首页 > 最新文献

Journal of Mathematical and Fundamental Sciences最新文献

英文 中文
Chemical Constituents of Indonesian Micromelum minutum Leaves and Their Cytotoxicity Against MCF-7 and 4T1 Breast Cancer Cells 印尼微香叶化学成分及其对MCF-7和4T1乳腺癌细胞的细胞毒性研究
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-06-07 DOI: 10.5614/J.FUND.MATH.SCI.2021.53.1.7
R. A. Susidarti, E. Meiyanto, Muthi’ Ikawati, Normaidah Normaidah, Nurramadhani A Sida
Micromelum minutum is used widely in traditional folk medicine. Although this species has been investigated extensively and several bioactive compounds have been isolated, little work has been done on Indonesian M. minutum. This research aimed to study the chemical constituents and biological activities of M. minutum cultivated in Bantimurung Bulusaraung National Park, South Sulawesi, Indonesia. The isolated compounds were assessed for their cytotoxicity towards MCF-7 and 4T1 cell lines by MTT method. The dried ground leaves of M. minutum were sequentially macerated with n-hexane, ethyl acetate, and methanol. The n-hexane and ethyl acetate extracts contained a flavonoid 5,7-dihydroxy-3,4',8-trimethoxyflavone (1) which inhibited MCF-7 and 4T1 cell viability by 50% at concentrations of 369±8 and 227±5 µM, respectively. Further separation of the ethyl acetate extract by column chromatography yielded acetyldihydromicromelin A (2) and a mixture of dihydromicromelin A (3) and dihydromicromelin B (4), which were not active toward MCF-7 and 4T1 cells.
小茴香在传统民间医学中应用广泛。虽然人们对该物种进行了广泛的研究,并分离出了几种生物活性化合物,但对印度尼西亚M. minutum的研究却很少。本研究旨在研究印度尼西亚南苏拉威西邦提姆隆布鲁萨朗国家公园种植的石竹的化学成分和生物活性。采用MTT法对分离得到的化合物对MCF-7和4T1细胞株进行细胞毒性评价。分别用正己烷、乙酸乙酯和甲醇浸渍干磨叶。正己烷和乙酸乙酯提取物中含有类黄酮5,7-二羟基-3,4',8-三甲氧基黄酮(1),在浓度为369±8µM和227±5µM时,MCF-7和4T1细胞活力分别下降50%。乙酸乙酯萃取物进一步用柱层析分离得到乙酰二氢微melin A(2)和二氢微melin A(3)和二氢微melin B(4)的混合物,它们对MCF-7和4T1细胞没有活性。
{"title":"Chemical Constituents of Indonesian Micromelum minutum Leaves and Their Cytotoxicity Against MCF-7 and 4T1 Breast Cancer Cells","authors":"R. A. Susidarti, E. Meiyanto, Muthi’ Ikawati, Normaidah Normaidah, Nurramadhani A Sida","doi":"10.5614/J.FUND.MATH.SCI.2021.53.1.7","DOIUrl":"https://doi.org/10.5614/J.FUND.MATH.SCI.2021.53.1.7","url":null,"abstract":"Micromelum minutum is used widely in traditional folk medicine. Although this species has been investigated extensively and several bioactive compounds have been isolated, little work has been done on Indonesian M. minutum. This research aimed to study the chemical constituents and biological activities of M. minutum cultivated in Bantimurung Bulusaraung National Park, South Sulawesi, Indonesia. The isolated compounds were assessed for their cytotoxicity towards MCF-7 and 4T1 cell lines by MTT method. The dried ground leaves of M. minutum were sequentially macerated with n-hexane, ethyl acetate, and methanol. The n-hexane and ethyl acetate extracts contained a flavonoid 5,7-dihydroxy-3,4',8-trimethoxyflavone (1) which inhibited MCF-7 and 4T1 cell viability by 50% at concentrations of 369±8 and 227±5 µM, respectively. Further separation of the ethyl acetate extract by column chromatography yielded acetyldihydromicromelin A (2) and a mixture of dihydromicromelin A (3) and dihydromicromelin B (4), which were not active toward MCF-7 and 4T1 cells.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"303 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77769634","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
Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials 与Chebyshev多项式相关的Salagean微分算子的(P, Q)模拟定义的双一价函数的系数估计
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-20 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.4
T. Panigrahi, S. K. Mohapatra
In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.
在本研究中,我们使用Jackson (p,q)-微分算子引入扩展的Salagean算子,用Rkp,q表示。介绍了基于算子Rkp,q的与切比雪夫多项式相关的双一元函数类。首先,建立了函数类的两个系数界和Fekete-Szego不等式。根据所涉及的不同参数,可以得出许多推论。
{"title":"Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials","authors":"T. Panigrahi, S. K. Mohapatra","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.4","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.4","url":null,"abstract":"In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"9 1","pages":"49-66"},"PeriodicalIF":0.7,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90848298","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
An Analysis of CTMC Stochastic Models with Quarantine on the Spread of Tuberculosis Diseases 带检疫的CTMC随机模型对结核病传播的影响分析
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-20 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.3
Fatimatuzzahroh Fatimatuzzahroh, H. Sumarno, P. Sianturi
The SIQRS epidemic model developed in this study is intended to analyze the spread characteristics of the infectious disease tuberculosis. It is a modification of the SIQR model developed by Cao et al., using a stochastic model called the Continuous Time Markov Chains (CTMC) approach. Further analysis of the SIQRS model was done to determine the transitional probability, the outbreak probability, the expected time until disease extinction and to simulate the effect of quarantine treatment on the expected time until disease extinction. Based on the simulation it can be concluded that a decrease of the healing rate together with an increase of the transmission rate changes the basic reproduction number (R0), the expected number of infected individuals (m), the time until disease extinction, and the outbreak probability. A disease outbreak will occur if both R0 > 1 and m > 1 hold. Also, based on the simulation it was concluded that the decrease of the healing rate and the increase of the transmission rate cause increases of R0 and m. An increase of the quarantine rate reduces the expected time to disease extinction, R0 and m. As a consequence, the disease will gradually disappear from the system.
本研究建立的SIQRS流行病模型旨在分析传染病结核病的传播特征。它是Cao等人开发的SIQR模型的修改,使用称为连续时间马尔可夫链(CTMC)方法的随机模型。对SIQRS模型进行进一步分析,确定过渡概率、爆发概率、疾病灭绝前的预期时间,并模拟隔离处理对疾病灭绝前的预期时间的影响。通过仿真可以得出,愈率的降低和传播率的增加会改变基本繁殖数(R0)、预期感染个体数(m)、疾病灭绝前的时间和爆发概率。如果R0 > 1和m > 1同时成立,就会发生疾病爆发。同时,通过仿真得出,愈率的降低和传播率的增加会导致R0和m的增加。隔离率的增加会缩短疾病灭绝的预期时间R0和m,从而使疾病逐渐从系统中消失。
{"title":"An Analysis of CTMC Stochastic Models with Quarantine on the Spread of Tuberculosis Diseases","authors":"Fatimatuzzahroh Fatimatuzzahroh, H. Sumarno, P. Sianturi","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.3","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.3","url":null,"abstract":"The SIQRS epidemic model developed in this study is intended to analyze the spread characteristics of the infectious disease tuberculosis. It is a modification of the SIQR model developed by Cao et al., using a stochastic model called the Continuous Time Markov Chains (CTMC) approach. Further analysis of the SIQRS model was done to determine the transitional probability, the outbreak probability, the expected time until disease extinction and to simulate the effect of quarantine treatment on the expected time until disease extinction. Based on the simulation it can be concluded that a decrease of the healing rate together with an increase of the transmission rate changes the basic reproduction number (R0), the expected number of infected individuals (m), the time until disease extinction, and the outbreak probability. A disease outbreak will occur if both R0 > 1 and m > 1 hold. Also, based on the simulation it was concluded that the decrease of the healing rate and the increase of the transmission rate cause increases of R0 and m. An increase of the quarantine rate reduces the expected time to disease extinction, R0 and m. As a consequence, the disease will gradually disappear from the system.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"1 1","pages":"31-48"},"PeriodicalIF":0.7,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88905037","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: 2
Antifungal Activity of Endophytic Bacteria Associated with Sweet Sorghum (Sorghum bicolor) 甜高粱内生细菌的抗真菌活性研究
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-20 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.2
S. Meliah, T. Sulistiyani, P. Lisdiyanti, A. Kanti, I. Sudiana, Masaru Kobayashi
The contribution of endophytic bacteria to the wellbeing of plants as biocontrol agents may be due to endophytic bacteria growing in the same niche as phytopathogens. This work was conducted to study the antagonistic activity of endophytic bacteria recovered from sweet sorghum against Sclerotium rolfsii, Fusarium solani, Fusarium oxysporum, Colletotrichum gloeosporioides in vitro and evaluate the mechanisms of these fungal inhibitions. We selected 78 endophytic bacteria from the stem and root of sweet sorghum plants. They were tested for antagonist activity by direct confrontation method. Antifungal compound production and lytic enzyme activity were examined to determine their mechanisms in inhibiting fungal pathogens. Antifungal compound production was checked by detecting the presence of NRPS and PKS genes. Lytic enzyme activity of the bacteria was evaluated by their ability to produce cellulase, chitinase, and protease. Selected bacteria were identified using molecular analysis based on the 16S rRNA gene. 14 out of the 78 tested isolates showed antagonistic activity and two were able to inhibit all four tested fungal strains. Four bacteria, designated as ACIL1, ACNM4, ACNM6, and ATNM4, produced natural products via NRPS pathway, but only one bacterial extract, designated as ACNM4, showed fungal inhibition. Ten isolates were able to produce hydrolytic enzymes. Endophytic bacteria identified as Burkholderia were revealed to have potential as a biocontrol agent.
内生细菌作为生物防治剂对植物健康的贡献可能是由于内生细菌与植物病原体生长在同一生态位。本文研究了甜高粱内生细菌对罗氏菌核菌、番茄枯萎菌、尖孢枯萎菌、炭疽病菌的体外拮抗活性,并对其抑制机制进行了初步探讨。从甜高粱的茎和根中筛选出78株内生细菌。采用直接对抗法测定其拮抗活性。研究了抗真菌化合物的生成和酶活性,以确定其抑制真菌病原体的机制。通过检测NRPS和PKS基因的存在来检测抗真菌化合物的产生。通过细菌产生纤维素酶、几丁质酶和蛋白酶的能力来评价细菌的裂解酶活性。采用基于16S rRNA基因的分子分析方法对所选细菌进行鉴定。78个分离株中有14个表现出拮抗活性,其中2个能够抑制所有4种真菌菌株。4种细菌ACIL1、ACNM4、ACNM6和ATNM4通过NRPS途径产生天然产物,但只有一种细菌提取物ACNM4具有真菌抑制作用。10株菌株能产生水解酶。被鉴定为伯克霍尔德菌的内生细菌显示出作为生物防治剂的潜力。
{"title":"Antifungal Activity of Endophytic Bacteria Associated with Sweet Sorghum (Sorghum bicolor)","authors":"S. Meliah, T. Sulistiyani, P. Lisdiyanti, A. Kanti, I. Sudiana, Masaru Kobayashi","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.2","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.2","url":null,"abstract":"The contribution of endophytic bacteria to the wellbeing of plants as biocontrol agents may be due to endophytic bacteria growing in the same niche as phytopathogens. This work was conducted to study the antagonistic activity of endophytic bacteria recovered from sweet sorghum against Sclerotium rolfsii, Fusarium solani, Fusarium oxysporum, Colletotrichum gloeosporioides in vitro and evaluate the mechanisms of these fungal inhibitions. We selected 78 endophytic bacteria from the stem and root of sweet sorghum plants. They were tested for antagonist activity by direct confrontation method. Antifungal compound production and lytic enzyme activity were examined to determine their mechanisms in inhibiting fungal pathogens. Antifungal compound production was checked by detecting the presence of NRPS and PKS genes. Lytic enzyme activity of the bacteria was evaluated by their ability to produce cellulase, chitinase, and protease. Selected bacteria were identified using molecular analysis based on the 16S rRNA gene. 14 out of the 78 tested isolates showed antagonistic activity and two were able to inhibit all four tested fungal strains. Four bacteria, designated as ACIL1, ACNM4, ACNM6, and ATNM4, produced natural products via NRPS pathway, but only one bacterial extract, designated as ACNM4, showed fungal inhibition. Ten isolates were able to produce hydrolytic enzymes. Endophytic bacteria identified as Burkholderia were revealed to have potential as a biocontrol agent.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"8 1","pages":"16-30"},"PeriodicalIF":0.7,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86294046","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: 2
Some Remarks on Results Related to ∇-Convex Function 关于∇-凸函数相关结果的若干注释
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-20 DOI: 10.5614/J.FUND.MATH.SCI.2021.53.1.5
Asif R Khan, F. Mehmood, F. Nawaz, Aamna Nazir
In present article we give some general identities of Popoviciu type for discrete case for sums PM i=1PN j=1 pijf(yi,zj) andPM i=1PN j=1 pijaij for two dimension using higher order ∇ divided dii¬€erence, and for integral case RRP(y,z)f(y,z)dydz are deduced by dii¬€erent methods for higher order dii¬€erentiable function of two variables and these identities would be generalization of several established results.
本文利用高阶可分向量,给出了二维和PM i=1PN j=1 pijf(yi,zj)和PM i=1PN j=1 pijj离散情况下的一些一般的Popoviciu型恒等式,并利用双变量高阶可分函数的双事件方法,导出了积分情况下的RRP(y,z)f(y,z)dydz,这些恒等式是已有结果的推广。
{"title":"Some Remarks on Results Related to ∇-Convex Function","authors":"Asif R Khan, F. Mehmood, F. Nawaz, Aamna Nazir","doi":"10.5614/J.FUND.MATH.SCI.2021.53.1.5","DOIUrl":"https://doi.org/10.5614/J.FUND.MATH.SCI.2021.53.1.5","url":null,"abstract":"In present article we give some general identities of Popoviciu type for discrete case for sums PM i=1PN j=1 pijf(yi,zj) andPM i=1PN j=1 pijaij for two dimension using higher order ∇ divided dii¬€erence, and for integral case RRP(y,z)f(y,z)dydz are deduced by dii¬€erent methods for higher order dii¬€erentiable function of two variables and these identities would be generalization of several established results.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"1 1","pages":"67-85"},"PeriodicalIF":0.7,"publicationDate":"2021-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79777683","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
A New Family of Exponential Type Estimators in the Presence of Non-Response 无响应存在下一类新的指数型估计量
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-07 DOI: 10.5614/J.MATH.FUND.SCI.2021.53.1.1
Ceren Ünal, C. Kadilar
We propose families of estimators for the population mean using an exponential function in case of non-response. This situation is examined under two cases, Case I and II. The bias, MSE and minimum MSE are separately obtained for both cases. We compare the proposed estimators theoretically with the main estimators from the literature, such as Hansen and Hurwitz (1946), ratio, regression and exponential estimators. The conditions for which the proposed estimators are most efficient are obtained. Moreover, different empirical studies are conducted to support the theoretical results for both cases.
在无响应的情况下,我们提出了使用指数函数的总体均值估计族。这种情况在情况一和情况二两种情况下加以审查。分别得到了两种情况下的偏置、均方差和最小均方差。我们从理论上比较了提出的估计量与文献中的主要估计量,如Hansen和Hurwitz(1946),比率,回归和指数估计量。得到了所提估计最有效的条件。此外,本文还进行了不同的实证研究来支持这两种情况的理论结果。
{"title":"A New Family of Exponential Type Estimators in the Presence of Non-Response","authors":"Ceren Ünal, C. Kadilar","doi":"10.5614/J.MATH.FUND.SCI.2021.53.1.1","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2021.53.1.1","url":null,"abstract":"We propose families of estimators for the population mean using an exponential function in case of non-response. This situation is examined under two cases, Case I and II. The bias, MSE and minimum MSE are separately obtained for both cases. We compare the proposed estimators theoretically with the main estimators from the literature, such as Hansen and Hurwitz (1946), ratio, regression and exponential estimators. The conditions for which the proposed estimators are most efficient are obtained. Moreover, different empirical studies are conducted to support the theoretical results for both cases.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"86 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82202675","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: 2
Analysis of SIS-SI Stochastic Model with CTMC on the Spread of Malaria Disease 带有CTMC的SIS-SI随机模型对疟疾传播的分析
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-01-01 DOI: 10.5614/j.math.fund.sci.2021.53.2.1
Niswah Yanfa Nabilah Syams, H. Sumarno, P. Sianturi
Various mathematical models have been developed to describe the transmission of malaria disease. The purpose of this study was to modify an existing mathematical model of malaria disease by using a CTMC stochastic model. The investigation focused on the transition probability, the basic reproduction number (R0), the outbreak probability, the expected time required to reach a disease-free equilibrium, and the quasi-stationary probability distribution. The population system will experience disease outbreak if R0>1, whereas an outbreak will not occur in the population system if R0≤1. The probability that a mosquito bites an infectious human is denoted as k, while θ is associated with human immunity. Based on the numerical analysis conducted, k and θ have high a contribution to the distribution of malaria disease. This conclusion is based on their impact on the outbreak probability and the expected time required to reach a disease-free equilibrium.
人们开发了各种数学模型来描述疟疾的传播。本研究的目的是利用CTMC随机模型对现有的疟疾数学模型进行修正。调查的重点是转移概率、基本繁殖数(R0)、爆发概率、达到无病平衡所需的预期时间和准平稳概率分布。当R0>1时,种群系统将发生疾病暴发,而当R0≤1时,种群系统不会发生疾病暴发。蚊子叮咬有传染性的人的概率用k表示,θ与人体免疫力有关。根据所进行的数值分析,k和θ对疟疾的分布有很大的贡献。这一结论是基于它们对爆发概率的影响和达到无病平衡所需的预期时间。
{"title":"Analysis of SIS-SI Stochastic Model with CTMC on the Spread of Malaria Disease","authors":"Niswah Yanfa Nabilah Syams, H. Sumarno, P. Sianturi","doi":"10.5614/j.math.fund.sci.2021.53.2.1","DOIUrl":"https://doi.org/10.5614/j.math.fund.sci.2021.53.2.1","url":null,"abstract":"Various mathematical models have been developed to describe the transmission of malaria disease. The purpose of this study was to modify an existing mathematical model of malaria disease by using a CTMC stochastic model. The investigation focused on the transition probability, the basic reproduction number (R0), the outbreak probability, the expected time required to reach a disease-free equilibrium, and the quasi-stationary probability distribution. The population system will experience disease outbreak if R0>1, whereas an outbreak will not occur in the population system if R0≤1. The probability that a mosquito bites an infectious human is denoted as k, while θ is associated with human immunity. Based on the numerical analysis conducted, k and θ have high a contribution to the distribution of malaria disease. This conclusion is based on their impact on the outbreak probability and the expected time required to reach a disease-free equilibrium.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"83 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79164707","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: 4
On Subspace-ergodic Operators 关于子空间遍历算子
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.5
M. Moosapoor
In this paper, we define subspace-ergodic operators and give examples of these operators. We show that by any given separable infinite-dimensional Banach space, subspace-ergodic operators can be constructed. We demonstrate that an invertible operator T is subspace-ergodic if and only if T-1 is subspace-ergodic. We prove that the direct sum of two subspace-ergodic operators is subspace-ergodic and if the direct sum of two operators is subspace-ergodic, then each of them is subspace-ergodic. Also, we investigate relations between subspace-ergodic and subspace-mixing operators. For example, we show that if T is subspace-mixing and invertible, then Tn and T-n are subspace-ergodic for n∈ℕ.
本文定义了子空间遍历算子,并给出了这些算子的例子。我们证明了对于任意给定的可分离无限维巴拿赫空间,子空间遍历算子是可以构造的。我们证明了一个可逆算子T是子空间遍历的,如果T-1是子空间遍历的,则证明了onlyÂ。证明了两个子空间遍历算子的直和是子空间遍历的,如果两个算子的直和是子空间遍历的,则它们都是子空间遍历的。此外,我们还研究了子空间遍历算子和子空间混合算子之间的关系。例如,我们证明了如果T是子空间混合且可逆的,则Tn和T-n是子空间遍历的。
{"title":"On Subspace-ergodic Operators","authors":"M. Moosapoor","doi":"10.5614/J.MATH.FUND.SCI.2020.52.3.5","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2020.52.3.5","url":null,"abstract":"In this paper, we define subspace-ergodic operators and give examples of these operators. We show that by any given separable infinite-dimensional Banach space, subspace-ergodic operators can be constructed. We demonstrate that an invertible operator T is subspace-ergodic if and only if T-1 is subspace-ergodic. We prove that the direct sum of two subspace-ergodic operators is subspace-ergodic and if the direct sum of two operators is subspace-ergodic, then each of them is subspace-ergodic. Also, we investigate relations between subspace-ergodic and subspace-mixing operators. For example, we show that if T is subspace-mixing and invertible, then Tn and T-n are subspace-ergodic for n∈ℕ.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"18 1","pages":"312-321"},"PeriodicalIF":0.7,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73080652","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 Predictor-Corrector Scheme for Conservation Equations with Discontinuous Coefficients 不连续系数守恒方程的一种预测-校正格式
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.6
Nasrin Okhovati, M. Izadi
In this paper we propose an explicit predictor-corrector finite difference scheme to numerically solve one-dimensional conservation laws with discontinuous flux function appearing in various physical model problems, such as traffic flow and two-phase flow in porous media. The proposed method is based on the second-order MacCormack finite difference scheme and the solution is obtained by correcting first-order schemes. It is shown that the order of convergence is quadratic in the grid spacing for uniform grids when applied to problems with discontinuity. To illustrate some properties of the proposed scheme, numerical results applied to linear as well as non-linear problems are presented.
本文提出了一种明确的预测-校正有限差分格式,用于数值求解各种物理模型问题(如交通流和多孔介质中的两相流)中具有不连续通量函数的一维守恒律。该方法基于二阶MacCormack有限差分格式,通过对一阶格式的修正得到求解。结果表明,当应用于不连续问题时,均匀网格在网格间距上的收敛阶是二次的。为了说明所提出的格式的一些性质,给出了应用于线性和非线性问题的数值结果。
{"title":"A Predictor-Corrector Scheme for Conservation Equations with Discontinuous Coefficients","authors":"Nasrin Okhovati, M. Izadi","doi":"10.5614/J.MATH.FUND.SCI.2020.52.3.6","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2020.52.3.6","url":null,"abstract":"In this paper we propose an explicit predictor-corrector finite difference scheme to numerically solve one-dimensional conservation laws with discontinuous flux function appearing in various physical model problems, such as traffic flow and two-phase flow in porous media. The proposed method is based on the second-order MacCormack finite difference scheme and the solution is obtained by correcting first-order schemes. It is shown that the order of convergence is quadratic in the grid spacing for uniform grids when applied to problems with discontinuity. To illustrate some properties of the proposed scheme, numerical results applied to linear as well as non-linear problems are presented.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"32 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88247293","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: 4
Statistical Forecast of Daily Maximum Air Temperature in Arid Areas at Summertime 干旱地区夏季日最高气温的统计预报
IF 0.7 Q4 MULTIDISCIPLINARY SCIENCES Pub Date : 2020-12-31 DOI: 10.5614/J.MATH.FUND.SCI.2020.52.3.8
M. Al-Jiboori, Mahmoud Jawad Abu Al-Shaeer, Ahemd S. Hassan
Based on historical observations of summers for the period from 2004 to 2018 with a focus on daily maximum and minimum air temperatures and wind speed recorded at 0600 GMT, a non-linear regression hypothesis is developed for forecasting daily maximum air temperature (Tmax) in arid areas such as Baghdad International airport station, which has a hot climate with no cloud cover or rain. Observations with dust storm events were excluded, thus this hypothesis could be used to predict daily Tmax on any day during summers characterized by fair weather. Using mean annual daily temperature range, daily minimum temperature, and the trend of maximum temperature with wind speed, Tmax was forecasted and then compared to those recorded by meteorological instruments. To improve the accuracy of the hypothesis, daily forecast errors, bias, and mean absolute error were analyzed to detect their characteristics through calculating relative frequencies of occurrence. At the end of this analysis, a value of (-0.45ºC) was added to the hypothesis as a bias term.
基于2004 - 2018年夏季的历史观测,以0600 GMT记录的日最高、最低气温和风速为重点,提出了一种非线性回归假设,用于预测巴格达国际机场站等干旱地区的日最高气温(Tmax),该地区气候炎热,无云无雨。排除了沙尘暴事件的观测,因此该假设可用于预测夏季天气晴朗时任意一天的日Tmax。利用年平均日温差、日最低气温和最高气温随风速的变化趋势,预报了Tmax,并与气象仪器记录的Tmax进行了比较。为了提高假设的准确性,分析了日预报误差、偏差和平均绝对误差,通过计算相对发生频率来检测它们的特征。在分析结束时,将(-0.45ºC)的值作为偏倚项添加到假设中。
{"title":"Statistical Forecast of Daily Maximum Air Temperature in Arid Areas at Summertime","authors":"M. Al-Jiboori, Mahmoud Jawad Abu Al-Shaeer, Ahemd S. Hassan","doi":"10.5614/J.MATH.FUND.SCI.2020.52.3.8","DOIUrl":"https://doi.org/10.5614/J.MATH.FUND.SCI.2020.52.3.8","url":null,"abstract":"Based on historical observations of summers for the period from 2004 to 2018 with a focus on daily maximum and minimum air temperatures and wind speed recorded at 0600 GMT, a non-linear regression hypothesis is developed for forecasting daily maximum air temperature (Tmax) in arid areas such as Baghdad International airport station, which has a hot climate with no cloud cover or rain. Observations with dust storm events were excluded, thus this hypothesis could be used to predict daily Tmax on any day during summers characterized by fair weather. Using mean annual daily temperature range, daily minimum temperature, and the trend of maximum temperature with wind speed, Tmax was forecasted and then compared to those recorded by meteorological instruments. To improve the accuracy of the hypothesis, daily forecast errors, bias, and mean absolute error were analyzed to detect their characteristics through calculating relative frequencies of occurrence. At the end of this analysis, a value of (-0.45ºC) was added to the hypothesis as a bias term.","PeriodicalId":16255,"journal":{"name":"Journal of Mathematical and Fundamental Sciences","volume":"135 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73745649","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: 2
期刊
Journal of Mathematical and Fundamental Sciences
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1