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Differential Evolution With Allocation of Mutation Strategy to Individual Based on Fitness Ranking 基于适应度排序的个体突变策略分配的差异进化
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-21 DOI: 10.1155/cplx/5572156
Jianyi Peng, Gang Chen, Xianju Li, Xuewu Han

Real parameter single objective optimization has been the subject of extensive research. Differential evolution (DE) has exhibited remarkable performance. Recently, long-term search has emerged as a new focal point of real parameter single objective optimization. In existing DE variants for long-term search, integration of multiple mutation strategies or execution of local search is studied. In this paper, an algorithm named DE with allocation of mutation strategy to individual based on fitness ranking (AMSIFRDE) is proposed. In AMSIFRDE, the two aspects are both considered and enhanced. Different individuals are allocated to different mutation strategies, respectively, according to their ranking. In addition, a local search technique processes the median individual and the best one in turn in different generations. Experiments are conducted using the CEC 2020 and 2022 benchmark test suites and demonstrate that AMSIFRDE performs either better than or at least comparably to seven other algorithms for long-term search.

实参数单目标优化一直是人们广泛研究的课题。差分进化(DE)表现出显著的性能。近年来,长期搜索已成为实参数单目标优化的新热点。在现有的长期搜索DE变体中,研究了多突变策略的集成或局部搜索的执行。本文提出了一种基于适应度排序的个体突变策略分配算法(AMSIFRDE)。在AMSIFRDE中,这两个方面都得到了考虑和加强。不同的个体根据其排名分别被分配到不同的突变策略。此外,局部搜索技术在不同的世代中依次处理中值个体和最佳个体。实验使用CEC 2020和2022基准测试套件进行,并证明AMSIFRDE在长期搜索方面的性能优于或至少与其他七种算法相当。
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引用次数: 0
Correction to “Complexity in the Wake of Artificial Intelligence” 对“人工智能带来的复杂性”的更正
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-20 DOI: 10.1155/cplx/9863640

T. Modis, “Complexity in the Wake of Artificial Intelligence,” Complexity 2025 (2025): 7656280, https://doi.org/10.1155/cplx/7656280.

In the article titled “Complexity in the Wake of Artificial Intelligence,” there is an error in Figure 4, where the graph in Figure 4 is identical to the graph in Figure 3. This is incorrect. The corrected figure is shown below and is listed as Figure 1:

We apologize for this error.

T. Modis,“人工智能后的复杂性”,Complexity 2025 (2025): 7656280, https://doi.org/10.1155/cplx/7656280.In这篇题为“人工智能后的复杂性”的文章中,图4中有一个错误,图4中的图形与图3中的图形相同。这是不正确的。更正后的图如下图1所示:我们为这个错误道歉。
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引用次数: 0
Dynamics of an Aquaculture Model With Impulsive Harvesting of Predators and Density-Dependent Nonlinear Release of Prey 具有捕食者脉冲捕获和猎物密度相关非线性释放的水产养殖模型动力学
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-17 DOI: 10.1155/cplx/2274956
Zeli Zhou, Jianjun Jiao, Xiangjun Dai

In this article, we propose an aquaculture model with impulsive harvesting predator and density-dependent nonlinear releasing prey. By taking advantage of the stroboscopic map and Cardano’s formula, the predator-extinction periodic solution is derived for three different cases. The conditions for the global asymptotic stability of the predator-extinction periodic solution and for the permanence of the model are obtained using Floquet theory and the comparison theorem of impulsive differential equations, respectively. Furthermore, using bifurcation theory with the impulsive period as a parameter, we establish conditions under which the system bifurcates from a predator-extinction periodic solution to a positive periodic solution, signifying prey–predator coexistence as the impulsive period crosses a critical value. To demonstrate the main results and investigate the effects of the impulsive control period and the maximum prey release amount on the dynamic behavior of the investigated model, numerical simulations are conducted. The results show that both the impulsive period and the maximum prey release amount significantly affect the dynamic behavior of the model. These findings provide a reliable theoretical basis for practical aquaculture management.

本文提出了一种具有脉冲捕获捕食者和密度相关非线性释放猎物的水产养殖模型。利用频闪图和卡尔达诺公式,导出了三种不同情况下的捕食-灭绝周期解。利用Floquet理论和脉冲微分方程的比较定理,分别得到了捕食-灭绝周期解全局渐近稳定的条件和模型持久的条件。利用以脉冲周期为参数的分岔理论,建立了系统从捕食者-灭绝周期解向正周期解分岔的条件,表明当脉冲周期越过一个临界值时,捕食者-捕食者共存。为了验证主要结果,研究脉冲控制周期和最大猎物释放量对所研究模型动态行为的影响,进行了数值模拟。结果表明,脉冲周期和最大猎物释放量对模型的动态行为有显著影响。这些发现为实际水产养殖管理提供了可靠的理论依据。
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引用次数: 0
Bifurcation Dynamics and Complex Behavior in a Discrete-Time Predator–Prey Model With Cross-Species Interaction Incorporating Holling Type-II Response 包含Holling ii型响应的跨物种相互作用的离散时间捕食者-猎物模型的分岔动力学和复杂行为
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-14 DOI: 10.1155/cplx/9715552
Muhammad Rafaqat, Syed Tauseef Saeed, Salman Saleem, Feyisa Edosa Merga

We investigate the nonlinear dynamics of a discrete-time predator–prey model governed by a Holling Type-II functional response. Starting from a biologically motivated continuous-time system, we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters. The resulting two-dimensional nonlinear system is analyzed for the existence and local stability of fixed points. Analytical conditions are established for the occurrence of flip (period-doubling) and Neimark–Sacker bifurcations, characterizing the transition from steady states to periodic and quasi-periodic behavior as system parameters vary. Employing center manifold theory and normal form computations, we derive expressions for the first Lyapunov coefficient to determine the direction and stability of bifurcating invariant curves. To suppress chaotic dynamics induced by bifurcations, we implement a hybrid feedback control mechanism and establish sufficient conditions under which the controlled system regains local asymptotic stability. Numerical results, bifurcation diagrams, and phase portraits corroborate the theoretical results. The framework developed herein provides a rigorous foundation for analyzing and stabilizing discrete ecological models with nonlinear interaction terms.

我们研究了一个由Holling ii型功能响应控制的离散时间捕食者-猎物模型的非线性动力学。从生物驱动的连续时间系统出发,通过显式欧拉方法导出其离散模拟,并采用无量纲化来减少参数的数量。分析了得到的二维非线性系统不动点的存在性和局部稳定性。建立了系统发生翻转(周期加倍)和neimmark - sacker分岔的解析条件,描述了系统参数变化时从稳态向周期和准周期行为的转变。利用中心流形理论和范式计算,导出了确定分岔不变曲线方向和稳定性的第一Lyapunov系数的表达式。为了抑制分岔引起的混沌动力学,我们实现了一种混合反馈控制机制,并建立了被控系统恢复局部渐近稳定的充分条件。数值结果、分岔图和相图证实了理论结果。本文建立的框架为分析和稳定具有非线性相互作用项的离散生态模型提供了严格的基础。
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引用次数: 0
Explainable AI Models for Decoding Emotional Subtexts on Social Media 解读社交媒体情感潜台词的可解释人工智能模型
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-10 DOI: 10.1155/cplx/9258956
Dost Muhammad, Iftikhar Ahmed, Khwaja Naveed, Malika Bendechache

Social media platforms, such as X (formerly Twitter), provide users with concise but impactful tools to express their views and feelings. Users present their views and express their feelings in hashtags and emojis on a wide range of topics. The sheer volume of this textual data offers a rich source for analyzing public sentiment and emotions. Numerous machine learning and deep learning approaches have been presented lately for optimal emotion detection and sentiment analysis of these tweets. Given the complexity of processing human language, natural language processing (NLP) techniques face the challenge of explainability in their decision-making process. To bridge this gap, we introduce an explainable NLP-based framework for the recognition of human emotions within textual data. We propose a novel recurrent neural network architecture incorporating a bidirectional long short-term memory layer for emotion prediction and sentiment analysis on English tweets. The performance of the proposed model is evaluated with real-world X data against benchmark techniques. The proposed model achieves accuracy, precision, recall, and an F1-score of over 90%, which is higher than the considered benchmark models. Subsequently, we integrate the explainable artificial intelligence (XAI) approaches, namely, local interpretable model-agnostic explanations (LIME) and SHapely Additive exPlanation (SHAP) to explain the decision-making process behind the proposed model’s prediction. Applying these XAI techniques not only boosts the proposed model’s transparency but also reinforces its reliability in accurately processing and explaining textual data.

社交媒体平台,如X(以前的Twitter),为用户提供了简洁但有影响力的工具来表达他们的观点和感受。用户在各种各样的话题上用标签和表情符号表达自己的观点和感受。大量的文本数据为分析公众情绪和情绪提供了丰富的来源。最近已经提出了许多机器学习和深度学习方法来优化这些推文的情感检测和情感分析。鉴于人类语言处理的复杂性,自然语言处理(NLP)技术在其决策过程中面临着可解释性的挑战。为了弥补这一差距,我们引入了一个可解释的基于nlp的框架,用于识别文本数据中的人类情感。我们提出了一种新的循环神经网络架构,其中包含双向长短期记忆层,用于英语推文的情绪预测和情绪分析。所提出的模型的性能是用实际X数据对基准技术进行评估的。该模型的准确率、精密度、召回率和f1得分均超过90%,高于考虑的基准模型。随后,我们整合了可解释人工智能(XAI)方法,即局部可解释模型不可知论解释(LIME)和SHapely加性解释(SHAP)来解释所提出模型预测背后的决策过程。应用这些XAI技术不仅提高了模型的透明度,而且增强了模型在准确处理和解释文本数据方面的可靠性。
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引用次数: 0
Feature Ranking and Topology of the Foreign Exchange Market 外汇市场的特征排序与拓扑结构
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-07 DOI: 10.1155/cplx/6047572
Mahmudul Islam Rakib, Didarul Islam Didar, Ashadun Nobi

This study employs the feature ranking network method to investigate the foreign exchange (FX) market to uncover the underlying structural transition by observing the dependencies and stability of currencies. For this purpose, the FX market’s time series of 50 currencies is examined from January 2020 to October 2023 against the US dollar, covering the COVID-19 pandemic and the Russia–Ukraine war. Using the random forest regressor, the feature ranking matrix is determined by utilizing the returns of currencies on a given day to predict the feature ranks for the following day. The dependency network is constructed using the threshold method, revealing that the topological properties of the networks undergo significant changes, especially during the war. Asian currencies grab the central positions of the dependency network, indicating their high reliance. We select four representative currencies to provide a clearer and more focused analysis of currency dependency, stability, and entropic trends. It is observed that the war triggers instability in currencies and increases the developing countries’ currency dependence. The global entropy increases with minor fluctuations during the war, and a sharp decline in entropy was observed at the beginning of 2023, indicating an extremely high dependence of the currencies of Russia (RUB), the Philippines (PHP), and Bangladesh (BDT) on others. For comparative analysis, we discuss the topological properties of the EUR-based network alongside those of the USD-referred market. The proposed dependency network–based analytical framework provides valuable and sustainable insights for observing currency resilience and contagion in pandemic and geopolitical events.

本研究采用特征排序网络方法对外汇市场进行调查,通过观察货币的依赖性和稳定性来揭示潜在的结构性转变。为此,我们研究了2020年1月至2023年10月外汇市场50种货币兑美元的时间序列,涵盖了COVID-19大流行和俄罗斯-乌克兰战争。使用随机森林回归器,通过利用给定一天的货币收益来预测第二天的特征排名来确定特征排名矩阵。使用阈值法构建了依赖网络,揭示了网络的拓扑性质发生了显著变化,特别是在战争期间。亚洲货币占据了依赖网络的中心位置,表明它们的高度依赖。我们选择了四种具有代表性的货币,以提供更清晰、更集中的货币依赖、稳定性和熵趋势分析。可以看出,战争引发了货币的不稳定,增加了发展中国家对货币的依赖。全球熵在战争期间略有波动,熵在2023年初急剧下降,表明俄罗斯(RUB)、菲律宾(PHP)和孟加拉国(BDT)的货币对其他货币的依赖程度极高。为了进行比较分析,我们讨论了基于欧元的网络和基于美元的市场的拓扑特性。拟议的基于依赖网络的分析框架为观察大流行病和地缘政治事件中的货币弹性和传染性提供了宝贵和可持续的见解。
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引用次数: 0
A Language and Its Holes: The First-Order Homology of the Large-Scale Geometrical Structure of a Natural Language 语言及其空洞:自然语言大尺度几何结构的一阶同调
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-05 DOI: 10.1155/cplx/9659172
Vasilii A. Gromov, Quynh Nhu Dang, Asel S. Erbolova

The present paper employs topological data analysis methods to reveal ‘holes’ (stable persistent homologies) in the semantic spaces of words, bigrams, and trigrams of the English and Russian languages, and to ascertain their boundaries. Furthermore, the paper selects those holes that belong to the large-scale (coarse-grained) structure of the language that are not just local inhomogeneities of the sample—it appears that there are around a dozen of them for each of the languages (English and Russian). These boundaries delineate ‘blind spots’ of the respective language—the regions of the semantic spaces that do not contain words/bigrams/trigrams of the language—that is, regions of concepts that the language cannot see through its lens. The secondary goal of the paper is to solve the bot-detection problem in its strong statement, that is, one trains the classifiers on one set of bots and tests on the another set of bots. To this end, we estimate the average distances from words, bigrams, and trigrams of a text to the boundaries of the nearest ‘hole’, for texts both written by humans and generated by bots, and construct classifiers. The classifiers show comparatively good results: the average accuracy amounts to 0.8.

本文采用拓扑数据分析方法揭示了英、俄两种语言的词、双、三元语义空间中的“洞”(稳定的持久同源),并确定了它们的边界。此外,论文选择了那些属于语言的大尺度(粗粒度)结构的空洞,而不仅仅是样本的局部非同质性——似乎每种语言(英语和俄语)都有大约十几个这样的空洞。这些边界划定了各自语言的“盲点”——语义空间中不包含语言的单词/双字母/三字母的区域——也就是说,语言无法通过镜头看到的概念区域。本文的第二个目标是在强声明中解决机器人检测问题,即在一组机器人上训练分类器,在另一组机器人上进行测试。为此,我们估计了文本的单词、双字母和三字母到最近的“洞”边界的平均距离,包括人类编写的文本和机器人生成的文本,并构建了分类器。分类器的分类效果较好,平均准确率为0.8。
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引用次数: 0
Analysis of Medical Staff Turnover Behavior Under Supply–Demand Relationship Based on Psychological Contract Governance: An Evolutionary Game Theory Approach 基于心理契约治理的供求关系下医务人员离职行为分析:演化博弈论方法
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-31 DOI: 10.1155/cplx/8176581
Zhihui Lu, Zijing Huang, Huzi Xu, Ying Wang

This study focuses on overcoming critical human resource challenges within the healthcare sector and exploring the formulation and implementation of measures to reduce the turnover rate of the medical staff. The concept of psychological contract governance posits that hospitals should prioritize fostering positive interpersonal relationships, providing robust social support, and cultivating a supportive work environment. This approach addresses the psychological and spiritual needs of the medical staff beyond mere material incentives, thereby ultimately enhancing workforce stability. Current research on psychological contract among the medical staff remains limited, predominantly focusing on identifying antecedents of turnover behavior and applying intervention strategies from a psychological contract standpoint. Grounding our analysis in the core dimensions of psychological contract, this study employs evolutionary game theory to model the strategic interactions between hospitals that implement psychological contract governance and the turnover decisions of the medical staff, under varying labor market supply and demand conditions. Our analysis elucidates the specific contexts and mechanisms by which psychological contract governance influences turnover decisions. Furthermore, we utilize system simulation to explore key parameters affecting the evolutionary outcomes for both parties involved and propose strategies to improve the retention of the medical staff. It is recommended that psychological contract governance strategies be tailored to current labor market conditions, with particular emphasis on the dynamics of supply and demand. Implementing a systematic incentive framework is advantageous, as it effectively addresses the multifaceted needs of the medical staff, encompassing both material and psychological motivators. In addition, strengthening negative organizational constraints, while maintaining a positive psychological contract governance framework, is essential for optimizing overall outcomes. This research aims to provide valuable insights for human resource management within medical institutions and to offer a theoretical foundation for talent management decisions made by hospital administrators and relevant healthcare regulatory bodies.

本研究的重点是克服医疗保健部门的关键人力资源挑战,并探索制定和实施措施,以减少医务人员的流失率。心理契约治理的概念认为,医院应优先培养积极的人际关系,提供强大的社会支持,并培养一个支持性的工作环境。这种方法解决了医务人员的心理和精神需求,而不仅仅是物质激励,从而最终提高了劳动力的稳定性。目前对医务人员心理契约的研究还很有限,主要集中在从心理契约的角度识别离职行为的前因和应用干预策略。本研究以心理契约的核心维度为分析基础,运用演化博弈论来模拟在不同劳动力市场供求条件下,实施心理契约治理的医院与医务人员离职决策之间的战略互动。我们的分析阐明了心理契约治理影响离职决策的具体背景和机制。此外,我们利用系统模拟来探讨影响双方演化结果的关键参数,并提出提高医护人员保留率的策略。建议心理契约治理策略应适应当前的劳动力市场状况,特别强调供求动态。实施系统的激励框架是有利的,因为它有效地解决了医务人员多方面的需求,包括物质和心理激励。此外,加强消极的组织约束,同时保持积极的心理契约治理框架,对于优化总体结果至关重要。本研究旨在为医疗机构人力资源管理提供有价值的见解,并为医院管理者和相关医疗监管机构的人才管理决策提供理论依据。
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引用次数: 0
The Partial Migration Evolution in a Time-Periodic Environment 时间周期环境下的部分迁移演化
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-21 DOI: 10.1155/cplx/6757244
Ram Singh, Anushaya Mohapatra

This work focuses on the phenomenon of partial migration in time-periodic environments. Time periodicity refers to cyclic variations in environmental conditions, such as seasonal changes, significantly influencing an organism’s habitat and resources. Partial migration, observed in numerous species, including birds, fish, and mammals, involves a fraction of the population undertaking migratory movements while others remain sedentary. We have developed a mathematical framework for understanding evolutionarily stable strategies (ESSs) and ideal free distributions (IFDs) in environments that change periodically over time. By focusing on a range of periodic Beverton–Holt functions, we have established a criterion involving environmental functions that is both necessary and sufficient to determine the existence of ESSs and IFDs. This criterion assesses environmental variations across both spatial and temporal dimensions throughout a periodic cycle, thereby broadening the application of IFDs to encompass general time-periodic contexts. These strategies are evolutionarily stable and act as neighborhood invaders within the framework of evolutionary game theory. Our results build upon previous work that primarily considered temporally constant environments. Using a stage-structured time periodic matrix model, we show the existence and stability of the k-cycle. In this study, we demonstrated the existence of ESS and IFD through a series of numerical examples, which supports the theoretical findings.

本文主要研究时间周期环境中的部分迁移现象。时间周期性是指环境条件的周期性变化,如季节变化,显著影响生物的栖息地和资源。在包括鸟类、鱼类和哺乳动物在内的许多物种中都观察到部分迁移,即一小部分种群进行迁徙,而其他种群则保持定居。我们已经开发了一个数学框架来理解随时间周期性变化的环境中的进化稳定策略(ESSs)和理想自由分布(ifd)。通过关注周期贝弗顿-霍尔特函数的范围,我们建立了一个涉及环境函数的判据,该判据对于确定ess和ifd的存在是必要和充分的。该标准评估了整个周期内空间和时间维度上的环境变化,从而扩大了ifd的应用范围,以涵盖一般的时间周期背景。这些策略是进化稳定的,在进化博弈论的框架内充当邻居入侵者。我们的结果建立在先前主要考虑时间恒定环境的工作的基础上。利用阶段结构的时间周期矩阵模型,证明了k周期的存在性和稳定性。在本研究中,我们通过一系列数值例子证明了ESS和IFD的存在,支持了理论研究结果。
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引用次数: 0
Utilizing Strategies of Masks and Retroactive Treatment for Epidemic Disease Control on Behavioral Dynamics 基于行为动力学的口罩与追溯治疗在传染病控制中的应用策略
IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-17 DOI: 10.1155/cplx/8827010
Md. Saddam Hossain, K. M. Ariful Kabir

Without a vaccination solution, implementing intermediary defense measures such as mask wearing becomes imperative to curtail disease transmission, hinging on individuals’ choices to wear masks. Conversely, postinfection treatment serves as a last-resort avenue for disease reduction. This model proposes an innovative epidemic modeling approach to address these dual aspects, integrating mask-wearing behavior and treatment decisions as strategic choices grounded in game theory principles. The primary objective of this model is to delve into the intricate interplay between individual behaviors and their implications for disease propagation, particularly in the absence of vaccination. By factoring in rational decisions made by agents within a dynamic epidemic context, the model seeks to unravel the intricate connections between adopting masks and seeking treatments and their subsequent impact on disease control. By incorporating mask adoption and treatment seeking as dynamic variables, this model sheds light on the efficacy of preventive measures and treatment protocols in managing epidemic outbreaks. The model investigates the transition rates from susceptibility to mask adoption and infection to treatment seeking through a comprehensive evolutionary game theory lens. The inherent strategies related to mask wearing and treatment are depicted using an extensive evolutionary game theory framework among societal individuals, presented through an illustrative phase diagram. In-depth numerical simulations indicate that the efficacy of masks and treatment could implicitly reduce community infection risks, particularly when these solutions are reliable and cost-effective. This entails exploring how the evolution and coexistence of mask wearing and treatment strategies interact, using metrics such as the social dilemma’s impact and the count of individuals benefiting from these approaches.

如果没有疫苗接种解决方案,实施戴口罩等中间防御措施对于减少疾病传播就变得势在必行,这取决于个人是否选择戴口罩。相反,感染后治疗是减少疾病的最后手段。该模型提出了一种创新的流行病建模方法来解决这两个方面,将佩戴口罩的行为和治疗决策作为基于博弈论原则的战略选择整合在一起。该模型的主要目标是深入研究个体行为及其对疾病传播的影响之间复杂的相互作用,特别是在没有接种疫苗的情况下。通过在动态的流行病背景下考虑代理人做出的理性决策,该模型试图揭示戴口罩和寻求治疗之间的复杂联系,以及它们对疾病控制的后续影响。通过将口罩的采用和寻求治疗作为动态变量,该模型揭示了预防措施和治疗方案在管理流行病暴发中的功效。该模型通过一个全面的进化博弈论镜头来研究从易感性到口罩采用和感染到寻求治疗的转换率。与口罩佩戴和治疗相关的内在策略是通过一个说明性阶段图,在社会个体中使用广泛的进化博弈论框架来描述的。深入的数值模拟表明,口罩和治疗的有效性可以隐性地降低社区感染风险,特别是当这些解决方案可靠且具有成本效益时。这需要利用社会困境的影响和从这些方法中受益的个人数量等指标,探索口罩佩戴和治疗策略的演变和共存如何相互作用。
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引用次数: 0
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