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A novel modeling and analysis of fractional-order COVID-19 pandemic having a vaccination strategy 具有疫苗接种策略的分数阶COVID-19大流行的新建模和分析
Pub Date : 1900-01-01 DOI: 10.1063/5.0114880
Mehmet Yavuz, Fatma Özlem Coşar, F. Usta
Recently, many illustrative studies have been performed on the mathematical modeling and analysis of COVID-19. Due to the uncertainty in the process of vaccination and its efficiency on the disease, there have not been taken enough studies into account yet. In this context, a mathematical model is developed to reveal the effects of vaccine treatment, which has been developed recently by several companies, on COVID-19 in this study. In the suggested model, as well as the vaccinated individuals, a five-dimensional ordinary differential equation system including the susceptible, infected, exposed and recovered population is constructed. This mentioned system is considered in the fractional order to investigate and point out more detailed analysis in the disease and its future prediction. Moreover, besides the positivity, existence and uniqueness of the solution, biologically feasible region are provided. The basic reproduction number, known as expected secondary infection which means that expected infection among the susceptible populations caused by this infection, is computed. In the numerical simulations, the parameter values taken from the literature and estimated are used to perform the solutions of the proposed model. In the numerical simulations, Adams-Bashforth algorithm which is a well-known numerical scheme is used to obtain the results. © 2022 American Institute of Physics Inc.. All rights reserved.
近年来,对新冠肺炎的数学建模和分析进行了许多说明性研究。由于疫苗接种过程的不确定性及其对疾病的有效性,目前还没有足够的研究。在这种情况下,本研究建立了一个数学模型,以揭示最近几家公司开发的疫苗治疗对COVID-19的影响。在该模型中,构建了包括易感人群、感染人群、暴露人群和恢复人群在内的五维常微分方程组。上述系统被考虑为分数阶,以调查和指出更详细的疾病分析及其未来预测。此外,除了解的正性、存在性和唯一性外,还提供了生物可行区域。计算基本繁殖数,即预期继发感染数,即易感人群中由这种感染引起的预期感染数。在数值模拟中,从文献中获取和估计的参数值被用来执行所提出的模型的解。在数值模拟中,采用了Adams-Bashforth算法,这是一种著名的数值格式。©2022美国物理学会。版权所有。
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引用次数: 3
Numerical simulation of oblique impact on structure using finite element method 斜冲击对结构的有限元数值模拟
Pub Date : 1900-01-01 DOI: 10.1063/5.0106753
Muhammad Fadhli Zahrin, K. Kamarudin, A. S. Abdullah
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引用次数: 0
Supersymmetric polynomials on Banach spaces and their generalizations Banach空间上的超对称多项式及其推广
Pub Date : 1900-01-01 DOI: 10.1063/5.0114862
A. Zagorodnyuk, V. Hladkyi, Bohdan Shlikhutka
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引用次数: 0
An application of Schwarz Lemma for analytic functions in the unit disc 单位圆盘上解析函数的Schwarz引理应用
Pub Date : 1900-01-01 DOI: 10.1063/5.0117524
B. Örnek, T. Akyel
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引用次数: 0
Towards healthcare system integrity using fault-tolerant-based scheduling in edge data center 在边缘数据中心中使用基于容错调度实现医疗保健系统的完整性
Pub Date : 1900-01-01 DOI: 10.1063/5.0104336
M. Hussin, Aliyu Muhammad
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引用次数: 0
Study in-silico interaction of artemisinin ligands against the wild-type Plasmodium falciparum Kelch13 protein model and the Plasmodium falciparum Kelch 13 protein model in mutations of C580Y, R539T, and F446I) 青蒿素配体对野生型恶性疟原虫Kelch13蛋白模型和C580Y、R539T、F446I突变型恶性疟原虫Kelch13蛋白模型的计算机相互作用研究
Pub Date : 1900-01-01 DOI: 10.1063/5.0104442
Semuel Sandy, Irawati Wike
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引用次数: 0
Matching of cocycle extensions for second tangent groups 第二切群的共环扩展的匹配
Pub Date : 1900-01-01 DOI: 10.1063/5.0114879
Filiz Çağatay Uçgun, O. Esen, S. Sütlü
{"title":"Matching of cocycle extensions for second tangent groups","authors":"Filiz Çağatay Uçgun, O. Esen, S. Sütlü","doi":"10.1063/5.0114879","DOIUrl":"https://doi.org/10.1063/5.0114879","url":null,"abstract":"","PeriodicalId":383729,"journal":{"name":"10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121678328","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
Symmetric polynomials on ℓ1 and the symmetric Fock space 1上的对称多项式和对称Fock空间
Pub Date : 1900-01-01 DOI: 10.1063/5.0114863
A. Zagorodnyuk, Z. Novosad, O. Holubchak
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引用次数: 0
Deep learning for football outcomes prediction based on football rating system 基于足球评分系统的深度学习足球结果预测
Pub Date : 1900-01-01 DOI: 10.1063/5.0104587
Nazim Razali, A. Mustapha, N. Arbaiy, Pei-Chun Lin
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引用次数: 1
Numerical solution of the first kind Fredholm integral equations by projection methods with wavelets as the basis functions 以小波为基函数的投影法数值解第一类Fredholm积分方程
Pub Date : 1900-01-01 DOI: 10.1063/5.0116266
N. Temirbekov, L. Temirbekova
. In this paper, we review new works on approximate methods for solving the first kind Fredholm integral equations. The Galerkin-Bubnov projection method with Legendre wavelets is used for the numerical solution of the first kind Fredholm integral equations. Numerical calculations and the proven theorem show a very strong sensitivity of the solution to the accuracy of calculating double integrals for determining the elements of the matrix and the right-hand side of the system of linear algebraic equations, which are determined by cubature formulas or analytical formulas. Also, in this paper we obtain a priori estimates and convergence of the projection methods with bases in the form of wavelets on half-intervals. The performed comparative analysis shows that the Galerkin method with basis functions in the form of Legendre wavelets is efficient in terms of accuracy and is easy to implement.
. 本文综述了求解第一类Fredholm积分方程近似方法的最新研究成果。采用带Legendre小波的Galerkin-Bubnov投影法对第一类Fredholm积分方程进行了数值求解。数值计算和已证明的定理表明,对于确定矩阵元素和线性代数方程组右侧的二重积分的计算精度,该解具有很强的敏感性,这些二重积分是由数学公式或解析公式确定的。此外,本文还得到了半区间上小波形式的基投影方法的先验估计和收敛性。对比分析表明,基函数为勒让德小波形式的伽辽金方法精度高,易于实现。
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引用次数: 2
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10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY
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