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Application of an age-structured deterministic endemic model for disease control in Nigeria 年龄结构确定性地方性疾病控制模型在尼日利亚的应用
Engineering Mathematics Letters Pub Date : 2020-04-28 DOI: 10.28919/eml/4668
Victor A. Okhuese, Oduwole Henry Kehinde
{"title":"Application of an age-structured deterministic endemic model for disease control in Nigeria","authors":"Victor A. Okhuese, Oduwole Henry Kehinde","doi":"10.28919/eml/4668","DOIUrl":"https://doi.org/10.28919/eml/4668","url":null,"abstract":"This paper focuses on the development and analysis of the endemic model for disease control in an aged-structured population in Nigeria. Upon the model framework development, the model equations were transformed into proportions with rate of change of the different compartments forming the model, thereby reducing the model equations from twelve to ten homogenous ordinary differential equations. The model exhibits two equilibria, the endemic state and the disease-free equilibrium state while successfully achieving a Reproductive Number R_0=0. The deterministic endemic susceptible-exposed-infected-removed-undetectable=untransmissible-susceptible (SEIRUS) model is analyzed for the existence and stability of the disease-free equilibrium state. We established that a disease-free equilibrium state exists and is locally asymptotically stable when the basic reproduction number 0≤R_0<1. Furthermore, numerical simulations were carried to complement the analytical results in investigating the effect treatment rate and the net transmission rate on recovery for both juvenile and adult sub-population in an age-structured population.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122925297","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
Study of a new class for higher-order derivatives of harmonic multivalent functions 调和多价函数的一类新的高阶导数的研究
Engineering Mathematics Letters Pub Date : 2019-12-03 DOI: 10.28919/eml/3940
A. Wanas, F. Maghool
{"title":"Study of a new class for higher-order derivatives of harmonic multivalent functions","authors":"A. Wanas, F. Maghool","doi":"10.28919/eml/3940","DOIUrl":"https://doi.org/10.28919/eml/3940","url":null,"abstract":"In this paper, we define and investigate a new class for higher-order derivatives of harmonic multivalent functions. We obtain coefficient inequalities, distortion bounds, extreme points, convex combination. Our results extend corresponding previously known results.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"57 34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115834174","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
Atmospheric propagation of high energy lasers 高能激光的大气传播
Engineering Mathematics Letters Pub Date : 2019-08-04 DOI: 10.28919/eml/3888
Jonathan Gustafsson, B. Akers, Jonah A. Reeger, Srihari Y. Sritharan
{"title":"Atmospheric propagation of high energy lasers","authors":"Jonathan Gustafsson, B. Akers, Jonah A. Reeger, Srihari Y. Sritharan","doi":"10.28919/eml/3888","DOIUrl":"https://doi.org/10.28919/eml/3888","url":null,"abstract":"High Energy Laser (HEL) propagation through turbulent atmosphere is examined via numerical simulation. The beam propagation is modeled with the paraxial equation, which in turn is written as a system of equations for a quantum fluid, via the Madelung transform. A finite volume solver is applied to the quantum fluid equations, which supports sharp gradients in beam intensity. The atmosphere is modeled via a coupled advection-diffusion equation whose initial data have Kolmogorov spectrum. In this model the combined effects of thermal blooming, beam slewing, and deep turbulence are simulated.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"164 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123950750","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 the class of two dimensional Kolmogorov systems 关于二维Kolmogorov系统的一类
Engineering Mathematics Letters Pub Date : 2019-08-02 DOI: 10.28919/eml/3939
R. Boukoucha, Mouna Yahiaoui
{"title":"On the class of two dimensional Kolmogorov systems","authors":"R. Boukoucha, Mouna Yahiaoui","doi":"10.28919/eml/3939","DOIUrl":"https://doi.org/10.28919/eml/3939","url":null,"abstract":"In this paper we charaterize the integrability and the non-existence of limit cycles of Kolmogorov systems of the form [ left{ begin{array}{l} x^{prime }=xleft( Pleft( x,yright) +Rleft( x,yright) ln leftvert frac{Aleft( x,yright) }{Bleft( x,yright) }rightvert right) , y^{prime }=yleft( Qleft( x,yright) +Rleft( x,yright) ln leftvert frac{Aleft( x,yright) }{Bleft( x,yright) }rightvert right) , end{array} right. ] where $Aleft(x,yright)$, $Bleft(x,yright)$, $Pleft( x,yright)$, $Qleft(x,yright)$, $Rleft(x,yright)$ are homogeneous polynomials of degree $a$, $a$, $n$, $n$, $m$ respectively. Concrete example exhibiting the applicability of our result is introduced.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"29 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128371972","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
Nimble randomization device for estimating a rare sensitive attribute using Poisson distribution 一种利用泊松分布估计稀有敏感属性的灵活随机化装置
Engineering Mathematics Letters Pub Date : 2019-06-26 DOI: 10.28919/eml/4159
T. A. Tarray
{"title":"Nimble randomization device for estimating a rare sensitive attribute using Poisson distribution","authors":"T. A. Tarray","doi":"10.28919/eml/4159","DOIUrl":"https://doi.org/10.28919/eml/4159","url":null,"abstract":"This paper addresses the problem of estimating the mean of the number of persons possessing a rare sensitive attribute utilizing the Poisson distribution in survey sampling. Properties of the proposed randomized response model have been studied along with recommendations. It is also shown that the proposed model is more efficient than Land et al. (2011) when the proportion of persons possessing a rare unrelated attribute is known. Numerical illustration is also given in support of the present study.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124203567","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
Stability of semilinear discrete inclusions in a Hilbert space 希尔伯特空间中半线性离散包涵的稳定性
Engineering Mathematics Letters Pub Date : 2019-06-09 DOI: 10.28919/eml/4222
M. Gil'
{"title":"Stability of semilinear discrete inclusions in a Hilbert space","authors":"M. Gil'","doi":"10.28919/eml/4222","DOIUrl":"https://doi.org/10.28919/eml/4222","url":null,"abstract":"In this paper we consider a class of semilinear discrete (difference) inclusions in a Hilbert space. As is well-known, the discrete inclusions, in particular, are mathematical models of discrete-time switched systems. For the considered inclusions we suggest explicit exponential stability conditions. Our results are new even in the finite-dimensional case. An illustrative example is given.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114848144","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
Fuzzy subordination results for fractional integral associated with generalized Mittag-Leffler function 广义Mittag-Leffler函数分数阶积分的模糊隶属性
Engineering Mathematics Letters Pub Date : 2019-05-22 DOI: 10.28919/eml/4073
A. Wanas, A. Majeed
{"title":"Fuzzy subordination results for fractional integral associated with generalized Mittag-Leffler function","authors":"A. Wanas, A. Majeed","doi":"10.28919/eml/4073","DOIUrl":"https://doi.org/10.28919/eml/4073","url":null,"abstract":"By making use of fractional integral, we study fuzzy subordination methods to obtain some interesting results of operator defined by generalized Mittag-Leffler function in the open unit disk.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121165106","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
An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients 分数阶微积分在一类负系数多价解析函数上的应用
Engineering Mathematics Letters Pub Date : 2019-05-14 DOI: 10.28919/eml/4003
A. Wanas, S. Mahmood
{"title":"An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients","authors":"A. Wanas, S. Mahmood","doi":"10.28919/eml/4003","DOIUrl":"https://doi.org/10.28919/eml/4003","url":null,"abstract":"The object of this paper to study an application of the fractional calculus techniques for a certain class 𝑀𝑅(𝑝, 𝑚, 𝜀, 𝜎, 𝜇) of multivalent analytic functions with negative coefficients in the open unit disk. Distortiontheorems for the fractional derivative and fractional integration are obtained. Also, we gain results about coefficientinequality, neighborhood property and radii of starlikeness and convexity","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127256541","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
Some results for strong differential subordination of analytic functions defined by differential operator 由微分算子定义的解析函数的强微分从属性的一些结果
Engineering Mathematics Letters Pub Date : 2019-05-07 DOI: 10.28919/eml/4118
Asraa Abdul Jaleel Husien
{"title":"Some results for strong differential subordination of analytic functions defined by differential operator","authors":"Asraa Abdul Jaleel Husien","doi":"10.28919/eml/4118","DOIUrl":"https://doi.org/10.28919/eml/4118","url":null,"abstract":"The purpose of this paper is to introduce some results associated with the strong differential subordinations of analytic functions defined in the open unit disk and closed unit disk of the complex plane.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128178341","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 effect of immune responses in HCV disease progression 免疫反应在HCV疾病进展中的作用
Engineering Mathematics Letters Pub Date : 2019-05-01 DOI: 10.28919/eml/3992
A. Chatterjee, M. Singh, B. Kumar
{"title":"The effect of immune responses in HCV disease progression","authors":"A. Chatterjee, M. Singh, B. Kumar","doi":"10.28919/eml/3992","DOIUrl":"https://doi.org/10.28919/eml/3992","url":null,"abstract":"In this research article, the discreet role of Cytotoxic T Lymphocyte (CTL) during the Hepatitis C Virus infection has been studied. To explore the implications of the CTL responses, we have formulated a model considering the dynamics of the population of uninfected liver cells, infected liver cells, HCV and CTL responses. Since the actual incidence rate is probably not linear over the entire range of virus and uninfected liver cells. So, here we have assumed that there exists a saturation effect in disease transmission rate. We have analysed the model by both analytical as well as numerical approaches. We have found out the threshold condition that determines the existence and stability of the endemic equilibrium.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127471692","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
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