Applied Mathematics and Computation最新文献_第7页

A macroscopic pedestrian model with variable maximal density 可变最大密度的宏观行人模型

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-20 DOI: 10.1016/j.amc.2025.129404

Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti

{"title":"A macroscopic pedestrian model with variable maximal density","authors":"Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti","doi":"10.1016/j.amc.2025.129404","DOIUrl":"10.1016/j.amc.2025.129404","url":null,"abstract":"<div><div>In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd – usually a fixed model parameter – is instead a state variable. To do that, the model couples a conservation law, devised as usual for tracking the evolution of the crowd density, with a Burgers-like PDE with a nonlocal term describing the evolution of the maximal density. The variable maximal density is used here to describe the effects of the psychological/physical pushing forces which are observed in crowds during competitive or emergency situations.</div><div>Specific attention is also dedicated to the fundamental diagram, i.e., the function which expresses the relationship between crowd density and flux. Although the model needs a well defined fundamental diagram as known input parameter, it is not evident <em>a priori</em> which relationship between density and flux will be actually observed, due to the time-varying maximal density. An <em>a posteriori</em> analysis shows that the observed fundamental diagram has an elongated “tail” in the congested region, thus resulting similar to the concave/concave fundamental diagram with a “double hump” observed in real crowds.</div><div>The main features of the model are investigated through 1D and 2D numerical simulations. The numerical code for the 1D simulation is freely available <span><span>on this Gitlab repository</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129404"},"PeriodicalIF":3.5,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Variable-coefficient BDF methods with fully-geometric grid for linear nonhomogeneous neutral pantograph equations 线性非齐次中性受电弓方程的全几何网格变系数BDF方法

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-20 DOI: 10.1016/j.amc.2025.129412

Zhixiang Jin , Chengjian Zhang

引用次数: 0

Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network 多重高阶网络中个体相互作用时变效度对意识和流行病共同进化的影响

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-18 DOI: 10.1016/j.amc.2025.129396

Ming Li , Liang'an Huo

{"title":"Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network","authors":"Ming Li , Liang'an Huo","doi":"10.1016/j.amc.2025.129396","DOIUrl":"10.1016/j.amc.2025.129396","url":null,"abstract":"<div><div>Individual interactions play a crucial role in the co-evolution process of awareness and epidemics; these interactions involve pairwise and higher-order types. Previous research usually assumed that individual interactions are all valid and static, overlooking the fact that some interactions may be invalid and time-varying. Notably, diffusion phenomena cannot occur if interactions lose their validity. To address this gap, a novel coupled model is proposed to study the effect of time-varying interaction validity on the co-evolution of awareness and epidemics in a multiplex high-order network. Individual activity and life-cycle theory are employed to model the time-varying validity of interactions, which is further characterized using threshold functions. Simulation experiments reveal that increasing individual activity will increase the validity of interactions, which then leads to the prevalence of epidemics. In addition, maximizing epidemic control can be achieved by increasing activity in the virtual layer while reducing activity in the physical layer. Moreover, the results in more densely interacted communities suggest that more stringent control measures are required to bring the epidemic to extinction.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129396"},"PeriodicalIF":3.5,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642261","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

Proper conflict-free 6-coloring of planar graphs without short cycles 无短周期的平面图形的适当无冲突6着色

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-17 DOI: 10.1016/j.amc.2025.129405

Yunlong Wang, Weifan Wang, Runrun Liu

{"title":"Proper conflict-free 6-coloring of planar graphs without short cycles","authors":"Yunlong Wang, Weifan Wang, Runrun Liu","doi":"10.1016/j.amc.2025.129405","DOIUrl":"10.1016/j.amc.2025.129405","url":null,"abstract":"<div><div>A proper conflict-free <em>l</em>-coloring of a graph <em>G</em> is a proper <em>l</em>-coloring satisfying that for any non-isolated vertex <span><math><mi>v</mi><mo>∈</mo><mi>V</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span>, there exists a color appearing exactly once in <span><math><msub><mrow><mi>N</mi></mrow><mrow><mi>G</mi></mrow></msub><mo>(</mo><mi>v</mi><mo>)</mo></math></span>. The proper conflict-free chromatic number, denoted by <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mi>p</mi><mi>c</mi><mi>f</mi></mrow></msub><mo>(</mo><mi>G</mi><mo>)</mo></math></span>, is the minimal integer <em>l</em> so that <em>G</em> admits a proper conflict-free <em>l</em>-coloring. This notion was proposed by Fabrici et al. in 2022. They focus mainly on proper conflict-free coloring of outerplanar graphs and planar graphs. They constructed a planar graph that has no proper conflict-free 5-coloring and conjectured every planar graph <em>G</em> has <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mi>p</mi><mi>c</mi><mi>f</mi></mrow></msub><mo>(</mo><mi>G</mi><mo>)</mo><mo>≤</mo><mn>6</mn></math></span>. In this paper, we confirm this conjecture for planar graphs without cycles of lengths 3, 5 or 6.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129405"},"PeriodicalIF":3.5,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143632250","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

Exemplary cooperation strategy with positive influence enhances cooperation quality in social dilemma 具有正向影响的示范性合作策略提高了社会困境下的合作质量

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-15 DOI: 10.1016/j.amc.2025.129397

Xue Fan , Lidong Wang , Xuesong Liu , Anhao Zheng

{"title":"Exemplary cooperation strategy with positive influence enhances cooperation quality in social dilemma","authors":"Xue Fan , Lidong Wang , Xuesong Liu , Anhao Zheng","doi":"10.1016/j.amc.2025.129397","DOIUrl":"10.1016/j.amc.2025.129397","url":null,"abstract":"<div><div>An exemplary cooperation strategy with completely altruistic behavior is studied in this paper. This strategy not only exhibits altruism comparable to that of ordinary cooperators, but also exerts a power of good example through its unconditional cost, and influences the defector to give unforced-feedback. The findings indicate that even in the face of high temptation, exemplary cooperation strategies can also effectively prevent the total expansion of defection strategies and coexist with them. When the three strategies coexist, higher temptation does not promote defection but rather enhances the quality of cooperation to some extent. Moreover, the increase in unforced-feedback from defectors leads to a rise in the proportion of ordinary cooperation. Notably, the exemplary cooperation strategy can maintain a certain level in the population even in an unfavorable environment for cooperation, thus preventing the population from a state of full defectors. In general, the introduction of exemplary cooperation strategies fosters the development of cooperation to a certain extent. It offers a fresh perspective for understanding the emergence and sustenance of cooperative behavior.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129397"},"PeriodicalIF":3.5,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143628095","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

Isospectral reductions of non-negative matrices 非负矩阵的等谱还原

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-14 DOI: 10.1016/j.amc.2025.129402

Alexandre Baraviera , Pedro Duarte , Longmei Shu , Maria Joana Torres

引用次数: 0

First optimal vectorial eighth-order iterative scheme for solving non-linear systems 求解非线性系统的第一个最优矢量八阶迭代格式

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-12 DOI: 10.1016/j.amc.2025.129401

Alicia Cordero, Juan R. Torregrosa, Paula Triguero-Navarro

引用次数: 0

Cubic s-arc-transitive bi-Cayley graphs 三次s弧传递双凯莱图

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129400

Ran Ju , Jing Jian Li , Yang Gao

引用次数: 0

Hybridizable discontinuous Galerkin method for nonlinear hyperbolic integro-differential equations 非线性双曲型积分-微分方程的可杂化不连续Galerkin方法

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129393

Riya Jain , Sangita Yadav

引用次数: 0

Unconditionally stable sixth-order structure-preserving scheme for the nonlinear Schrödinger equation with wave operator 带波动算子的非线性Schrödinger方程的无条件稳定六阶保结构格式

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129392

Shuaikang Wang , Yongbin Ge , Sheng-en Liu

{"title":"Unconditionally stable sixth-order structure-preserving scheme for the nonlinear Schrödinger equation with wave operator","authors":"Shuaikang Wang , Yongbin Ge , Sheng-en Liu","doi":"10.1016/j.amc.2025.129392","DOIUrl":"10.1016/j.amc.2025.129392","url":null,"abstract":"<div><div>A structure-preserving two-level numerical method with sixth-order in both time and space is proposed for solving the nonlinear Schrödinger equation with wave operator. By introducing auxiliary variables to transform the original equation into a system, structure-preserving high-order difference scheme is obtained by applying the Crank-Nicolson method and the sixth-order difference operators for discretizing time and space derivatives. Subsequently, the conservation laws of energy and mass for the discretized solution produced by the established scheme are rigorously proven. And a theoretical analysis shows that the scheme is unconditionally convergent and stable in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm. Additionally, a corresponding fast solving algorithm is designed for the established scheme. And the Richardson extrapolation technique is used to enhance the temporal accuracy to sixth order. Finally, the effectiveness of the numerical scheme and the theoretical results of this study are validated through numerical experiments. The results also fully demonstrate the efficiency of the novel scheme in numerical computations.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129392"},"PeriodicalIF":3.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593618","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