Applied Mathematics and Computation最新文献_第2页

Group size dynamics for a group following game with shared rewards 分享奖励的群体规模动态

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129470

Thomas A. Wettergren

引用次数: 0

The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game 空间囚徒困境博弈中声誉水平和差异对合作演化的影响

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129473

Yan Bi , Qingyi Hao , Kui Liu

{"title":"The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game","authors":"Yan Bi , Qingyi Hao , Kui Liu","doi":"10.1016/j.amc.2025.129473","DOIUrl":"10.1016/j.amc.2025.129473","url":null,"abstract":"<div><div>Benefiting from the development of information science and technology, more and more scholars use various complex networks as evolutionary carriers to research evolutionary game theory, which leads to the gradual unraveling of many evolutionary mechanisms. The reputation mechanism is particularly interesting and important among many mechanisms. Therefore, it has received widespread attention and research from related researchers, which is also mainly attributed to the important effect of reputation in promoting cooperation of evolution system. However, until now, the role of reputation mechanism in facilitating the evolution of cooperation has not been completely accurately revealed. In reality, the mechanism of mutual imitation of behaviors between interactive individuals based on reputation factors is still an interesting and unsolved problem. In this work, a novel evolutionary mechanism is proposed based on reputation levels and disparities, in which the evolutionary strategy of imitator is influenced by the reputation disparities of the imitated and the imitator. Moreover, based on the proposed evolutionary mechanism, this paper also explores the influence of reputation levels on the evolution of cooperation. Monte Carlo simulations verify that the proposed evolutionary mechanism is easier to promote cooperation of evolution system, especially when the reputation weight factor is larger, or the number of reputation levels is fewer, compared with the traditional PDG model. The study also indirectly reveals that streamlining the institutions is easy to promote social harmony and development.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129473"},"PeriodicalIF":3.5,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843133","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

Optimal tracking and regulation performance of networked control systems with additive colored Gaussian noise and finite bandwidth 有限带宽下加性有色高斯噪声网络控制系统的最优跟踪与调节性能

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-18 DOI: 10.1016/j.amc.2025.129469

Bin Zhang , Da-Wei Ding

引用次数: 0

An improved RBF-WENO scheme for hyperbolic conservation laws 双曲守恒律的改进RBF-WENO格式

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-17 DOI: 10.1016/j.amc.2025.129472

Yang Sun, Ai-Qi Han

{"title":"An improved RBF-WENO scheme for hyperbolic conservation laws","authors":"Yang Sun, Ai-Qi Han","doi":"10.1016/j.amc.2025.129472","DOIUrl":"10.1016/j.amc.2025.129472","url":null,"abstract":"<div><div>In this paper, a novel fifth-order weighted essentially non-oscillatory (WENO) scheme by using radial basis function (RBF) is proposed to solve hyperbolic conservation laws. The key idea is to choose multi-quadric (MQ) RBF and trigonometric function to construct numerical flux and smoothness indicator respectively. First, we modify the RBF interpolation making it into the WENO reconstruction framework along with representing it by a perturbation of polynomial. The explicit form of disturbance term on each stencil is given. Through selecting the appropriate shape parameters of MQ RBF, the relevant WENO scheme achieves sixth-order accuracy than other well-known fifth-order WENO schemes under some conditions. Moreover, some differential operators based on trigonometric function space are employed to obtain new smoothness indicators that efficiently evaluates the sharp change of gradient on the candidate stencil. To highlight the effectiveness of the proposed WENO scheme, this new scheme is applied to several one and two-dimensional hyperbolic test problems, and compared with the existing schemes such as WENO-JS, WENO-M and WENO-Z. The numerical results show higher accuracy can be achieved in the smooth regions of the solutions, and no non-physical oscillations occur near the discontinuities, which verifies the higher resolution property and the better discontinuity-capturing ability of the improved scheme.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129472"},"PeriodicalIF":3.5,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843240","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

Long time H1-norm stability and suboptimal convergence of a fully discrete L2-version compact difference method on nonuniform mesh grids to solve fourth-order subdiffusion equations 在非均匀网格上采用完全离散的 L2-version 紧凑差分法求解四阶次扩散方程的长时间 H1 准则稳定性和次优收敛性

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-16 DOI: 10.1016/j.amc.2025.129465

Huifa Jiang , Emran Tohidi

{"title":"Long time H1-norm stability and suboptimal convergence of a fully discrete L2-version compact difference method on nonuniform mesh grids to solve fourth-order subdiffusion equations","authors":"Huifa Jiang , Emran Tohidi","doi":"10.1016/j.amc.2025.129465","DOIUrl":"10.1016/j.amc.2025.129465","url":null,"abstract":"<div><div>This study introduces a designed <em>L</em>2 compact approach for the fourth-order subdiffusion models on general nonuniform meshes. Initially, we establish long-time <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-stability and estimation of the error for the <em>L</em>2 compact approach under general nonuniform meshes, imposing only mild conditions on the time step ratio <span><math><msub><mrow><mi>ρ</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span>. This is achieved by leveraging the positive semidefiniteness of an essential bilinear form linked to the operator of <em>L</em>2 fractional derivative discussed by Quan and Wu (2023) <span><span>[26]</span></span>. Subsequently, we proceed to discretize the spatial differentiation using the compact difference approach, resulting in a fully discrete scheme that achieves the convergence of fourth-order for the space variable. Additionally, we demonstrate that the rate of convergence in the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-norm is the half of <span><math><mo>(</mo><mn>5</mn><mo>−</mo><mi>α</mi><mo>)</mo></math></span> for the improved graded mesh grids. Lastly, we conduct some numerical experiments to validate the robustness and competitiveness of our suggested approach.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129465"},"PeriodicalIF":3.5,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143832562","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

A mathematical model of exploitative and interference competitions in stage-structured populations 阶段结构种群中剥削性和干扰性竞争的数学模型

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-13 DOI: 10.1016/j.amc.2025.129466

Kien Trung Phan, Anh Duc Nguyen, Thuy Phuong Nguyen

{"title":"A mathematical model of exploitative and interference competitions in stage-structured populations","authors":"Kien Trung Phan, Anh Duc Nguyen, Thuy Phuong Nguyen","doi":"10.1016/j.amc.2025.129466","DOIUrl":"10.1016/j.amc.2025.129466","url":null,"abstract":"<div><div>In population ecology, competition interactions between species are pivotal in shaping species growth and ecosystem stability. A prominent example is the phenomenon where one species preys on the offspring of another. This paper introduces and analyzes a novel stage-structured competition model to explore this ecological dynamic. Focusing on juvenile and adult life stages, we integrate two competition forms: exploitative (through shared resource limitation) and interference (where adults consume rival juveniles). While exploitative and interference competition are well-studied individually, their interplay in stage-structured populations remains underexplored. Our analysis reveals critical thresholds for resource abundance that determine whether species coexist, one dominates, or both perish. Remarkably, when one species inherently excels at resource exploitation, it dominates regardless of the interference rate on its rival's juveniles. Furthermore, increasing resource productivity can induce Hopf bifurcations, leading to cyclic population dynamics—a finding with implications for managing ecosystems under environmental change. Numerical simulations are given to illustrate and validate our theoretical findings. These results advance our understanding of how life-stage-specific interactions mediate coexistence and resilience in ecological communities.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129466"},"PeriodicalIF":3.5,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823604","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

Corrigendum to “Szeged and Mostar root-indices of graphs” “图的seeged和Mostar根指数”的勘误表

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-12 DOI: 10.1016/j.amc.2025.129444

Simon Brezovnik , Matthias Dehmer , Niko Tratnik , Petra Žigert Pleteršek

引用次数: 0

Sampled-data-based stability and stabilization of Lurie systems 基于采样数据的Lurie系统稳定性与镇定

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-11 DOI: 10.1016/j.amc.2025.129455

Wei Wang, Jin-Ming Liang, Hong-Bing Zeng

引用次数: 0

Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel 具有奇异阿贝尔核的偏积分-微分方程的虚元逼近和BDF2时间离散格式

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-09 DOI: 10.1016/j.amc.2025.129451

Mostafa Abbaszadeh , Mahmoud A. Zaky , Mehdi Dehghan

引用次数: 0

Event-based privacy-consensus control for multiagent systems: An enhanced framework for fault-tolerance and protection against eavesdropping 多代理系统中基于事件的隐私一致控制：一种增强的容错和防窃听保护框架

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-04-09 DOI: 10.1016/j.amc.2025.129446

Xiaoyan Hu , Dan Ye

{"title":"Event-based privacy-consensus control for multiagent systems: An enhanced framework for fault-tolerance and protection against eavesdropping","authors":"Xiaoyan Hu , Dan Ye","doi":"10.1016/j.amc.2025.129446","DOIUrl":"10.1016/j.amc.2025.129446","url":null,"abstract":"<div><div>This paper investigates the consensus problem of privacy protection for multi-agent systems (MASs) under conditions of compound faults. We develop a fault-tolerant observer that utilizes intermediate variables to estimate both the system state and compound faults, specifically addressing sensor and actuator faults in the physical layer of the system. To safeguard the privacy of communication data at the network layer, a dual protection encoding and decoding strategy is proposed. Furthermore, an intermittent event-triggered mechanism (ETM) is introduced to mitigate the computational and communication burdens imposed by the encoding algorithms. Discrete-time combination measurement values are employed to enhance the generalizability of the ETM. Within the framework of encryption and decryption, fault-tolerant consensus control algorithm is designed to counter two types of eavesdroppers, thereby achieving privacy consensus for MASs while addressing challenges associated with physical layer faults. In the end, a simulation of an island microgrid (MG) with five distributed generators (DGs) is developed to confirm the efficacy of the suggested approach.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129446"},"PeriodicalIF":3.5,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800585","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