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Far East Journal of Mathematical Sciences最新文献

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MATHEMATICAL MODELLING OF THE IMPACT OF WANING IMMUNITY AND IMMUNE SYSTEM BOOSTING ON MALARIA TRANSMISSION 免疫减弱和免疫系统增强对疟疾传播影响的数学模型
Far East Journal of Mathematical Sciences Pub Date : 2023-10-30 DOI: 10.17654/0972087123019
Famane Kambiré, Blaise Somé
{"title":"MATHEMATICAL MODELLING OF THE IMPACT OF WANING IMMUNITY AND IMMUNE SYSTEM BOOSTING ON MALARIA TRANSMISSION","authors":"Famane Kambiré, Blaise Somé","doi":"10.17654/0972087123019","DOIUrl":"https://doi.org/10.17654/0972087123019","url":null,"abstract":"A deterministic model is formulated to describe the dynamics of malaria transmission using mosquito population and human population structured by immune status. The variation in mortality of humans and mosquitoes due to causes other than malaria, the infectiousness of recovered humans, the decay of acquired immunity and the immune system boosting are taken into account. The existence of biological meaningful solutions has been analyzed and a single disease-free equilibrium has been identified. The basic reproduction number is expressed in terms of the parameters of the model. The stability of the disease-free equilibrium has been analyzed. We have provided some basic conditions in which the disease dies out or persists. The numerical results showed the impact of immunity decay and immune system boosting on malaria transmission. Received: July 31, 2023Accepted: September 26, 2023","PeriodicalId":475301,"journal":{"name":"Far East Journal of Mathematical Sciences","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136067398","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
A SHORT NOTE ON THE EIGENVALUES OF A PARTICULAR MATRIX 关于一个特定矩阵的特征值的简短说明
Far East Journal of Mathematical Sciences Pub Date : 2023-10-30 DOI: 10.17654/0972087123020
H. F. Coronel-Brizio, A. R. Hernández-Montoya
{"title":"A SHORT NOTE ON THE EIGENVALUES OF A PARTICULAR MATRIX","authors":"H. F. Coronel-Brizio, A. R. Hernández-Montoya","doi":"10.17654/0972087123020","DOIUrl":"https://doi.org/10.17654/0972087123020","url":null,"abstract":"An exact expression for the eigenvalues of the covariance matrix of order statistics from a discrete uniform distribution over the integers ${1, ..., N}$ under a scheme of sampling without replacement  is presented. The result is useful for computing the asymptotic distribution of certain type of statistics and it is illustrated by means of an example. Received: September 19, 2023Accepted: October 17, 2023","PeriodicalId":475301,"journal":{"name":"Far East Journal of Mathematical Sciences","volume":"25 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136067596","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
A SURVEY ON CYCLOTOMIC SUBFIELDS 切眼子场综述
Far East Journal of Mathematical Sciences Pub Date : 2023-09-30 DOI: 10.17654/0972087123018
Javier Gomez-Calderon
{"title":"A SURVEY ON CYCLOTOMIC SUBFIELDS","authors":"Javier Gomez-Calderon","doi":"10.17654/0972087123018","DOIUrl":"https://doi.org/10.17654/0972087123018","url":null,"abstract":"This paper is a survey on cyclotomic subfields and an improved version of the author's work in [1-5]. We show a relationship between cyclotomic and Dickson polynomials with polynomials of the form$$R_n(x)=prod_{(i, n)=1}^{[(n / 2)]}left(x-varsigma_n^i-varsigma_n^{-i}right) .$$Based on these results, we show that $mathbb{Q}left(varsigma_d+varsigma_d^{-1}right) mid Lambda=mathbb{Z}left[varsigma_d+varsigma_d^{-1}right]$, where $Lambda$ denotes the ring of algebraic integers. Given a divisor $d$ of $left[mathbb{Q}left(varsigma_mright): mathbb{Q}right](m$ odd $)$, we also determine an algebraic integer $alpha$ generating a subfield $F$ of degree $d$ over $mathbb{Q}$, providing explicitly the minimum polynomial of $alpha$ for the cases $d=2$ and $d=phi(m) / 2$. Received: August 21, 2023Accepted: September 19, 2023","PeriodicalId":475301,"journal":{"name":"Far East Journal of Mathematical Sciences","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136279568","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
CONFIDENCE INTERVALS APPROXIMATION FOR THE DIFFERENCE AND RATIO OF THE LOGNORMAL MEDIANS THAT UTILIZED A COEFFICIENT OF VARIATION 利用变异系数对对数正态中位数的差值和比率进行置信区间近似
Far East Journal of Mathematical Sciences Pub Date : 2023-09-20 DOI: 10.17654/0972087123017
Sirima Suwan
{"title":"CONFIDENCE INTERVALS APPROXIMATION FOR THE DIFFERENCE AND RATIO OF THE LOGNORMAL MEDIANS THAT UTILIZED A COEFFICIENT OF VARIATION","authors":"Sirima Suwan","doi":"10.17654/0972087123017","DOIUrl":"https://doi.org/10.17654/0972087123017","url":null,"abstract":"This paper concerns the interval estimation of the difference and ratio of population medians for two independent lognormal distributions by using a known coefficient of variation. The method used is based on the standard approach. Using only sample information, the difference, and the ratio of two lognormal medians which had been calculated  got compared through an empirical simulation study. As is shown, an estimator with an outperformance can be obtained by utilizing a coefficient of variation (CV) not greater than 0.50. Received: July 9, 2023Accepted: September 7, 2023","PeriodicalId":475301,"journal":{"name":"Far East Journal of Mathematical Sciences","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136308706","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
THE UNIVERSAL THEORY OF A FREE NILPOTENT GROUP: A PROGRESS REPORT 自由幂零群的普遍理论:进展报告
Far East Journal of Mathematical Sciences Pub Date : 2023-09-18 DOI: 10.17654/0972087123016
Anthony M. Gaglione, Dennis Spellman
{"title":"THE UNIVERSAL THEORY OF A FREE NILPOTENT GROUP: A PROGRESS REPORT","authors":"Anthony M. Gaglione, Dennis Spellman","doi":"10.17654/0972087123016","DOIUrl":"https://doi.org/10.17654/0972087123016","url":null,"abstract":"Let $n$ and $c$ be nonnegative integers. A group satisfies $C T(n)$ provided the centralizer of any element omitted by the $n$th term of the upper central series is abelian. A result of Myasnikov and Remeslennikoy is that the universal theory of a free group $F$ is axiomatized by the quasi-identities true in $F$ together with $C T(0)$ when the models are restricted to $F$-groups. It was shown in [1] that if $G$ is free in the variety $mathcal{N}_c$ of group nilpotent of class at most $c$, then $G$ satisfies $C T(c-1)$. Myasnikov posed the question of whether or not the universal theory of $G$ is axiomatized by the quasi-identities true in $G$ together with $C T(c-1)$ when the models are restricted to $G$-groups in the case $c=2$. The authors have shown in [4] that Myasnikov's question has a positive answer when $G$ has rank 2 . In this paper, we outline an approach to try to extend the result to arbitrary finite rank. Moreover, a counterexample is exhibited to show the analogous result is false already when $c=3$. A conjecture is made about what axioms may suffice when $c geq 3$. Received: July 7, 2023Accepted: August 4, 2023","PeriodicalId":475301,"journal":{"name":"Far East Journal of Mathematical Sciences","volume":"171 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":"135155316","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 THE CONSTRUCTION OF COMMUTING OPERATORS IN THE FIRST WEYL ALGEBRA. II 第一weyl代数中交换算子的构造。2
Far East Journal of Mathematical Sciences Pub Date : 2023-05-19 DOI: 10.17654/0972087123010
Vladimir Tulovsky
{"title":"ON THE CONSTRUCTION OF COMMUTING OPERATORS IN THE FIRST WEYL ALGEBRA. II","authors":"Vladimir Tulovsky","doi":"10.17654/0972087123010","DOIUrl":"https://doi.org/10.17654/0972087123010","url":null,"abstract":"","PeriodicalId":475301,"journal":{"name":"Far East Journal of Mathematical Sciences","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135626079","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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