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Continuous Tsallis and Renyi extropy with pharmaceutical market application 连续的沙利和仁义外倾与医药市场应用
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231233
M. Mohamed, Najwan Alsadat, O. S. Balogun
{"title":"Continuous Tsallis and Renyi extropy with pharmaceutical market application","authors":"M. Mohamed, Najwan Alsadat, O. S. Balogun","doi":"10.3934/math.20231233","DOIUrl":"https://doi.org/10.3934/math.20231233","url":null,"abstract":"In this paper, the Tsallis and Renyi extropy is presented as a continuous measure of information under the continuous distribution. Furthermore, the features and their connection to other information measures are introduced. Some stochastic comparisons and results on the order statistics and upper records are given. Moreover, some theorems about the maximum Tsallis and Renyi extropy are discussed. On the other hand, numerical results of the non-parametric estimation of Tsallis extropy are calculated for simulated and real data with application to time series model and its forecasting.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70164915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 1
Unreliable retrial queueing system with working vacation 带工作假期的不可靠重审排队系统
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231234
Bharathy Shanmugam, M. C. Saravanarajan
{"title":"Unreliable retrial queueing system with working vacation","authors":"Bharathy Shanmugam, M. C. Saravanarajan","doi":"10.3934/math.20231234","DOIUrl":"https://doi.org/10.3934/math.20231234","url":null,"abstract":"This paper investigates an unreliable $ M/G(P_{1}, P_{2})/1 $ retrial queueing system with a woking vacation. An arriving customer successfully starts the first phase service with the probability $ alpha $ or the server fails with the probability $ bar{alpha} $. Once failure happens, the serving customer is taken to the orbit. The failed server is taken for repair with some delay. Once the repair is comleted, the server is ready to provide service once again. In this background, we implemented the working vacation scenario. During working vacation, the service will be provided at a slower rate, rather than entirely stopping the service. The supplementary variable method was adopted to find the orbit and system lengths. Additionally, some unique results and numerical evaluations have been presented.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring 非酉交换环上自正交码和自对偶码的质量公式
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231242
A. Alahmadi, A. Alshuhail, P. Solé
{"title":"The mass formula for self-orthogonal and self-dual codes over a non-unitary commutative ring","authors":"A. Alahmadi, A. Alshuhail, P. Solé","doi":"10.3934/math.20231242","DOIUrl":"https://doi.org/10.3934/math.20231242","url":null,"abstract":"In this paper, we establish a mass formula for self-orthogonal codes, quasi self-dual codes, and self-dual codes over commutative non-unital rings $ {{mathit {I}_p}} = left < a, b | pa = pb = 0, a^2 = b, ab = 0 right > $, where $ p $ is an odd prime. We also give a classification of the three said classes of codes over $ {{mathit {I}_p}} $ where $ p = 3, 5, $ and $ 7 $, with lengths up to $ 3 $.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Unbalanced signed graphs with eigenvalue properties 具有特征值性质的不平衡符号图
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231262
Rashad Ismail, S. Hameed, Uzma Ahmad, Khadija Majeed, M. Javaid
{"title":"Unbalanced signed graphs with eigenvalue properties","authors":"Rashad Ismail, S. Hameed, Uzma Ahmad, Khadija Majeed, M. Javaid","doi":"10.3934/math.20231262","DOIUrl":"https://doi.org/10.3934/math.20231262","url":null,"abstract":"For a signature function $ Psi:E({H}) longrightarrow {pm 1} $ with underlying graph $ H $, a signed graph (S.G) $ hat{H} = (H, Psi) $ is a graph in which edges are assigned the signs using the signature function $ Psi $. An S.G $ hat{H} $ is said to fulfill the symmetric eigenvalue property if for every eigenvalue $ hat{h}(hat{H}) $ of $ hat{H} $, $ -hat{h}(hat{H}) $ is also an eigenvalue of $ hat{H} $. A non singular S.G $ hat{H} $ is said to fulfill the property $ (mathcal{SR}) $ if for every eigenvalue $ hat{h}(hat{H}) $ of $ hat{H} $, its reciprocal is also an eigenvalue of $ hat{H} $ (with multiplicity as that of $ hat{h}(hat{H}) $). A non singular S.G $ hat{H} $ is said to fulfill the property $ (-mathcal{SR}) $ if for every eigenvalue $ hat{h}(hat{H}) $ of $ hat{H} $, its negative reciprocal is also an eigenvalue of $ hat{H} $ (with multiplicity as that of $ hat{h}(hat{H}) $). In this article, non bipartite unbalanced S.Gs $ hat{mathfrak{C}}^{(m, 1)}_{3} $ and $ hat{mathfrak{C}}^{(m, 2)}_{5} $, where $ m $ is even positive integer have been constructed and it has been shown that these graphs fulfill the symmetric eigenvalue property, the S.Gs $ hat{mathfrak{C}}^{(m, 1)}_{3} $ also fulfill the properties $ (-mathcal{SR}) $ and $ (mathcal{SR}) $, whereas the S.Gs $ hat{mathfrak{C}}^{(m, 2)}_{5} $ are close to fulfill the properties $ (-mathcal{SR}) $ and $ (mathcal{SR}) $.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The $ g $-extra $ H $-structure connectivity and $ g $-extra $ H $-substructure connectivity of hypercubes 超立方体的$ g $-extra $ H $-结构连通性和$ g $-extra $ H $-子结构连通性
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231267
Bo Zhu, Shumin Zhang, Huifen Ge, Chengfu Ye
{"title":"The $ g $-extra $ H $-structure connectivity and $ g $-extra $ H $-substructure connectivity of hypercubes","authors":"Bo Zhu, Shumin Zhang, Huifen Ge, Chengfu Ye","doi":"10.3934/math.20231267","DOIUrl":"https://doi.org/10.3934/math.20231267","url":null,"abstract":"At present, the reliability of interconnection networks of multiprocessing systems has become a hot topic of research concern for parallel computer systems. Conditional connectivity is an important parameter to measure the reliability of an interconnected network. In reality, the failure of one node will inevitably have a negative impact on the surrounding nodes. Often it is the specific structures that fail in an interconnected network. Therefore, we propose two novel kinds of connectivity, called $ g $-extra $ H $-structure connectivity and $ g $-extra $ H $-substructure connectivity, to go for a more accurate measure of the reliability of the network. Hypercube network is the most dominant interconnection network topology used by computer systems today, for example, the famous parallel computing systems Cray $ T3D $, Cray $ T3E $, $ IBM $ Blue Gene, etc. are built with it as the interconnection network topology. In this paper, we obtain the results of the $ g $-extra $ H $-structure connectivity and the $ g $-extra $ H $-substructure connectivity of the hypercubes when the specific structure is $ P_k $ and $ g = 1 $.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70166766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models 二元q扩展Weibull morgenstern族及其部分子模型的相关系数公式
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231292
R. A. Attwa, T. Radwan, E. O. A. Zaid
{"title":"Bivariate q-extended Weibull morgenstern family and correlation coefficient formulas for some of its sub-models","authors":"R. A. Attwa, T. Radwan, E. O. A. Zaid","doi":"10.3934/math.20231292","DOIUrl":"https://doi.org/10.3934/math.20231292","url":null,"abstract":"A bivariate extension of a flexible univariate family is proposed. The new family is called bivariate q-extended Weibull Morgenstern family of distributions which can be constructed based on the Farlie-Gumbel-Morgenstern (FGM) copula technique. After introducing the new family, four sub-models are discussed in detail from the theoretical and numerical coefficient of correlation point of view with pointing to the effect of the $ q $ parameter.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70167690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Maps on $ C^ast $-algebras are skew Lie triple derivations or homomorphisms at one point C^ast $-代数上的映射是一点上的斜李三重导数或同态
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231305
Zhonghua Wang, Xiuhai Fei
{"title":"Maps on $ C^ast $-algebras are skew Lie triple derivations or homomorphisms at one point","authors":"Zhonghua Wang, Xiuhai Fei","doi":"10.3934/math.20231305","DOIUrl":"https://doi.org/10.3934/math.20231305","url":null,"abstract":"In this paper, we show that every continuous linear map between unital $ C^ast $-algebras is skew Lie triple derivable at the identity is a $ ast $-derivation and that every continuous linear map between unital $ C^ast $-algebras which is a skew Lie triple homomorphism at the identity is a Jordan $ ast $-homomorphism.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70168965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Direct connection between Navier and spherical harmonic kernels in elasticity 弹性力学中Navier和球谐核的直接联系
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023158
D. Labropoulou, P. Vafeas, G. Dassios
{"title":"Direct connection between Navier and spherical harmonic kernels in elasticity","authors":"D. Labropoulou, P. Vafeas, G. Dassios","doi":"10.3934/math.2023158","DOIUrl":"https://doi.org/10.3934/math.2023158","url":null,"abstract":"Linear isotropic elasticity is an interesting branch of continuum mechanics, described by the fundamental laws of Hooke and Newton, which are combined in order to construct the governing generalized Navier equation of the displacement within any material. Implying time-independence and in the absence of external body forces, the latter is reduced to the corresponding form of a homogeneous second-order partial differential equation, whose solution is given via the Papkovich differential representation, which expresses the displacement field in terms of harmonic functions. On the other hand, spherical geometry provides the most widely used framework in real-life applications, concerning interior and exterior problems in elasticity. The present work aims to provide a little progress, by producing ready-to-use basic functions for linear isotropic elasticity in spherical coordinates. Hence, we calculate the Papkovich eigensolutions, generated by the spherical harmonic eigenfunctions, obtaining connections between Navier and spherical harmonic kernels. A set of useful results are provided at the end of the paper in the form of examples, regarding the evaluation of displacement field inside and outside a sphere.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70171122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Disaster decision-making with a mixing regret philosophy DDAS method in Fermatean fuzzy number fermatan模糊数中混合后悔哲学DDAS方法的灾难决策
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023192
A. Fahmi, Rehan Ahmed, M. Aslam, T. Abdeljawad, Aziz Khan
{"title":"Disaster decision-making with a mixing regret philosophy DDAS method in Fermatean fuzzy number","authors":"A. Fahmi, Rehan Ahmed, M. Aslam, T. Abdeljawad, Aziz Khan","doi":"10.3934/math.2023192","DOIUrl":"https://doi.org/10.3934/math.2023192","url":null,"abstract":"In this paper, the use of the Fermatean fuzzy number (FFN) in a significant research problem of disaster decision-making by defining operational laws and score function is demonstrated. Generally, decision control authorities need to brand suitable and sensible disaster decisions in the direct conceivable period as unfitting decisions may consequence in enormous financial dead and thoughtful communal costs. To certify that a disaster comeback can be made, professionally, we propose a new disaster decision-making (DDM) technique by the Fermatean fuzzy Schweizer-Sklar environment. First, the Fermatean fuzzy Schweizer-Sklar operators are employed by decision-makers to rapidly analyze their indefinite and vague assessment information on disaster choices. Then, the DDM technique based on the FFN is planned to identify highly devastating disaster choices and the best available choices. Finally, the proposed regret philosophy DDM technique is shown functional to choose the ideal retort explanation for a communal fitness disaster in Pakistan. The dominance and realism of the intended technique are further defensible through a relative study with additional DDM systems.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70171984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 1
Sensitivity analysis of cassava mosaic disease with saturation incidence rate model 木薯花叶病饱和发病率模型敏感性分析
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.2023315
S. Sangsawang, U. Humphries, Amir Khan, P. Pongsumpun
{"title":"Sensitivity analysis of cassava mosaic disease with saturation incidence rate model","authors":"S. Sangsawang, U. Humphries, Amir Khan, P. Pongsumpun","doi":"10.3934/math.2023315","DOIUrl":"https://doi.org/10.3934/math.2023315","url":null,"abstract":"Cassava mosaic disease (CMD) is caused by a virus transmitted by the whitefly. This disease can destroy cassava at any stage of its growth and it resulted in lower cassava yields. In this paper, we developed a mathematical model for the epidemic of cassava mosaic disease with a deterministic model which has saturation incidence rates. This model aims to explain the effect of vectors on cassava disease outbreaks. First, this model was analyzed using standard dynamic methods to determine the behavior of the solution. We found the existence and condition of disease-free and endemic steady state. The basic reproductive number ($ R_0 $) is obtained by using the next-generation method which $ R_0 $ helps assess the ability to spread infectious diseases. Second, the stability of the steady state was analyzed, then we obtain the condition of existence of local stability and global stability at each steady state of this model. Third, analysis of the sensitivity indices in the threshold number to determine the effect of the various parameters. Finally, the results of the theoretical model were validated by numerical simulations. It is represented by various graphs converging at a steady state and stable.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70178176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 1
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