Results in Control and Optimization最新文献_第2页

Effect of fear in a fractional order prey–predator model with time delayed carrying capacity 具有时间延迟承载能力的分数阶捕食模型中恐惧的影响

Results in Control and Optimization Pub Date : 2025-04-25 DOI: 10.1016/j.rico.2025.100567

Pramodh Bharati , Subrata Paul , Animesh Mahata , Supriya Mukherjee , Subhabrata Mondal , Banamali Roy

{"title":"Effect of fear in a fractional order prey–predator model with time delayed carrying capacity","authors":"Pramodh Bharati , Subrata Paul , Animesh Mahata , Supriya Mukherjee , Subhabrata Mondal , Banamali Roy","doi":"10.1016/j.rico.2025.100567","DOIUrl":"10.1016/j.rico.2025.100567","url":null,"abstract":"<div><div>The Caputo technique is used in this article to analyze the fractional-order predator–prey scenario. Incorporating a delayed carrying capacity for the prey population and posing the impact of individual prey fear on predators are two aspects of this. We first provide the model’s formulation in terms of an integer order derivative, and subsequently we expand it to a fractional order system in terms of the Caputo derivative. The article contains a number of conclusions about the prerequisites for the model’s existence and uniqueness as well as the restrictions on the boundedness and positivity of the solution. To satisfy the requirements for the existence and uniqueness of the precise solution, the Lipschitz condition is applied. Within the local context, we have examined the stability of equilibrium points. Additionally, we investigated whether Hopf bifurcation may occur at the interior equilibrium point of our suggested model. We have used the Generalised Euler technique to approximatively solve the model. The suggested scheme’s dependability is indicated by the fact that the results produced using the current numerical approach converge to equilibrium for the fractional order. For our research, MATLAB was used to enable graphical representations and numerical simulations.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100567"},"PeriodicalIF":0.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Advanced numerical treatment of modified Burger’s equations using method of lines and cubic B-splines 用直线法和三次b样条法对修正的Burger方程进行了高级数值处理

Results in Control and Optimization Pub Date : 2025-04-23 DOI: 10.1016/j.rico.2025.100561

Muhammad Yaseen , Irsa Ashraf , Aziz Khan , Thabet Abdeljawad

引用次数: 0

Fixed point theorem for Interpolative contraction of Suzuki type mappings in CAT (0) spaces CAT(0)空间中Suzuki型映射的插值收缩不动点定理

Results in Control and Optimization Pub Date : 2025-04-23 DOI: 10.1016/j.rico.2025.100566

Muhammad Sarwar , Nabil Mlaiki , Faisal Iqbal

引用次数: 0

Optimal control on a metric graph for a damped linear fractional hyperbolic problem 一类阻尼线性分数型双曲型问题的度量图最优控制

Results in Control and Optimization Pub Date : 2025-04-21 DOI: 10.1016/j.rico.2025.100563

Pasquini Fotsing Soh

{"title":"Optimal control on a metric graph for a damped linear fractional hyperbolic problem","authors":"Pasquini Fotsing Soh","doi":"10.1016/j.rico.2025.100563","DOIUrl":"10.1016/j.rico.2025.100563","url":null,"abstract":"<div><div>The optimal control of fractional PDEs has been extensively studied in standard domains, but the existence and uniqueness of optimal controls in metric graphs, particularly for hyperbolic equations, remain less explored. Most studies focus on classical damping (e.g., viscous damping) or integer-order damping in hyperbolic problems, whereas the impact of fractional-order damping on control and optimization in metric graphs has received limited attention. Given the potential applications of these results to real-world problems such as pollution transport in river networks, traffic flow control, and heat propagation in branched structures, this presents a significant and promising research gap. This paper addresses a quadratic control problem involving a damped linear fractional hyperbolic equation subject to Dirichlet and Neumann boundary conditions. The considered fractional derivative is a composition of the right Caputo fractional derivative and the left Riemann–Liouville fractional derivative. We first give some existence and uniqueness results on an open bounded real interval, prove the existence of solutions to a quadratic optimal control problem and provide a characterization via optimality systems. We then investigate the analogous problems for a fractional Damped hyperbolic problem on a metric graph with mixed Dirichlet and Neumann boundary controls. The paper’s motivation likely arises from the desire to advance mathematical theory and control theory, especially in the context of complex systems represented by metric graphs. The potential impact or applications of these results span a wide range of fields, from engineering and network control to medical imaging and environmental science, where understanding and optimizing damped hyperbolic systems are essential.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100563"},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analytical techniques for understanding biofilm modeling in indoor air quality management 了解室内空气质量管理中生物膜模型的分析技术

Results in Control and Optimization Pub Date : 2025-04-21 DOI: 10.1016/j.rico.2025.100564

R. Vignesh Raju , N. Jeeva , M.C. Kekana , S.E. Fadugba , R. Swaminathan

{"title":"Analytical techniques for understanding biofilm modeling in indoor air quality management","authors":"R. Vignesh Raju , N. Jeeva , M.C. Kekana , S.E. Fadugba , R. Swaminathan","doi":"10.1016/j.rico.2025.100564","DOIUrl":"10.1016/j.rico.2025.100564","url":null,"abstract":"<div><div>This study presents a theoretical and mathematical framework for developing a dimensionless model to enhance the removal of volatile organic compounds (VOCs) through (botanical) biofiltration in indoor environments. Although biofiltration is a promising strategy for the control of indoor air pollution, the precise mechanism of VOC removal remains not well understood. The proposed model is formulated using nonlinear differential equations under specified boundary conditions to represent biofilm mass balance concentrations. To obtain approximate solutions, Homotopy perturbation and Akbari-Ganji analytical techniques are applied. In addition, numerical simulations are performed using MATLAB® and compared with analytical results to validate precision. The findings indicate that optimizing the biofilm thickness and reaction rates significantly enhances the removal efficiency of VOCs. Improves understanding of the behavior of biofilms through advanced mathematical analysis, contributing to the development of more effective biofiltration strategies for improved indoor air quality management.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100564"},"PeriodicalIF":0.0,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A weighted error-minimizer parameter estimation technique for one-inflated positive Poisson distribution 一种单膨胀正泊松分布的加权误差最小化参数估计技术

Results in Control and Optimization Pub Date : 2025-04-21 DOI: 10.1016/j.rico.2025.100569

Razik Ridzuan Mohd Tajuddin

引用次数: 0

A brief survey of line search methods for optimization problems 优化问题的直线搜索方法综述

Results in Control and Optimization Pub Date : 2025-04-19 DOI: 10.1016/j.rico.2025.100550

Audu Umar Omesa , Sulaiman Mohammed Ibrahim , Rabiu Bashir Yunus , Issam A.R. Moghrabi , Muhammad Y. Waziri , Aceng Sambas

{"title":"A brief survey of line search methods for optimization problems","authors":"Audu Umar Omesa , Sulaiman Mohammed Ibrahim , Rabiu Bashir Yunus , Issam A.R. Moghrabi , Muhammad Y. Waziri , Aceng Sambas","doi":"10.1016/j.rico.2025.100550","DOIUrl":"10.1016/j.rico.2025.100550","url":null,"abstract":"<div><div>The line search methods for optimization problems have garnered widespread adoption across various domains and applications, primarily due to their effectiveness in addressing intricate problems. An important component that ensures the success of various iterative algorithms is the search direction (<span><math><msub><mrow><mi>d</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>) while the step-size (<span><math><msub><mrow><mi>α</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>) ensures global convergence in different schemes. While the literature offers general guidelines for line search selection, few studies investigate how specific problem constraints impact the performance of optimization methods. This paper presents a comprehensive survey and classification of line search methods, focusing on their computational efficiency and performance under varied problem constraints. We examine the influence of different line search parameters across standard test functions through extensive numerical tests. Our findings suggest practical guidelines for selecting suitable line search methods based on problem characteristics, offering researchers insights into method suitability, and contributing to the significant practical application of optimization in diverse fields.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100550"},"PeriodicalIF":0.0,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Optimal control of interactions between invasive alien and native species in a certain time period with the r-PINN approach 用 r-PINN 方法优化控制外来入侵物种和本地物种在一定时期内的相互作用

Results in Control and Optimization Pub Date : 2025-04-12 DOI: 10.1016/j.rico.2025.100557

Yudi Ari Adi , Danang A. Pratama , Maharani A. Bakar , Sugiyarto Surono , Suparman , Agung Budiantoro

{"title":"Optimal control of interactions between invasive alien and native species in a certain time period with the r-PINN approach","authors":"Yudi Ari Adi , Danang A. Pratama , Maharani A. Bakar , Sugiyarto Surono , Suparman , Agung Budiantoro","doi":"10.1016/j.rico.2025.100557","DOIUrl":"10.1016/j.rico.2025.100557","url":null,"abstract":"<div><div>The spread of invasive species poses a significant challenge to native biodiversity and ecosystem stability. An optimal control strategies to minimize the negative impacts of invasive species populations on native species and the ecosystem must be done in order to preserve the diversity in the ecosystem. This study proposes an optimal control framework to mitigate the impact of invasive species by enhancing native species preservation through a reaction–diffusion mathematical model. To solve the system efficiently, a restarting Physics-Informed Neural Network (r-PINN) is employed and benchmarked against the basic PINN. Numerical simulations reveal that r-PINN achieves a reduced training duration of 236.17 s compared to 289.18 s for the basic PINN, representing an 18.32% improvement in computational efficiency. Moreover, r-PINN demonstrates enhanced predictive accuracy, reducing the mean absolute error (MAE) by 4.12%, mean squared error (MSE) training loss by 12.04%, and MSE test loss by 5.11%. These results were validated against the Finite Difference Method (FDM), ensuring correctness of the proposed PINN-based approach. The implementation of the optimal control strategy led to a clear increase in native species populations and effective suppression of invasive species across spatial and temporal domains. Overall, the r-PINN framework offers a reliable and computationally efficient tool for solving nonlinear ecological models involving spatiotemporal control of species populations.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100557"},"PeriodicalIF":0.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fuzzy TOPSIS technique for multi-criteria group decision-making: A study of crude oil price 多准则群体决策的模糊TOPSIS技术：原油价格研究

Results in Control and Optimization Pub Date : 2025-04-09 DOI: 10.1016/j.rico.2025.100565

Sandhya Priya Baral, Prashanta Kumar Parida, Diptirekha Sahoo

引用次数: 0

Factors influencing women's participation in SHGs: An empirical evidence from mayurbhanj district of Odisha, India 影响妇女参与SHGs的因素：来自印度奥里萨邦mayurbhanj地区的经验证据

Results in Control and Optimization Pub Date : 2025-04-09 DOI: 10.1016/j.rico.2025.100559

Itishree Panda , Damodar Jena , S Naveen , Saismita Swain , Shusrisangeeta Das

引用次数: 0