Computational and Mathematical Methods最新文献_第6页

Mikhlin’s Integral Equation and the Integral Equation with the Generalized Neumann Kernel on Simply Connected Domains 单连通域上的Mikhlin积分方程和广义Neumann核积分方程

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Computational and Mathematical Methods Pub Date : 2022-04-20 DOI: 10.1155/2022/6488709

Samir Naqos, Ali H. M. Murid, Mohamed M. S. Nasser

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Spanish Airport Network Structure: Topological Characterization 西班牙机场网络结构：拓扑表征

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Computational and Mathematical Methods Pub Date : 2022-04-09 DOI: 10.1155/2022/4952613

M. T. Trobajo, M. V. Carriegos

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The Classification of the Exact Single Travelling Wave Solutions to the Constant Coefficient KP-mKP Equation Employing Complete Discrimination System for Polynomial Method 用多项式法完全判别系统分类常系数KP-mKP方程的精确单行波解

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Computational and Mathematical Methods Pub Date : 2022-03-25 DOI: 10.1155/2022/3844031

Tanay Sarkar, Santanu Raut, Prakash Chandra Mali

{"title":"The Classification of the Exact Single Travelling Wave Solutions to the Constant Coefficient KP-mKP Equation Employing Complete Discrimination System for Polynomial Method","authors":"Tanay Sarkar, Santanu Raut, Prakash Chandra Mali","doi":"10.1155/2022/3844031","DOIUrl":"10.1155/2022/3844031","url":null,"abstract":"<div>\u0000 <p>The purpose of this article is to explore different types of solutions for the Kadomtsev-Petviashvili-modified Kadomtsev-Petviashvili (KP-mKP) equation which is termed as KP-Gardner equation, extensively used to model strong nonlinear internal waves in (1 + 2)-dimensions on the stratified ocean shelf. This evolution equation is also used to describe weakly nonlinear shallow-water wave and dispersive interracial waves traveling in a mildly rotating channel with slowly varying topography. Introducing Liu’s approach regarding the complete discrimination system for polynomial and the trial equation technique, a set of new solutions to the KP-mKP equation containing Jacobi elliptic function have been derived. It is found that these analytical solutions numerically exhibit different nonlinear structures such as solitary waves, shock waves, and periodic wave profiles. The reliability and effectiveness are confirmed from the numerical graphs of the solutions. Finally, the existence and validity of the various topological structures of the solutions are confirmed from the phase portrait of the dynamical system. Based on this investigation, it is confirmed that the method is not only suited for obtaining the classification of the solutions but also for qualitative analysis, which means that it can also be extended to other fields of application.</p>\u0000 </div>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2022 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2022/3844031","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79896462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Modeling Dengue Immune Responses Mediated by Antibodies: Insights on the Biological Parameters to Describe Dengue Infections 模拟由抗体介导的登革热免疫反应：对描述登革热感染的生物学参数的见解

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Computational and Mathematical Methods Pub Date : 2022-03-18 DOI: 10.1155/2022/8283239

Vizda Anam, Afrina Andriani Sebayang, Hilda Fahlena, Damian Knopoff, Nico Stollenwerk, Edy Soewono, Maíra Aguiar

{"title":"Modeling Dengue Immune Responses Mediated by Antibodies: Insights on the Biological Parameters to Describe Dengue Infections","authors":"Vizda Anam, Afrina Andriani Sebayang, Hilda Fahlena, Damian Knopoff, Nico Stollenwerk, Edy Soewono, Maíra Aguiar","doi":"10.1155/2022/8283239","DOIUrl":"10.1155/2022/8283239","url":null,"abstract":"<div>\u0000 <p>Dengue fever is a viral mosquito-borne disease, a significant global health concern, with more than one third of the world population at risk of acquiring the disease. Caused by 4 antigenically distinct but related virus serotypes, named DENV-1, DENV-2, DENV-3, and DENV-4, infection by one serotype confers lifelong immunity to that serotype and a short period of temporary cross immunity to other related serotypes. Severe dengue is epidemiologically associated with a secondary infection caused by a heterologous serotype via the so-called antibody-dependent enhancement (ADE), an immunological process enhancing a new infection. Within-host dengue modeling is restricted to a small number of studies so far. With many open questions, the understanding of immunopathogenesis of severe disease during recurrent infections is important to evaluate the impact of newly licensed vaccines. In this paper, we revisit the modeling framework proposed by Sebayang et al. and perform a detailed sensitivity analysis of the well-known biological parameters and its possible combinations to understand the existing data sets. Using numerical simulations, we investigate features of viral replication, antibody production, and infection clearance over time for three possible scenarios: primary infection, secondary infection caused by homologous serotype, and secondary infection caused by heterologous serotype. Besides, describing well the infection dynamics as reported in the immunology literature, our results provide information on parameter combinations to best describe the differences on the immunological dynamics of secondary infections with homologous and heterologous viruses. The results presented here will be used as baseline to investigate a more complex within-host dengue model.</p>\u0000 </div>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2022 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2022/8283239","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80439559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Box-Cox Transformations and Bias Reduction in Extreme Value Theory 极值理论中的Box-Cox变换和偏差减少

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Computational and Mathematical Methods Pub Date : 2022-03-10 DOI: 10.1155/2022/3854763

Lígia Henriques-Rodrigues, M. Ivette Gomes

{"title":"Box-Cox Transformations and Bias Reduction in Extreme Value Theory","authors":"Lígia Henriques-Rodrigues, M. Ivette Gomes","doi":"10.1155/2022/3854763","DOIUrl":"10.1155/2022/3854763","url":null,"abstract":"<div>\u0000 <p>The Box-Cox transformations are used to make the data more suitable for statistical analysis. We know from the literature that this transformation of the data can increase the rate of convergence of the tail of the distribution to the generalized extreme value distribution, and as a byproduct, the bias of the estimation procedure is reduced. The reduction of bias of the Hill estimator has been widely addressed in the literature of extreme value theory. Several techniques have been used to achieve such reduction of bias, either by removing the main component of the bias of the Hill estimator of the extreme value index (EVI) or by constructing new estimators based on generalized means or norms that generalize the Hill estimator. We are going to study the Box-Cox Hill estimator introduced by Teugels and Vanroelen, in 2004, proving the consistency and asymptotic normality of the estimator and addressing the choice and estimation of the power and shift parameters of the Box-Cox transformation for the EVI estimation. The performance of the estimators under study will be illustrated for finite samples through small-scale Monte Carlo simulation studies.</p>\u0000 </div>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2022 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2022/3854763","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76325998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Seasonally Forced SIR Systems Applied to Respiratory Infectious Diseases, Bifurcations, and Chaos 季节性强迫SIR系统应用于呼吸道传染病、分岔和混沌

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Computational and Mathematical Methods Pub Date : 2022-03-03 DOI: 10.1155/2022/3556043

Nico Stollenwerk, Stefano Spaziani, Javier Mar, Irati Eguiguren Arrizabalaga, Damián Knopoff, Nicole Cusimano, Vizda Anam, Akhil Shrivastava, Maíra Aguiar

{"title":"Seasonally Forced SIR Systems Applied to Respiratory Infectious Diseases, Bifurcations, and Chaos","authors":"Nico Stollenwerk, Stefano Spaziani, Javier Mar, Irati Eguiguren Arrizabalaga, Damián Knopoff, Nicole Cusimano, Vizda Anam, Akhil Shrivastava, Maíra Aguiar","doi":"10.1155/2022/3556043","DOIUrl":"10.1155/2022/3556043","url":null,"abstract":"<div>\u0000 <p><i>Summary</i>. We investigate models to describe respiratory diseases with fast mutating virus pathogens such that after some years the aquired resistance is lost and hosts can be infected with new variants of the pathogen. Such models were initially suggested for respiartory diseases like influenza, showing complex dynamics in reasonable parameter regions when comparing to historic empirical influenza like illness data, e.g., from Ille de France. The seasonal forcing typical for respiratory diseases gives rise to the different rich dynamical scenarios with even small parameter changes. Especially the seasonality of the infection leads for small values already to period doubling bifurcations into chaos, besides additional coexisting attractors. Such models could in the future also play a role in understanding the presently experienced COVID-19 pandemic, under emerging new variants and with only limited vaccine efficacies against newly upcoming variants. From first period doubling bifurcations, we can eventually infer at which close by parameter regions complex dynamics including deterministic chaos can arise.</p>\u0000 </div>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2022 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2022/3556043","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86745617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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The Rate of Convergence of the SOR Method in the Positive Semidefinite Case 正半定情况下SOR方法的收敛速度

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Computational and Mathematical Methods Pub Date : 2022-03-02 DOI: 10.1155/2022/6143444

Achiya Dax

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Effect of General Cross-Immunity Protection and Antibody-Dependent Enhancement in Dengue Dynamics 一般交叉免疫保护和抗体依赖性增强在登革热动力学中的作用

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Computational and Mathematical Methods Pub Date : 2022-02-13 DOI: 10.1155/2022/2074325

Vanessa Steindorf, Sergio Oliva, Jianhong Wu, Maíra Aguiar

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Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission 传染病传播的空间扩展share流行病学框架

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Computational and Mathematical Methods Pub Date : 2022-02-13 DOI: 10.1155/2022/3304532

Damián Knopoff, Nicole Cusimano, Nico Stollenwerk, Maíra Aguiar

{"title":"Spatially Extended SHAR Epidemiological Framework of Infectious Disease Transmission","authors":"Damián Knopoff, Nicole Cusimano, Nico Stollenwerk, Maíra Aguiar","doi":"10.1155/2022/3304532","DOIUrl":"10.1155/2022/3304532","url":null,"abstract":"<div>\u0000 <p>Mathematical models play an important role in epidemiology. The inclusion of a spatial component in epidemiological models is especially important to understand and address many relevant ecological and public health questions, e.g., when wanting to differentiate transmission patterns across geographical regions or when considering spatially heterogeneous intervention measures. However, the introduction of spatial effects can have significant consequences on the observed model dynamics and hence must be carefully analyzed and interpreted. Cellular automata epidemiological models typically rely on simplified computational grids but can provide valuable insight into the spatial dynamics of transmission within a population by suitably accounting for the connections between individuals in the considered community. In this paper, we describe a stochastic cellular automata disease model based on an extension of the traditional Susceptible-Infected-Recovered (SIR) compartmentalization of the population, namely, the Susceptible-Hospitalized-Asymptomatic-Recovered (SHAR) formulation, in which infected individuals either present a severe form of the disease, thus requiring hospitalization, or belong to the so-called mild/asymptomatic class. The critical transmission threshold is derived analytically in the nonspatial SHAR formulation, and this generalizes previously obtained theoretical results for the SIR model. We present simulation results discussing the effect of key model parameters and of spatial correlations on model outputs and propose an algorithm for tracking the evolution of infection clusters within the considered population. Focusing on the role of import and criticality on the overall dynamics, we conclude that the current spatial setting increases the critical transmission threshold in comparison to the nonspatial model.</p>\u0000 </div>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2022 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2022/3304532","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79784711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations 求解二维耦合Burgers方程的半拉格朗日有限体积法

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Computational and Mathematical Methods Pub Date : 2022-02-13 DOI: 10.1155/2022/8192192

Ilham Asmouh, Mofdi El-Amrani, Mohammed Seaid, Naji Yebari

{"title":"A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations","authors":"Ilham Asmouh, Mofdi El-Amrani, Mohammed Seaid, Naji Yebari","doi":"10.1155/2022/8192192","DOIUrl":"10.1155/2022/8192192","url":null,"abstract":"<div>\u0000 <p>A cell-centered finite volume semi-Lagrangian method is presented for the numerical solution of two-dimensional coupled Burgers’ problems on unstructured triangular meshes. The method combines a modified method of characteristics for the time integration and a cell-centered finite volume for the space discretization. The new method belongs to fractional-step algorithms for which the convection and the viscous parts in the coupled Burgers’ problems are treated separately. The crucial step of interpolation in the convection step is performed using two local procedures accounting for the element where the departure point is located. The resulting semidiscretized system is then solved using a third-order explicit Runge-Kutta scheme. In contrast to the Eulerian-based methods, we apply the new method for each time step along the characteristic curves instead of the time direction. The performance of the current method is verified using different examples for coupled Burgers’ problems with known analytical solutions. We also apply the method for simulation of an example of coupled Burgers’ flows in a complex geometry. In these test problems, the new cell-centered finite volume semi-Lagrangian method demonstrates its ability to accurately resolve the two-dimensional coupled Burgers’ problems.</p>\u0000 </div>","PeriodicalId":100308,"journal":{"name":"Computational and Mathematical Methods","volume":"2022 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1155/2022/8192192","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84834098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0