Results in Control and Optimization最新文献

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The role of amensalism and parasitism on the dynamics of three species ecological system 寄生性和寄生性对三种生态系统动态的影响
Results in Control and Optimization Pub Date : 2025-05-22 DOI: 10.1016/j.rico.2025.100571
Alyaa Raad Saleh Abd Alhadi, Raid Kamel Naji
{"title":"The role of amensalism and parasitism on the dynamics of three species ecological system","authors":"Alyaa Raad Saleh Abd Alhadi,&nbsp;Raid Kamel Naji","doi":"10.1016/j.rico.2025.100571","DOIUrl":"10.1016/j.rico.2025.100571","url":null,"abstract":"<div><div>This paper introduces a novel mathematical model of a three-species ecosystem that includes biological relationships such as amensalism and parasitism. Unlike most previous studies, it assumed that the ecosystem consists of three different kinds of interactions at the same time: two host–parasite interactions, while the third one is amensal–enemy interactions. To do the dynamic analysis of this system, all of the solution’s attributes were examined, and potential equilibrium points were found. The local stability was established using the linearization technique. The global stability was examined using Lyapunov functions. Every prerequisite for perseverance was identified. The effects of varying the parameters were investigated using the bifurcation theory. A computer simulation was applied to bolster our analytical research. It is observed that the proposed model has a globally stable coexistence point, while the periodic dynamics do not exist. The impact of amensalism and parasitism is clearly shown due to the transition of the solution from the coexistence point to the planar equilibrium points once their rates exceed a vital value, and conversely, it is proved that the system <span><span>(3)</span></span> undergoes a transcritical bifurcation near the first axial and the enemy–host-free equilibrium points.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100571"},"PeriodicalIF":0.0,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144134244","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
Addressing ORPD problem in a standard IEEE power network accompanied with RESs and FACTs appliances by COMMKE under volatile load scenarios comke在不稳定负载情况下解决带有RESs和FACTs设备的标准IEEE电网中的ORPD问题
Results in Control and Optimization Pub Date : 2025-05-22 DOI: 10.1016/j.rico.2025.100572
Susanta Dutta , Tushnik Sarkar , Chandan Paul , Sabbir Reza Tarafdar , Provas Kumar Roy , Ghanshyam G. Tejani , Seyed Jalaleddin Mousavirad
{"title":"Addressing ORPD problem in a standard IEEE power network accompanied with RESs and FACTs appliances by COMMKE under volatile load scenarios","authors":"Susanta Dutta ,&nbsp;Tushnik Sarkar ,&nbsp;Chandan Paul ,&nbsp;Sabbir Reza Tarafdar ,&nbsp;Provas Kumar Roy ,&nbsp;Ghanshyam G. Tejani ,&nbsp;Seyed Jalaleddin Mousavirad","doi":"10.1016/j.rico.2025.100572","DOIUrl":"10.1016/j.rico.2025.100572","url":null,"abstract":"<div><div>This research examines the optimal reactive power dispatch (ORPD) problem across IEEE 30 &amp; 118 bus experimental networks. In particular, we incorporate renewable energy sources (RESs) like solar photovoltaic (PV) and wind power (WP) into the conventional network after first balancing it. Both singular and multiple objective functions (OFs) are considered here. These are, both alone and together, a drop in aggregated voltage deviation (AVD) over buses and a reduction in active power loss (APL). Twenty one cases in all have been looked at using three test frameworks. TSC-TCR (FACTs devices) with test setup are being used for cases 4–6, 9–12 &amp; 16–21. The objectives have been achieved by the use of the COMMKE algorithm, a multi-trial vector-based monkey king evolution (MMKE) method integrated with oppositional based learning (OBL) and chaotic based learning (CBL). Comparative analysis has also been done on the performance of the other optimization methods that were showcased in the latest ORPD research. Both constant and dynamic load demand scenarios are covered in the study. Appropriate probability density functions (PDF) are used to forecast the uncertain WP, PV source, and load demand. Uncertain situations with fluctuating load demand, wind speed (WS), and sun irradiation (SI) are simulated using Monte Carlo simulations (MCS). The investigations’ findings demonstrate that, in a variety of cases, the COMMKE outperforms optimization techniques found in the recent ORPD literature. The improvement of power network efficiency in ORPD difficulties by the application of TSC-TCR is another noteworthy conclusion. To scrutinize the performance of COMMKE, the identical experiments have been conducted using MMKE &amp; driving training based optimization (DTB) and the results coming from COMMKE, MMKE &amp; DTBO are compared. To make this comparison more lucid, statistical records are produced, box plots are presented, error bar plots are used and moreover one way ANOVA test has been performed over the results generated through the different optimization approaches.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100572"},"PeriodicalIF":0.0,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170621","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
Quantifying control measures for lumpy skin disease in cattle using a vector–host transmission model 用媒介-宿主传播模型定量控制牛肿块性皮肤病的措施
Results in Control and Optimization Pub Date : 2025-05-21 DOI: 10.1016/j.rico.2025.100573
Din Prathumwan , Nattakarn Numpanviwat , Kamonchat Trachoo , Pearanat Chuchard , Inthira Chaiya
{"title":"Quantifying control measures for lumpy skin disease in cattle using a vector–host transmission model","authors":"Din Prathumwan ,&nbsp;Nattakarn Numpanviwat ,&nbsp;Kamonchat Trachoo ,&nbsp;Pearanat Chuchard ,&nbsp;Inthira Chaiya","doi":"10.1016/j.rico.2025.100573","DOIUrl":"10.1016/j.rico.2025.100573","url":null,"abstract":"<div><h3>Purpose:</h3><div>This study aims to develop a mathematical model to understand and control the spread of lumpy skin disease in cattle populations, incorporating blood-sucking insects as vectors.</div></div><div><h3>Research Question:</h3><div>How can the interaction between cattle and vectors be effectively modeled to assess the impact of control strategies such as quarantine and treatment on the transmission of lumpy skin disease?</div></div><div><h3>Methodology:</h3><div>The population dynamics are modeled using the SLIQR-SL framework, categorizing cattle into six disease states and vectors into two states. Stability analysis is performed to identify equilibrium points, and the basic reproduction number (<span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>) is calculated to evaluate disease persistence or eradication conditions. Numerical simulations are conducted to assess various control strategies.</div></div><div><h3>Validation:</h3><div>The model’s predictions are validated through numerical examples, demonstrating its ability to replicate observed transmission patterns and evaluate control measures.</div></div><div><h3>Results:</h3><div>The analysis reveals that when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&lt;</mo><mn>1</mn></mrow></math></span>, lumpy skin disease can be eradicated, but when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&gt;</mo><mn>1</mn></mrow></math></span>, the disease persists. Numerical simulations highlight the critical role of quarantine and treatment in significantly reducing disease prevalence.</div></div><div><h3>Significance:</h3><div>The findings provide actionable insights for policymakers and veterinarians, emphasizing the importance of integrated control strategies in mitigating lumpy skin disease outbreaks and minimizing economic losses.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100573"},"PeriodicalIF":0.0,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144107780","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 new model of the impact of chronic hepatitis C and its treatment on the development of tuberculosis: An optimal control and sensitivity analysis 慢性丙型肝炎及其治疗对结核病发展影响的新模型:最优控制和敏感性分析
Results in Control and Optimization Pub Date : 2025-05-19 DOI: 10.1016/j.rico.2025.100574
Chaimae El Mourabit, Nadia Idrissi Fatmi
{"title":"A new model of the impact of chronic hepatitis C and its treatment on the development of tuberculosis: An optimal control and sensitivity analysis","authors":"Chaimae El Mourabit,&nbsp;Nadia Idrissi Fatmi","doi":"10.1016/j.rico.2025.100574","DOIUrl":"10.1016/j.rico.2025.100574","url":null,"abstract":"<div><div>This study offers a mathematical model with eight compartments that explain how tuberculosis spreads among individuals afflicted with HCV. The novelty of this work comes through mathematical modeling of the dynamics of tuberculosis in HCV cases on the one hand and in patients receiving DAA treatment on the other. We analyze the formulated model by proving a solution’s existence and showing the system solution’s positivity and boundedness. Furthermore, the model is reconstructed as an optimal control issue, considering three controls (consciousness, treatment, and early detection) to decrease the prevalence of tuberculosis in HCV-infected people, utilizing Pontryagin’s maximum principle. Finally, numerical simulations are performed using MATLAB, and the outcomes validate that treatment combined with early detection and consciousness reduces the spread of tuberculosis among individuals affected with HCV compared to scenarios without control, leading to improved overall outcomes.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100574"},"PeriodicalIF":0.0,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144089306","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
Opinion mining in e-commerce: Evaluating machine learning approaches for sentiment analysis 电子商务中的意见挖掘:评估情感分析的机器学习方法
Results in Control and Optimization Pub Date : 2025-05-18 DOI: 10.1016/j.rico.2025.100575
L. Lakshmi , Ali B.M. Ali , K Dhana Sree Devi , Muhammad Rafiq , Iskandar Shernazarov , Nashwan Adnan Othman , M. Ijaz Khan
{"title":"Opinion mining in e-commerce: Evaluating machine learning approaches for sentiment analysis","authors":"L. Lakshmi ,&nbsp;Ali B.M. Ali ,&nbsp;K Dhana Sree Devi ,&nbsp;Muhammad Rafiq ,&nbsp;Iskandar Shernazarov ,&nbsp;Nashwan Adnan Othman ,&nbsp;M. Ijaz Khan","doi":"10.1016/j.rico.2025.100575","DOIUrl":"10.1016/j.rico.2025.100575","url":null,"abstract":"<div><div>In recent years, opinion mining has played a major role in analyzing text data from various sources such as Amazon, Capterra, Facebook, Google, GetApp, and Twitter. It enables companies to actively refine their business strategies. Sentiment analysis involves interpreting and classifying customer emotions (positive, neutral, and negative) expressed in reviews using sentiment analysis techniques such as BING and AFINN. This paper presents four approaches for customer review analysis and classification: the grade-based approach, content-based approach, content-based NRC-Emotion Lexicon approach, and collaborative approach. We employ three machine learning algorithms—stacking, random forest, and LogitBoost—to evaluate the performance of these approaches. A real-time dataset from Amazon product reviews is used for training and testing the model. Empirical results reveal that the collaborative approach outperforms the grade-based, content-based, and content-based NRC-Emotion Lexicon approaches across all three machine learning algorithms. Additionally, all approaches demonstrate outstanding performance when using the boosting algorithm for customer review classification.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100575"},"PeriodicalIF":0.0,"publicationDate":"2025-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144107871","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
Localization of partial discharge in the high voltage apparatus 高压设备局部放电的定位
Results in Control and Optimization Pub Date : 2025-05-03 DOI: 10.1016/j.rico.2025.100562
Amir Ghaedi , Mehrdad Mahmoudian , Eduardo M.G. Rodrigues , Rui Melicio
{"title":"Localization of partial discharge in the high voltage apparatus","authors":"Amir Ghaedi ,&nbsp;Mehrdad Mahmoudian ,&nbsp;Eduardo M.G. Rodrigues ,&nbsp;Rui Melicio","doi":"10.1016/j.rico.2025.100562","DOIUrl":"10.1016/j.rico.2025.100562","url":null,"abstract":"<div><div>Partial discharges (PD) in high-voltage (HV) devices can be used as indicators of insulation deterioration, often preceding catastrophic failures in power systems. This paper presents a novel approach for locating and identifying PD sources in HV equipment, targeting insulation condition monitoring in power transformers, XLPE cables, and generators. The new technique utilizes the correlation between PD signal energy characteristics to estimate the source location. The effectiveness of the proposed method is validated through selected case studies involving XLPE cables, transformers, and generators. The results demonstrate that the technique can accurately locate PD sources, potentially enhancing the reliability and longevity of HV power equipment. Key contributions of this work include: a comprehensive review of PD detection sensors, with a focus on electrical methods for high-frequency pulse measurement; experimental characterization of PD signals in XLPE cables and transformers, providing insights into their frequency properties; development of a correlation-based algorithm for PD localization, utilizing a database of simulated PD signals; and validation of the proposed method through EMTP-RV simulations and MATLAB signal processing, showing high accuracy in PD source localization. However, the proposed technique has limitations that prevents its generalized which are highlighted in the paper.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100562"},"PeriodicalIF":0.0,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929180","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
Bayesian topology inference of regulatory networks under partial observability 部分可观测条件下调控网络的贝叶斯拓扑推断
Results in Control and Optimization Pub Date : 2025-05-01 DOI: 10.1016/j.rico.2025.100570
Mohammad Alali, Mahdi Imani
{"title":"Bayesian topology inference of regulatory networks under partial observability","authors":"Mohammad Alali,&nbsp;Mahdi Imani","doi":"10.1016/j.rico.2025.100570","DOIUrl":"10.1016/j.rico.2025.100570","url":null,"abstract":"<div><div>Biological systems, such as microbial communities in metagenomics and gene regulatory networks (GRNs) in genomics, are composed of a vast number of interacting components observed through inherently noisy data. These systems play a critical role in understanding fundamental biological processes, including gene regulation, microbial interactions, and cellular dynamics. For example, microbial communities involve complex interactions between microbes, bacteria, genes, and small molecules observed through omics data, while GRNs consist of numerous interacting genes observed via various gene-expression technologies. However, reconstructing the topology of such networks poses significant challenges due to their large scale, high dimensionality, and the presence of noise. Existing inference techniques often struggle with scalability, interpretability, and overfitting, making them unsuitable for analyzing large and complex biological systems. To overcome these challenges, this paper proposes a Bayesian topology optimization framework for efficient and scalable inference of regulatory networks modeled as partially-observed Boolean dynamical systems (POBDS). The method combines the Boolean Kalman Filter (BKF) as an optimal estimator for POBDS, with Bayesian optimization, which employs Gaussian Process regression and a topology-inspired kernel function to model the log-likelihood function. Numerical experiments demonstrate the superior performance of our framework. In the p53-MDM2 network, our method accurately infers topology with 8 and 16 unknown regulations, achieving higher log-likelihood with 100 and 200 evaluations, respectively. For the mammalian cell cycle network with 10 unknown regulations, proposed method identifies the correct topology among 59,049 possibilities with lower error and faster convergence.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100570"},"PeriodicalIF":0.0,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903727","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 PD control for a quadrotor with experimental results 四旋翼飞行器的模糊PD控制及实验结果
Results in Control and Optimization Pub Date : 2025-04-30 DOI: 10.1016/j.rico.2025.100568
Anh T. Nguyen , Nam H. Nguyen , Mien L. Trinh
{"title":"Fuzzy PD control for a quadrotor with experimental results","authors":"Anh T. Nguyen ,&nbsp;Nam H. Nguyen ,&nbsp;Mien L. Trinh","doi":"10.1016/j.rico.2025.100568","DOIUrl":"10.1016/j.rico.2025.100568","url":null,"abstract":"<div><div>Quadrotor is an unmanned aerial vehicle widely used in traffic construction monitoring, volcano monitoring, forest fire, power line inspection, missing person search and disaster relief. The dynamic model of quadrotor becomes complex and non-linear due to four motors with four propellers to control and stabilize the motion. One disadvantage of the traditional PID controller is that its parameters are tuned based on trials and errors, but the fuzzy PID controller will automatically adjust its PID gains based on the IF-THEN rules and the parameters of the fuzzy systems are designed beforehand. For other adaptive fuzzy controllers, their parameters are online updated with large computational load. In this paper, we design an intelligent controller to manage the operating state of quadrotor (UAV) by combining the advantages of traditional PD controller with fuzzy logic inference systems to tune its parameters. These Fuzzy PD controllers performs control of the movement of the quadrotor along three axes to follow the desired trajectory. The proposed Fuzzy PD control system for the quadrotor is simulated and evaluated on Matlab-Simulink, then conducted with real-time experiments on QDrone2 physical system. Simulation and experimental results with comparisons to the PD controller have proven the effectiveness of the proposed control method with small tracking error under the impact of time-varying disturbance and additional load.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100568"},"PeriodicalIF":0.0,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143895798","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
Practical implementation of a type-2 fuzzy logic controller for steering a service robot 服务机器人控制的2型模糊控制器的实际实现
Results in Control and Optimization Pub Date : 2025-04-28 DOI: 10.1016/j.rico.2025.100558
Suci Dwijayanti, Bhakti Y. Suprapto, Ichlasul A. Rizky
{"title":"Practical implementation of a type-2 fuzzy logic controller for steering a service robot","authors":"Suci Dwijayanti,&nbsp;Bhakti Y. Suprapto,&nbsp;Ichlasul A. Rizky","doi":"10.1016/j.rico.2025.100558","DOIUrl":"10.1016/j.rico.2025.100558","url":null,"abstract":"<div><div>Service robots are designed to assist humans in various tasks and often rely on wheeled locomotion for navigation. Effective robot movement requires a robust control system to regulate steering and ensure precise maneuvering toward locations. However, a common challenge in service robot navigation is the lack of precision in steering control. To address this issue, this study implements and evaluates a steering control system for wheeled service robots using a type-2 fuzzy logic controller (T2-FLC). The proposed T2-FLC system incorporates two input variables: error (difference between the setpoint determined by the light detection and ranging sensor and the steering encoder reading) and de-error (difference between the current and previous error values). Subsequently, these inputs are converted into three, five, or seven membership functions (MFs). Comparative simulation analysis revealed that the T2-FLC with seven MFs outperformed that with alternative MF configurations and a conventional type-1 FLC and achieved a minimal steady-state error of 0.0118. Real-time experiments further validated these findings, with the seven-MF T2-FLC producing a steady-state error of only 3.6 during a 90° setpoint test. In obstacle navigation trials, a T2-FLC-equipped robot navigated to target destinations in 32.49 s in stationary obstacle scenarios and within 41.78 s in dynamic obstacle environments. These findings confirm that the T2-FLC significantly enhances steering performance, making it viable for controlling service robot navigation.</div></div>","PeriodicalId":34733,"journal":{"name":"Results in Control and Optimization","volume":"19 ","pages":"Article 100558"},"PeriodicalIF":0.0,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143917509","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
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 ,&nbsp;Subrata Paul ,&nbsp;Animesh Mahata ,&nbsp;Supriya Mukherjee ,&nbsp;Subhabrata Mondal ,&nbsp;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
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