直接无功功率控制(F-IDRPC)方法。传统的迟滞比较器和开关表被模糊推理系统所取代,这种修改导致转矩、磁通和电流波动的大幅减少,同时确保维持近正弦的定子电流。此外,将可靠性感知置换策略(RAPS)集成到智能能源管理方法(SEMA)算法中。通过将单个大功率泵替换为模块化的五泵结构,该方法将系统可靠性提高了226% (MTBF),并通过循环占空循环均衡机械磨损。MATLAB/Simulink仿真。MATLAB/Simulink仿真结果表明,与传统控制相比,总谐波失真(THD)降低99.15%,有功功率纹波降低48.25%,局部无功补偿纹波降低55.23%,频率纹波降低90.04%。这些发现证实了所提出的策略在提高电能质量、系统稳定性和可变风条件下灌溉可靠性方面的有效性。
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引用次数: 0
Analysis and management of climate change incidents spread within the environment under coastal lives: Modeling and chaos control 沿海生物环境中气候变化事件的分析与管理:建模与混沌控制
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-07 DOI: 10.1016/j.rico.2026.100671
Aqeel Ahmad , Muhammad Raza , Hijaz Ahmad , Faheem Khan , Sadia Sattar , Dragan Pamucar , Vladimir Simic
Examining the model of climate change by analyzing how changes in climate-related incidents spread within the environment, particularly in coastal areas, as a result of predictions, is the main goal of this study. Following some measurements of impact rates for various variables, a mathematical model is developed using the hypothesis of a healthy environment to investigate the rates of climate change affecting coastal communities. In addition to studying the model equilibrium points, the next generation method is used to determine the models reproductive number to climate incidents spread within the environment. To determine the most sensitive factors and look at how changes in the pace of change under various conditions affect coastal life, a sensitivity analysis was created. Both qualitative and quantitative analyses are performed on a proposed model, with particular focus on existence, boundedness, positivity, and unique solutions, which are key characteristics of the developed model. At endemic sites, the model’s local stability is confirmed both theoretically and statistically. The Lyapunov derivative by endemic point of the model is used to investigate the worldwide stability of the model. Chaos control is also used to observe the chaotic behavior of the climate change. A two-step method, Lagrange polynomials, is applied in numerical simulations to investigate the effect of the fractional operator on the generalized form of the power law kernel for ongoing surveillance of climate change under coastal lives. The simulations show how different parameters affect the changes in climate incidents spread within the environment under coastal lives. Simulations have been developed to simulate the effects and behavior of climate change brought on by both natural and human activity, as well as to implement various environmental health initiatives. This type of research will be helpful in figuring out how climate change spreads and in developing future management plans for coastal lives, based on our verified results for various strategies.
通过分析气候相关事件的变化如何在环境中,特别是沿海地区,作为预测的结果,来检验气候变化模型,是本研究的主要目标。在对各种变量的影响率进行了一些测量之后,利用健康环境的假设建立了一个数学模型,以调查影响沿海社区的气候变化速度。在研究模型平衡点的基础上,采用下一代方法确定模型对环境中传播的气候事件的繁殖数。为了确定最敏感的因素,并研究在不同条件下变化速度的变化如何影响沿海生物,进行了敏感性分析。对提出的模型进行定性和定量分析,特别关注存在性,有界性,正性和唯一解,这是开发模型的关键特征。在流行点,模型的局部稳定性在理论和统计上都得到了证实。利用模型特有点的Lyapunov导数研究了模型的全局稳定性。混沌控制也用于观测气候变化的混沌行为。一种两步方法,拉格朗日多项式,应用于数值模拟,以研究分数算子对幂律核的广义形式的影响,以持续监测沿海生活下的气候变化。模拟显示了不同的参数如何影响气候事件在沿海生物环境中传播的变化。已经开发了模拟,以模拟自然活动和人类活动造成的气候变化的影响和行为,并实施各种环境卫生举措。基于我们对各种策略的验证结果,这种类型的研究将有助于弄清楚气候变化是如何传播的,并有助于制定未来的沿海生物管理计划。
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引用次数: 0
Optimal transport and incentive design in multi-agent economic control 多主体经济控制下的最优运输与激励设计
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-12 DOI: 10.1016/j.rico.2026.100656
Ramen Ghosh
This paper develops a principled framework for incentive design in multi-agent economic systems using tools from optimal transport (OT) theory and decentralized control. We consider a class of stochastic multi-agent environments in which each agent selects actions to minimize individual cost functions that depend on both private preferences and aggregate outcomes. To promote socially desirable allocations, we introduce an OT-based mechanism design approach, where incentives are computed as gradients of a Lagrangian dual formulation over probability measures. Our main results establish: (i) a KKT-type characterization of incentive compatibility in Wasserstein space, (ii) monotonicity and fairness of equilibrium allocations under convex coupling, (iii) structural convexity of cost functionals over coupled agent dynamics, (iv) convergence of iterative market updates to optimal allocations, and (v) efficiency guarantees under decentralized feedback. We demonstrate that fairness and incentive alignment emerge naturally as solutions to constrained OT problems, allowing for scalable, interpretable, and robust economic control policies. This formulation provides a unifying perspective on decentralized optimization, mechanism design, and ergodic fairness in economic networks, and opens new directions for data-driven social planning under uncertainty.
本文利用最优运输理论和分散控制理论,建立了多智能体经济系统激励设计的原则框架。我们考虑了一类随机多智能体环境,其中每个智能体选择行动以最小化依赖于私人偏好和总结果的个体成本函数。为了促进社会理想的分配,我们引入了一种基于ot的机制设计方法,其中激励被计算为拉格朗日对偶公式在概率度量上的梯度。我们的主要研究结果建立了:(i) Wasserstein空间中激励相容性的kkt型表征,(ii)凸耦合下均衡分配的单调性和公平性,(iii)耦合agent动力学上成本函数的结构凸性,(iv)迭代市场更新对最优分配的收敛性,以及(v)分散反馈下的效率保证。我们证明,公平和激励一致性作为受限OT问题的解决方案自然出现,允许可扩展、可解释和稳健的经济控制政策。这一表述为经济网络中的分散优化、机制设计和遍历公平提供了统一的视角,为不确定条件下数据驱动的社会规划开辟了新的方向。
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引用次数: 0
Optimal control for resource allocation in a multi-patch epidemic model with gravity model-based human dispersal behavior 基于重力模型的人类扩散行为多斑块流行病模型中资源分配的最优控制
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2025-12-16 DOI: 10.1016/j.rico.2025.100648
A.S.K. Dinasiri , A.U.S. Adikari , H.C.Y. Jayathunga , I.T.S. Piyatilake
Mathematical models translate real-world problems into a structured framework, which makes it easier to investigate and analyze. Multi-patch compartmental models are used to model real-world scenarios related to epidemiology. Optimal control theory is used in this model to identify cost-effective strategies to minimize the proportion of individuals infected with COVID-19 in Sri Lanka. Since a nine-patch SIR-type model is considered in this research, human dispersal behaviors play a vital role. However, due to the lack of mobility data in Sri Lanka, a gravity model approach with a modified gravity model which models the human dispersal behaviors within and between patches is used to incorporate the human dispersal behaviors into the nine-patch SIR-type model. Then, the country is divided into three clusters using K-means clustering, based on the peak number of infections in each province without any control measures, for better representation. When using the control measure effective reproduction number (Rt) represents the spread of the disease with sensitivity with the current susceptible population. It is observed that, in the absence of controls, Rt decreases from 1.55 to 1.30 within 400 days, and that it decreases from 1.57 to 0 within 20 days in the presence of controls. Control measures such as health measures and vaccination can control the disease within 40, 30–40, and 20–30 days in high-risk, moderate, and low-risk regions, respectively. Furthermore, results suggest that vaccination is the most efficient control strategy since it minimizes disturbing the lives of the general community rather than public health measures.
数学模型将现实世界的问题转化为一个结构化的框架,这使得它更容易调查和分析。多斑块区隔模型用于模拟与流行病学相关的现实世界情景。在该模型中使用最优控制理论来确定成本效益策略,以最大限度地减少斯里兰卡感染COVID-19的个体比例。由于本研究考虑的是一个9块sir型模型,因此人类的扩散行为起着至关重要的作用。然而,由于斯里兰卡缺乏流动性数据,我们采用了一个修正的重力模型方法来模拟人类在斑块内和斑块间的扩散行为,将人类的扩散行为纳入到9个斑块的sir型模型中。然后,根据没有任何控制措施的每个省的感染高峰数量,使用K-means聚类将该国分为三个聚类,以便更好地代表。当采用控制措施时,有效繁殖数(Rt)代表疾病在当前易感人群中的传播具有敏感性。可以观察到,在没有对照的情况下,Rt在400天内从1.55下降到1.30,在有对照的情况下,它在20天内从1.57下降到0。在高风险、中等和低风险地区,卫生措施和疫苗接种等控制措施可分别在40天、30-40天和20-30天内控制疾病。此外,结果表明,疫苗接种是最有效的控制策略,因为它最大限度地减少了对一般社区生活的干扰,而不是公共卫生措施。
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引用次数: 0
Image classification and object detection complexity optimization: Exploring deep learning models on camera trap and surveillance clips 图像分类和目标检测复杂性优化:探索摄像机陷阱和监控片段的深度学习模型
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-03 DOI: 10.1016/j.rico.2026.100654
Hayder Yousif , Zahraa Al-Milaji
Input image size for convolutional neural networks (CNNs) has played a major role in classification accuracy and network speed. Designing a large depth, scale, and resolution CNN model cannot guarantee the best performance because of the problems of overfitting and memorization. On the other hand, object detection models have produced very low performance on event-triggered camera-trap images due to highly dynamic scenes. In this paper, we propose a framework for optimizing image classification in terms of performance and complexity by selecting the convenient deep learning model for each image. Based on the image sequence activation maps, we propose Resolution Selection Model (RSM) that generates a weight value for each image in the sequence. We utilize support vector machine (SVM) and the generated weight from RSM to select the appropriate deep learning model. We utilized EfficientNet models that have different input image resolutions to classify and detect the objects from the scaled images. Our results on camera-trap and surveillance images show the efficacy of the proposed method compared to the state-of-the-art architectures in terms of accuracy and computational complexity.
卷积神经网络(cnn)的输入图像大小对分类精度和网络速度起着重要作用。设计一个大深度、大尺度、大分辨率的CNN模型,由于存在过拟合和记忆问题,无法保证最佳的性能。另一方面,由于高度动态的场景,物体检测模型在事件触发的相机陷阱图像上产生了非常低的性能。在本文中,我们提出了一个框架,通过为每个图像选择方便的深度学习模型,从性能和复杂性方面优化图像分类。基于图像序列激活映射,我们提出了分辨率选择模型(RSM),该模型为序列中的每个图像生成一个权重值。我们利用支持向量机(SVM)和RSM生成的权值来选择合适的深度学习模型。我们利用具有不同输入图像分辨率的effentnet模型从缩放图像中对目标进行分类和检测。我们在摄像机陷阱和监控图像上的结果表明,与最先进的架构相比,所提出的方法在准确性和计算复杂性方面是有效的。
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引用次数: 0
A novel water bi-objective optimization in agricultural supply chains using Jackson Queue Network 基于Jackson队列网络的农业供应链用水双目标优化
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2025-12-28 DOI: 10.1016/j.rico.2025.100652
Sepideh Hemmatian Ashrafian, Vahid Baradaran, Hamid Esmaeeli
Inappropriate water use in agriculture is one of the main challenges in water resource management in any country. This situation indicates the need to improve irrigation methods and productivity. Saving water in agriculture can have high economic value and the importance of this issue is essential in maintaining food security and preventing water crises. The main goal of current study is to optimize water consumption in the agricultural sector. For this purpose, an innovative model of the agricultural supply chain (SC) under conditions of supply and demand uncertainty is designed to simultaneously balance two conflicting goals: reducing the total SC costs and reducing water consumption. By optimizing the water supply chain and reducing costs, farmers can achieve greater productivity. This means increased income and reduced economic risks in the agricultural sector. In addition, it will help identify the balance between costs and water consumption, allowing for not only cost reduction but also the conservation of water resources in the environment. A mathematical model of the agricultural supply chain is designed according to the Jackson Queuing Network. To control the non-deterministic parameters of demand and supply, the stable box method has been used. The model is analyzed using multi-objective decision making methods such as the Torabi-Hosseini (TH) method, Enhanced Epsilon Constraint (EPC) method, and the Non-Dominated Sorting Genetic Algorithm II (NSGA-II). The findings reveal that the use of high-tech processing centers leads to a significant reduction in water consumption, albeit at the cost of increased total SC expenses. As uncertainty in supply and demand rises, customer demand increases while agricultural material supply declines, prompting the expansion of processing and distribution centers. Furthermore, increasing the stability factor of the model improves water efficiency and demand fulfillment but leads to higher overall costs. Balancing sustainability and cost-efficiency in agricultural supply chain requires managing uncertainty through advanced modeling and technology investment.
农业用水不当是任何国家水资源管理的主要挑战之一。这种情况表明需要改进灌溉方法和提高生产力。农业节水具有很高的经济价值,这一问题的重要性对维持粮食安全和防止水危机至关重要。本研究的主要目标是优化农业部门的用水。为此,设计了供需不确定性条件下的农业供应链创新模型,以同时平衡两个相互冲突的目标:降低供应链总成本和减少用水量。通过优化水供应链和降低成本,农民可以获得更高的生产力。这意味着农业部门的收入增加和经济风险降低。此外,它将有助于确定成本和水消耗之间的平衡,不仅可以降低成本,而且还可以保护环境中的水资源。基于杰克逊排队网络,建立了农业供应链的数学模型。为了控制需求和供给的不确定性参数,采用了稳定箱法。采用Torabi-Hosseini (TH)法、增强型Epsilon约束(EPC)法和非支配排序遗传算法II (NSGA-II)等多目标决策方法对模型进行分析。研究结果表明,高科技加工中心的使用导致了用水量的显著减少,尽管其代价是SC总费用的增加。随着供需不确定性的增加,客户需求增加,农资供应减少,促使加工配送中心的扩张。此外,增加模型的稳定系数可以提高用水效率和满足需求,但会导致更高的总成本。平衡农业供应链的可持续性和成本效益需要通过先进的建模和技术投资来管理不确定性。
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引用次数: 0
Strategic intervention policies of human-to-human viral encephalitis: a mathematical control approach 人传人病毒性脑炎的策略性干预政策:数学控制方法
IF 3.2 Q3 Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-14 DOI: 10.1016/j.rico.2026.100658
M.S. Rahman , Rehena Nasrin , M.H.A. Biswas
Encephalitis is an acute inflammatory disease of the brain and continues to pose a significant public health challenge, particularly in the case of viral infections capable of sustained human-to-human transmission and progression to severe clinical outcomes. Effective disease management requires intervention strategies that can reduce transmission while avoiding excessive strain on limited healthcare resources. In this study, we develop and analyze an SEITR-type compartmental model that incorporates multiple intervention measures, including prevention, early treatment, intermittent therapy, and suppressive treatment. To better capture disease severity and healthcare demand, additional compartments representing intensive care unit (ICU) admission and ventilator support are included. Numerical simulations are carried out to investigate the combined impact of these interventions on disease dynamics and associated costs. The results indicate that coordinated implementation of control measures can substantially reduce the epidemic burden, lowering the peak number of infections by approximately 85 % and cumulative cases by about 95 % compared with an uncontrolled scenario, while remaining economically feasible within the model assumptions. These findings highlight the potential benefits of integrated intervention strategies for mitigating transmission and managing healthcare capacity during encephalitis outbreaks. The proposed framework provides a quantitative basis for comparative assessment of control strategies and may serve as a decision-support tool for exploring intervention trade-offs in the context of viral encephalitis.
脑炎是一种急性脑部炎症性疾病,继续对公共卫生构成重大挑战,特别是在病毒感染能够持续人际传播并发展为严重临床结果的情况下。有效的疾病管理需要能够减少传播的干预策略,同时避免对有限的卫生保健资源造成过度压力。在本研究中,我们开发并分析了seitr型室室模型,该模型包含多种干预措施,包括预防、早期治疗、间歇治疗和抑制性治疗。为了更好地捕捉疾病严重程度和医疗保健需求,还包括了代表重症监护病房(ICU)入院和呼吸机支持的额外隔间。进行数值模拟,以调查这些干预措施对疾病动态和相关成本的综合影响。结果表明,与不受控制的情况相比,协调实施控制措施可以大大减轻流行病负担,将峰值感染人数减少约85%,累计病例减少约95%,同时在模型假设范围内保持经济可行性。这些发现强调了综合干预策略在脑炎暴发期间减轻传播和管理卫生保健能力方面的潜在益处。提出的框架为控制策略的比较评估提供了定量基础,并可作为探索病毒性脑炎背景下干预权衡的决策支持工具。
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引用次数: 0
Enhancing portfolio optimization in emerging markets: A cross-validation multi-target shrinkage approach 加强新兴市场的投资组合优化:一种交叉验证的多目标收缩方法
IF 3.2 Q3 Mathematics Pub Date : 2025-12-01 Epub Date: 2025-09-11 DOI: 10.1016/j.rico.2025.100611
Minh Tran, Nhat M. Nguyen, Tuan A. Tran
This study formulates a novel portfolio optimization framework for emerging markets through the integration of cross-validation with a multi-target shrinkage estimator (CV-MTSE). The proposed method adaptively combines the sample covariance matrix with two structured targets, the Single Index Model and the Identity Matrix. Shrinkage intensities are optimized through a grid search-based cross-validation procedure. Using Vietnamese stock market data from 2013 to 2023, we compare CV-MTSE with traditional estimators such as SCM and equal-weighted. Empirical results demonstrate that CV-MTSE consistently achieves higher risk-adjusted returns and lower volatility particularly during stable market conditions. During periods of market stress, the equal-weighted MTSE model shows stronger robustness in term of volatility. These findings contributes to the literature on covariance matrix estimation and also has practical applications in portfolio management in emerging markets.
本研究通过交叉验证与多目标收缩估计器(CV-MTSE)的整合,为新兴市场制定了一个新的投资组合优化框架。该方法自适应地将样本协方差矩阵与单指标模型和单位矩阵这两个结构化目标相结合。收缩强度通过基于网格搜索的交叉验证程序进行优化。利用2013年至2023年的越南股市数据,我们将CV-MTSE与传统的估计方法(如SCM和等加权)进行了比较。实证结果表明,特别是在稳定的市场条件下,CV-MTSE始终能够实现更高的风险调整收益和更低的波动性。在市场压力时期,等加权MTSE模型在波动率方面表现出更强的稳健性。这些发现有助于协方差矩阵估计的文献,并在新兴市场的投资组合管理中具有实际应用价值。
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引用次数: 0
Fractal–fractional modeling and chaos analysis of a financial system with generalized memory kernels 广义记忆核金融系统的分形-分数建模与混沌分析
IF 3.2 Q3 Mathematics Pub Date : 2025-12-01 Epub Date: 2025-11-10 DOI: 10.1016/j.rico.2025.100632
A. Agathiyan , Vinothkumar. B , Ali Akgul , Fahad Sameer Alshammari
Chaotic behavior in financial systems strongly influences investment strategies, risk management, and policy decisions. Conventional fractional calculus, however, has limitations in capturing the memory and scaling effects that characterize such complexity. To address this gap, the present study employs a novel differential operator that unifies fractal and fractional calculus through the Caputo and Atangana–Baleanu kernels. The objective is to investigate the nonlinear dynamics of a financial chaotic model using fractal–fractional derivative operators. A numerical scheme is implemented to generate system trajectories, and the Lyapunov exponent is applied to assess chaotic transitions. The results show that variations in saving rate, per-investment cost, and demand elasticity significantly affect system stability and regime shifts. Compared with classical fractional formulations, the proposed approach uncovers crossover phenomena in phase portraits and reveals novel attractor structures. These findings provide deeper insight into the mechanisms underlying financial complexity and demonstrate the effectiveness of fractal–fractional calculus as a powerful framework for modeling real-world economic dynamics.
金融系统中的混沌行为强烈影响投资策略、风险管理和政策决策。然而,传统的分数微积分在捕捉这种复杂性特征的记忆和缩放效应方面存在局限性。为了解决这一差距,本研究采用了一种新的微分算子,通过Caputo和Atangana-Baleanu核统一分形和分数微积分。目的是利用分形-分数阶导数算子研究金融混沌模型的非线性动力学。采用数值格式生成系统轨迹,并采用李雅普诺夫指数评估混沌过渡。结果表明,储蓄率、每投资成本和需求弹性的变化对系统稳定性和制度转移有显著影响。与经典分数公式相比,该方法揭示了相图中的交叉现象,揭示了新的吸引子结构。这些发现为金融复杂性背后的机制提供了更深入的见解,并证明了分形-分数阶微积分作为模拟现实世界经济动态的强大框架的有效性。
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引用次数: 0
期刊
Results in Control and Optimization
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