Zeitschrift für angewandte Mathematik und Physik最新文献_第10页

Sequences of nodal solutions for critical double phase problems with variable exponents 具有可变指数的临界双相问题的节点解序列

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-26 DOI: 10.1007/s00033-024-02226-7

Nikolaos S. Papageorgiou, Francesca Vetro, Patrick Winkert

引用次数: 0

Theoretical examination of solitary waves for Sharma–Tasso–Olver Burger equation by stability and sensitivity analysis 通过稳定性和敏感性分析对 Sharma-Tasso-Olver Burger 方程的孤波进行理论检验

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-26 DOI: 10.1007/s00033-024-02225-8

Ejaz Hussain, Abdul Mutlib, Zhao Li, Adham E.Ragab, Syed Asif Ai Shah, Emad A. Az-Zo’bi, Nida Raees

{"title":"Theoretical examination of solitary waves for Sharma–Tasso–Olver Burger equation by stability and sensitivity analysis","authors":"Ejaz Hussain, Abdul Mutlib, Zhao Li, Adham E.Ragab, Syed Asif Ai Shah, Emad A. Az-Zo’bi, Nida Raees","doi":"10.1007/s00033-024-02225-8","DOIUrl":"https://doi.org/10.1007/s00033-024-02225-8","url":null,"abstract":"The Sharma–Tasso–Olver–Burgers (STOB) equation is a nonlinear partial differential equation that appears in many branches of science, engineering and describes significant phenomena including wave propagation and fluid dynamics. The STOB equation characteristics and solutions for the nonlinear situation are thoroughly examined in this research work. The analytical techniques, namely the extended ((frac{G'}{G^{2}}))-expansion method, stability analysis, and sensitivity analysis, are used to determine the solitons solution of STOB equation. The study begins with an overview of the equation, highlighting its significance in modeling. The nonlinear nature of the equation leads to interesting dynamics and challenges in its analysis and solution. The research paper focuses on understanding the behavior of solutions and identifying the solution with the help of graphical interpretation. Numerous of the identified solutions are depicted in figures to provide a physical comprehension. Because it is critical, we use appropriate values of parameters to highlight the physical aspects of the supplied data using 3D, 2D, and contour charts. The proposed techniques are valuable and contribute to the field of nonlinear sciences. Various nonlinear evolutionary equations are employed to represent models of nonlinear physical phenomena","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140799154","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

On equilibrium of a two-layer elastic structure with a crack in non-coercive case 关于非胁迫情况下带有裂缝的双层弹性结构的平衡问题

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-22 DOI: 10.1007/s00033-024-02237-4

Alexander Khludnev

引用次数: 0

Large global solutions to 3D Boussinesq equations slowly varying in one direction 单向缓慢变化的三维布森斯克方程的大全局解

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-22 DOI: 10.1007/s00033-024-02228-5

Xiaonan Hao, Zhen Li

引用次数: 0

On Choquard problems in $$mathbb {R}^N$$ influenced by the negative part of the spectrum 论受负谱部分影响的 $$mathbb {R}^N$$ 中的 Choquard 问题

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-22 DOI: 10.1007/s00033-024-02233-8

E. L. de Moura, O. H. Miyagaki, S. I. Moreira, J. C. Oliveira Junior

引用次数: 0

Global dynamics for a two-species chemotaxis system with loop 带环路的双物种趋化系统的全局动力学

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-22 DOI: 10.1007/s00033-024-02234-7

Xing Zhou, Guoqiang Ren

引用次数: 0

Attractors and asymptotic behavior for an energy-damped extensible beam model 能量阻尼可扩展梁模型的吸引子和渐近行为

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-22 DOI: 10.1007/s00033-024-02241-8

Yanan Li, Vando Narciso, Yue Sun

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Concentration behavior and local uniqueness of normalized solutions for Kirchhoff type equation 基尔霍夫型方程的集中行为和归一化解的局部唯一性

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-22 DOI: 10.1007/s00033-024-02231-w

Helin Guo, Haolin Liu, Lingling Zhao

引用次数: 0

Normalized solutions for nonautonomous Schrödinger–Poisson equations 非自治薛定谔-泊松方程的归一化解

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-21 DOI: 10.1007/s00033-024-02201-2

Yating Xu, Huxiao Luo

引用次数: 0

Dynamical analysis of an age-structured SEIR model with relapse 带有复发的年龄结构 SEIR 模型的动态分析

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-04-21 DOI: 10.1007/s00033-024-02227-6

Abderrazak NABTi

{"title":"Dynamical analysis of an age-structured SEIR model with relapse","authors":"Abderrazak NABTi","doi":"10.1007/s00033-024-02227-6","DOIUrl":"https://doi.org/10.1007/s00033-024-02227-6","url":null,"abstract":"Mathematical models play a crucial role in controlling and preventing the spread of diseases. Based on the communication characteristics of diseases, it is necessary to take into account some essential epidemiological factors such as the time delay that takes an individual to progress from being latent to become infectious, the infectious age which refers to the duration since the initial infection and the occurrence of reinfection after a period of improvement known as relapse, etc. Moreover, age-structured models serve as a powerful tool that allows us to incorporate age variables into the modeling process to better understand the effect of these factors on the transmission mechanism of diseases. In this paper, motivated by the above fact, we reformulate an SEIR model with relapse and age structure in both latent and infected classes. Then, we investigate the asymptotic behavior of the model by using the stability theory of differential equations. For this purpose, we introduce the basic reproduction number (mathcal {R}_0) of the model and show that this threshold parameter completely governs the stability of each equilibrium of the model. Our approach to show global attractivity is based on the fluctuation lemma and Lyapunov functionals method with some results on the persistence theory. The conclusion is that the system has a disease-free equilibrium which is globally asymptotically stable if (mathcal {R}_0<1), while it has only a unique positive endemic equilibrium which is globally asymptotically stable whenever (mathcal {R}_0>1). Our results imply that early diagnosis of latent infection with decrease in both transmission and relapse rates may lead to control and restrict the spread of disease. The theoretical results are illustrated with numerical simulations, which indicate that the age variable is an essential factor affecting the spread of the epidemic.","PeriodicalId":501481,"journal":{"name":"Zeitschrift für angewandte Mathematik und Physik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140625094","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