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A Three Parameter Power Nakagami Distribution: Properties and Application on the Tax Revenue Data 三参数功率中上分布:税收数据的性质及其应用
International Journal of Analysis and Applications Pub Date : 2023-09-18 DOI: 10.28924/2291-8639-21-2023-97
Shakila Bashir, Noor Waseem, Mujahid Rasul
{"title":"A Three Parameter Power Nakagami Distribution: Properties and Application on the Tax Revenue Data","authors":"Shakila Bashir, Noor Waseem, Mujahid Rasul","doi":"10.28924/2291-8639-21-2023-97","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-97","url":null,"abstract":"Developing the probability distributions is increasing extensively over the decades but even though the newly developed distributions have elegant properties and variety of shapes which are applicable in wide areas of real-life situations and a numerous type of data sets. In this article, we introduced a three-parameter positively skewed model named Power Nakagami (PN) distribution based on power transformation. Various statistical properties of the Power Nakagami distribution are derived, including moments. Some reliability measures such as survival function, hazard function, cumulative hazard function and reversed hazard function are discussed also expressions for mills ratio, odd function, elasticity and Lorenz and Bonferroni Curve are developed. Graphical representation of probability density function, cumulative density function and reliability measures are presented. Maximum likelihood estimation is used to estimate the parameters. The distribution is fitted to real life dataset (Tax revenue) to demonstrate the comparison of the new distribution with the base distribution.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"170 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154215","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
Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space 伪伽利略空间中常比可容许曲线的几何
International Journal of Analysis and Applications Pub Date : 2023-09-18 DOI: 10.28924/2291-8639-21-2023-102
M. Khalifa Saad, H. S. Abdel-Aziz, Haytham A. Ali
{"title":"Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space","authors":"M. Khalifa Saad, H. S. Abdel-Aziz, Haytham A. Ali","doi":"10.28924/2291-8639-21-2023-102","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-102","url":null,"abstract":"An admissible curve of a pseudo-Galilean space is said to be of constant-ratio if the ratio of the length of the tangent and normal components of its position vector function is a constant. In this paper, we investigate and characterize a spacelike admissible curve of constant-ratio in terms of its curvature functions in the pseudo-Galilean space G13. Also, we study some special curves of constantratio such as T-constant and N-constant types of these curves. Finally, we give some computational examples for constructing the meant curves to demonstrate our theoretical results.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"224 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154057","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
Complex Dynamics of a Predator-Prey System With Gompertz Growth and Herd Behavior 具有Gompertz生长和群体行为的捕食-食饵系统的复杂动力学
International Journal of Analysis and Applications Pub Date : 2023-09-18 DOI: 10.28924/2291-8639-21-2023-100
Rizwan Ahmed, M. B. Almatrafi
{"title":"Complex Dynamics of a Predator-Prey System With Gompertz Growth and Herd Behavior","authors":"Rizwan Ahmed, M. B. Almatrafi","doi":"10.28924/2291-8639-21-2023-100","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-100","url":null,"abstract":"The complex dynamics of a predator-prey system in discrete time are studied. In this system, we consider the prey’s Gompertz growth and the square-root functional response. The existence of fixed points and stability are examined. Using the center manifold and bifurcation theory, we found that the system undergoes transcritical bifurcation, period-doubling bifurcation, and Neimark-Sacker bifurcation. In addition, numerical examples are presented to illustrate the consistency of the analytical findings. The bifurcation diagrams show that the positive fixed point is stable if the death rate of the predator is greater than a threshold value. Biologically, it means that to prevent the predator population from growing uncontrollably and stability of the positive fixed point, the predator’s death rate should be greater than the threshold value.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154059","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: 1
Fuzzy n−Controlled Metric Space 模糊控制度量空间
International Journal of Analysis and Applications Pub Date : 2023-09-18 DOI: 10.28924/2291-8639-21-2023-101
Salman Furqan, Naeem Saleem, Salvatore Sessa
{"title":"Fuzzy n−Controlled Metric Space","authors":"Salman Furqan, Naeem Saleem, Salvatore Sessa","doi":"10.28924/2291-8639-21-2023-101","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-101","url":null,"abstract":"This manuscript consists of the idea of n−controlled metric space in fuzzy set theory to generalize a number of fuzzy metric spaces in the literature, for example, pentagonal, hexagonal, triple, and double controlled metric spaces and many other spaces in fuzzy environment. Various examples are given to explain definitions and results. We define open ball, convergence of a sequence and a Cauchy sequence in the context of fuzzy n−controlled metric space. We also prove, by means of an example, that a fuzzy n−controlled metric space is not Hausdorff. At the end of the article, an application is given to prove the uniqueness of the solution to fractional differential equations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154060","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
Vague Bi-Quasi-Interior Ideals of Γ-Semirings 但模糊Bi-Quasi-Interior Ideals ofΓ-Semirings
International Journal of Analysis and Applications Pub Date : 2023-09-18 DOI: 10.28924/2291-8639-21-2023-98
Y. Bhargavi, Aiyared Iampan, B. Nageswararao
{"title":"Vague Bi-Quasi-Interior Ideals of Γ-Semirings","authors":"Y. Bhargavi, Aiyared Iampan, B. Nageswararao","doi":"10.28924/2291-8639-21-2023-98","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-98","url":null,"abstract":"In this paper, we introduce and study the concept of vague bi-quasi-interior ideals of Γ-semirings as a generalization of vague bi-ideals, vague quasi-ideals, vague interior ideals, vague bi-quasi-interior ideals, and vague bi-quasi-interior ideals of Γ-semirings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154052","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
δs(Λ, s)-R0 Spaces and δs(Λ, s)-R1 Spaces δs(Λ， s)-R0空间和δs(Λ， s)-R1空间
International Journal of Analysis and Applications Pub Date : 2023-09-18 DOI: 10.28924/2291-8639-21-2023-99
Chawalit Boonpok, Jeeranunt Khampakdee
{"title":"δs(Λ, s)-R0 Spaces and δs(Λ, s)-R1 Spaces","authors":"Chawalit Boonpok, Jeeranunt Khampakdee","doi":"10.28924/2291-8639-21-2023-99","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-99","url":null,"abstract":"Our main purpose is to introduce the notions of δs(Λ, s)-R0 spaces and δs(Λ, s)-R1 spaces. Moreover, several characterizations of δs(Λ, s)-R0 spaces and δs(Λ, s)-R1 spaces are investigated.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154050","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
Vector General Fuzzy Automaton: A Refining Analyzing 向量广义模糊自动机:一种精炼分析
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-29 DOI: 10.28924/2291-8639-21-2023-92
M. Shamsizadeh, K. Abolpour, E. Movahednia, M. de La Sen
{"title":"Vector General Fuzzy Automaton: A Refining Analyzing","authors":"M. Shamsizadeh, K. Abolpour, E. Movahednia, M. de La Sen","doi":"10.28924/2291-8639-21-2023-92","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-92","url":null,"abstract":"This study aims to investigate the refining relation between two vector general fuzzy automata (VGFA) and prove that refining relation is an equivalence relation. Moreover, Also, we prove that if there exists a refining equivalence between two VGFA, then they have the same language. After that, by considering the notion of refining equivalence, we present the quotient of VGFA. In particular, we show that any quotient of a given VGFA and the VGFA itself have the same language. Furthermore, using the quotient VGFA, we obtain a minimal VGFA with the same language.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44523000","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
Periodic Trajectories for HIV Dynamics in a Seasonal Environment With a General Incidence Rate 具有一般发病率的季节性环境中HIV动态的周期轨迹
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-29 DOI: 10.28924/2291-8639-21-2023-96
M. El Hajji, Rahmah Mohammed Alnjrani
{"title":"Periodic Trajectories for HIV Dynamics in a Seasonal Environment With a General Incidence Rate","authors":"M. El Hajji, Rahmah Mohammed Alnjrani","doi":"10.28924/2291-8639-21-2023-96","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-96","url":null,"abstract":"In this paper, we propose a five-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Finally, some numerical simulations are presented to illustrate the theoretical findings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43543531","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: 1
Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces 求解相空间中具有Caputo-Hadamard导数的耦合脉冲分数阶微分方程
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-29 DOI: 10.28924/2291-8639-21-2023-95
H. Hammad, H. Aydi, Doha A. Kattan
{"title":"Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces","authors":"H. Hammad, H. Aydi, Doha A. Kattan","doi":"10.28924/2291-8639-21-2023-95","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-95","url":null,"abstract":"In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48607578","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
Certain New Subclassess of Analytic and Bi-univalent Functions 解析函数和双一元函数的某些新子类
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-29 DOI: 10.28924/2291-8639-21-2023-93
C. R. Krishna, A. Chandrashekar, N. Ravikumar
{"title":"Certain New Subclassess of Analytic and Bi-univalent Functions","authors":"C. R. Krishna, A. Chandrashekar, N. Ravikumar","doi":"10.28924/2291-8639-21-2023-93","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-93","url":null,"abstract":"The paper presents two novel subclasses of the function class Σ, which consists of bi-univalent functions defined in the open unit disk D={ζ:|ζ|<1}. The authors investigate the properties of these new subclasses and provide estimates for the absolute values of the second, third, and fourth Taylor-Maclaurin coefficients r2, r3, and r4 for functions in these subclasses.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48650464","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
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