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Maclaurin’s inequalities for functions whose first derivatives are preinvex 一阶导数为前逆函数的麦克劳林不等式
Journal of Mathematical Analysis and Modeling Pub Date : 2022-11-26 DOI: 10.48185/jmam.v3i2.449
B. Meftah, Nouha Allel
{"title":"Maclaurin’s inequalities for functions whose first derivatives are preinvex","authors":"B. Meftah, Nouha Allel","doi":"10.48185/jmam.v3i2.449","DOIUrl":"https://doi.org/10.48185/jmam.v3i2.449","url":null,"abstract":"In this paper, using a new identity, we study one of the famous Newton-Cotes three-point quadraturerules. More precisely Maclaurin’s quadrature rule, for which we establish the error estimate of this methodunder the constraint that the first derivatives belong to the class of preinvex functions. We also give someapplications to special means as applications. We believe that this new studied inequality and the resultsobtained in this article will further inspire intrigued researchers.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115396003","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
Endemic Equilibrium and Forward Bifurcation in the Mathematical Model for Using Wolbachia to Control Spread of Zika Virus Disease 沃尔巴克氏体控制寨卡病毒病传播数学模型中的地方性平衡和正向分岔
Journal of Mathematical Analysis and Modeling Pub Date : 2022-11-19 DOI: 10.48185/jmam.v3i2.463
M. Anyanwu
{"title":"Endemic Equilibrium and Forward Bifurcation in the Mathematical Model for Using Wolbachia to Control Spread of Zika Virus Disease","authors":"M. Anyanwu","doi":"10.48185/jmam.v3i2.463","DOIUrl":"https://doi.org/10.48185/jmam.v3i2.463","url":null,"abstract":"This paper focuses on the use of wolbachia to control the spread of zika virus disease. Zika virus disease is an arboviral disease that spreads through bites of female mosquitoes in the aedes family especially, aedes aegypti. Experimental studies have indicated that wolbachia could be used to prevent the spread of zika virus disease by infecting aedes aegypti with wolbachia in a laboratory and releasing them in the wild to mate with the wild aedes aegypti. \u0000A system of nonlinear ordinary differential equations is used to model the use of wolbachia to stop the spread of zika virus disease in the human and mosquito populations. as well as the population of wolbachia-infected aedes aegypti used as control. It is shown through bifurcation analysis that the model exhibits forward bifurcation, which confirms that a unique endemic equilibrium exists in the model when the control reproduction number, $ mathcal{R}_c>1$. The existence of forward bifurcation in the model means that $ mathcal{R}_c<1$ is enough to guarantee eradication of zika virus disease using wolbachia as a biocontrol. Hence, the spread of zika virus disease can be controlled irrespective of the initial sizes of infected human and mosquito populations","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121386259","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
D-precompact Sets in D-Metric Spaces d -度量空间中的d -预紧集
Journal of Mathematical Analysis and Modeling Pub Date : 2022-10-17 DOI: 10.48185/jmam.v3i2.438
Hussain Wahish, Amin Saif
{"title":"D-precompact Sets in D-Metric Spaces","authors":"Hussain Wahish, Amin Saif","doi":"10.48185/jmam.v3i2.438","DOIUrl":"https://doi.org/10.48185/jmam.v3i2.438","url":null,"abstract":"The aim of this paper is to define and emphasize a strong form of D-compact sets in generalized metricspaces, namely D-precompact sets. Also with other sets, we shall study the relationships. Furthermore, wegive the notions of sequentially D-precompact sets.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123024970","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
Thermo-diffusion effect on magnetohydrodynamics flow of fractional Casson fluid with heat generation and first order chemical reaction over a vertical plate 热扩散效应对分级卡森流体在垂直板上产生热量和一级化学反应的磁流体力学流动的影响
Journal of Mathematical Analysis and Modeling Pub Date : 2022-10-17 DOI: 10.48185/jmam.v3i2.322
M. Ramzan, Mudassar Nazar
{"title":"Thermo-diffusion effect on magnetohydrodynamics flow of fractional Casson fluid with heat generation and first order chemical reaction over a vertical plate","authors":"M. Ramzan, Mudassar Nazar","doi":"10.48185/jmam.v3i2.322","DOIUrl":"https://doi.org/10.48185/jmam.v3i2.322","url":null,"abstract":"Analytical solution of thermo diffusion effect on magnetohydrodynamics flow of fractionalized Cassonfluid over a vertical plate immersed in a porous media is obtained. Moreover, in the model of the problem, additional effects, like a chemical reaction, heat source/sink, and thermal radiation are also considered.The model is solved by three approaches, namely, Atangana-Baleanu, Caputo-Fabrizio, and Caputo fractionalderivative of non-integer order γ. The governing dimensionless equations for temperatures, concentrations,and velocities are solved using Laplace transform method and compared graphically. The effects of different parameters like fractional parameter γ, Thermo diffusion Sr, and magnetic parameter M are discussedthrough numerous graphs. Furthermore, comparisons among ordinary and fractionalized velocity fields arealso drawn. It is found that the velocity obtained with Atangana-Baleanu fractional derivative is less than thatobtained by Caputo, Caputo-Fabrizio, or ordinary derivatives.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128923450","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
Male Circumcision: A Means to Reduce HIV Transmission between Truckers and Female Sex Workers in Kenya 男性包皮环切术:减少肯尼亚卡车司机和女性性工作者之间艾滋病毒传播的一种手段
Journal of Mathematical Analysis and Modeling Pub Date : 2022-06-21 DOI: 10.48185/jmam.v3i1.424
A. M. Kimulu, W. Mutuku, S. Mwalili, D. Malonza, A. Oke
{"title":"Male Circumcision: A Means to Reduce HIV Transmission between Truckers and Female Sex Workers in Kenya","authors":"A. M. Kimulu, W. Mutuku, S. Mwalili, D. Malonza, A. Oke","doi":"10.48185/jmam.v3i1.424","DOIUrl":"https://doi.org/10.48185/jmam.v3i1.424","url":null,"abstract":"Kenya records over 1.5 million cases of HIV-infected people with a prevalence of 4.8% among adultsin 2019, ranking Kenya as the seventh-largest HIV population in the world. A recent study showed that55.9% of Kenyan truckers pay for sex in while 46.6% had a regular partner along their trucking route inaddition to a wife or girlfriend at home. The complexity in the sexual network of Truckers, which can be aconduit for the widespread of HIV, necessitated the need to better understand the dynamics of transmissionof HIV/AIDS between truckers and female sex workers. In this study, a model is formulated for HIV/AIDSdynamics along the Northern corridor highway in Kenya. The reproduction number, disease-free equilibriumand endemic equilibrium points were determined and their stabilities were also determined using the nextgenerationmatrix method. The disease-free equilibrium is stable when R0u < 1, R0c < 1 and R0f < 1 whilethe endemic equilibrium point is stable when R0u > 1, R0c > 1 and R0f > 1. It is found that circumcision canbe used as an intervention to minimize the infection of HIV among truckers and female sex workers.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127652543","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
Mathematical Modeling: A Study of Corruption among Students of Nigeria Tertiary Institutions 数学建模:尼日利亚高等院校学生腐败的研究
Journal of Mathematical Analysis and Modeling Pub Date : 2022-06-15 DOI: 10.48185/jmam.v3i1.448
A. Adeniran, O. Olanegan, O. S. Akinsola
{"title":"Mathematical Modeling: A Study of Corruption among Students of Nigeria Tertiary Institutions","authors":"A. Adeniran, O. Olanegan, O. S. Akinsola","doi":"10.48185/jmam.v3i1.448","DOIUrl":"https://doi.org/10.48185/jmam.v3i1.448","url":null,"abstract":"Corruption is a slow poison damaging students and consequently societies and nations, virtually, all students of Nigerian tertiary institutions are exposed to corruption. In this study, an attempt is made to formulate the dynamics of corruption among students of Nigerian tertiary institutions. We describe mathematical modeling of corruption among students using an epidemiological compartment model. The population at risk of adopting corrupt ideology was divided into four compartments: S(t) is the susceptible class, E(t) is the Exposed class, C(t) is the Corrupted class and P(t) is the punished class. The positivity and boundedness of the model were established. The model possesses both corruption-free and endemic equilibrium. Likewise, the model exhibits threshold dynamics characterized by the basic reproduction number R0. The numerical implementation of the model reveals that corruption will persist among Nigeria students if the root cause were not eradicated.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"612 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126897082","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
Equivalence of the ap-Sequential Henstock and ap-Sequential Topological Henstock Integrals 序贯Henstock积分与序贯拓扑Henstock积分的等价性
Journal of Mathematical Analysis and Modeling Pub Date : 2022-06-15 DOI: 10.48185/jmam.v3i1.332
V. O. Iluebe, Adesanmi Alao Mogbademu
{"title":"Equivalence of the ap-Sequential Henstock and ap-Sequential Topological Henstock Integrals","authors":"V. O. Iluebe, Adesanmi Alao Mogbademu","doi":"10.48185/jmam.v3i1.332","DOIUrl":"https://doi.org/10.48185/jmam.v3i1.332","url":null,"abstract":"Let $X$ be a topological space and $Omega subset X$. Suppose $f:Omegarightarrow X$ is a function defined in a complete space $ Omega $ and $ tau $ is a vector in $ mathbb{R} $ taking values in $X$. Suppose $ f $ is ap-Sequential Henstock integrable with respect to $tau$, is $ f $ ap-Sequential Topological Henstock integrable with respect to $tau$? It is the purpose of this paper to proffer affirmative answer to this question.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126323079","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
Completely positive map from M4(C) to M5(C) on positive semidefinite Matrices 正半定矩阵上M4(C)到M5(C)的完全正映射
Journal of Mathematical Analysis and Modeling Pub Date : 2022-04-01 DOI: 10.48185/jmam.v3i1.441
Winda C. Akatch, N. B. Okelo, Omolo N. Ong’ati
{"title":"Completely positive map from M4(C) to M5(C) on positive semidefinite Matrices","authors":"Winda C. Akatch, N. B. Okelo, Omolo N. Ong’ati","doi":"10.48185/jmam.v3i1.441","DOIUrl":"https://doi.org/10.48185/jmam.v3i1.441","url":null,"abstract":"Positive maps are essential in the description of quantum systems. However, characterization of the structure of the set of all positive maps is a challenge in mathematics and mathematical physics. We construct a linear positive map from M4 to M5 and state the conditions under which they are positive and completely positive (copositivity of positive).","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115681115","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 solution of fifth and sixth order linear and non linear boundary value problems by the Improved Residual Power Series Method 用改进的残差幂级数法求解五阶和六阶线性和非线性边值问题
Journal of Mathematical Analysis and Modeling Pub Date : 2022-03-21 DOI: 10.48185/jmam.v3i1.386
Muhammad Gul, Hamid Khan, Abid Ali
{"title":"The solution of fifth and sixth order linear and non linear boundary value problems by the Improved Residual Power Series Method","authors":"Muhammad Gul, Hamid Khan, Abid Ali","doi":"10.48185/jmam.v3i1.386","DOIUrl":"https://doi.org/10.48185/jmam.v3i1.386","url":null,"abstract":"In this paper we solve some fifth and sixth order boundary value problems (BVPs) by the improved residual power series method (IRPSM). IRPSM is a method that extends the residual power series method (RPSM) to (BVPs) without requiring exact solution. The presented method is capable to handle both linear and nonlinear boundary value problems (BVPs) effectively. The solutions provided by IRPSM are compared with the actual solution and with the existing solutions. The results demonstrate that the approach is extremely accurate and dependable.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121143602","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: 3
Uniqueness of continuous solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order 变阶$q$-Hilfer分数阶混合积分-差分方程连续解的唯一性
Journal of Mathematical Analysis and Modeling Pub Date : 2021-12-30 DOI: 10.48185/jmam.v2i3.421
Idris Ahmed, Norravich Limpanukorn, M. J. Ibrahim
{"title":"Uniqueness of continuous solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order","authors":"Idris Ahmed, Norravich Limpanukorn, M. J. Ibrahim","doi":"10.48185/jmam.v2i3.421","DOIUrl":"https://doi.org/10.48185/jmam.v2i3.421","url":null,"abstract":"In this paper, the authors introduced a novel definition based on Hilfer fractional derivative, which name $q$-Hilfer fractional derivative of variable order. And the uniqueness of solution to $q$-Hilfer fractional hybrid integro-difference equation of variable order of the form eqref{eq:varorderfrac} with $0 < alpha(t) < 1$, $0 leq beta leq 1$, and $0 < q < 1$ is studied. Moreover, an example is provided to demonstrate the result.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124724706","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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