American journal of applied mathematics and statistics最新文献_第10页

Using Artificial Neural Network to Predicted Student Satisfaction in E-learning 基于人工神经网络的学生满意度预测

American journal of applied mathematics and statistics Pub Date : 2020-09-14 DOI: 10.12691/AJAMS-8-3-2

D. Alnagar

引用次数: 6

Numerical Solution of Elastohydrodynamic Lubrication for Sliding/Rolling Bearing for Non-newtonian Lubricant 非牛顿润滑滑动/滚动轴承弹流体动力润滑数值解

American journal of applied mathematics and statistics Pub Date : 2020-09-11 DOI: 10.11648/J.AJAM.20200805.13

S. Karimi, M. Kimathi, M. Kinyanjui

{"title":"Numerical Solution of Elastohydrodynamic Lubrication for Sliding/Rolling Bearing for Non-newtonian Lubricant","authors":"S. Karimi, M. Kimathi, M. Kinyanjui","doi":"10.11648/J.AJAM.20200805.13","DOIUrl":"https://doi.org/10.11648/J.AJAM.20200805.13","url":null,"abstract":"There is always a demand in the industry sector to increase the efficiency of machine components to reduce wear and tear. This paper presents the numerical solution to the study of Elastohydrodynamic lubrication point contact for sliding/rolling bearing where the viscosity of the lubricant is non-Newtonian. The assumption that a lubricant is Newtonian reduces validation of the model hence the Reynolds-Eyring model in this research will incorporate the non-Newtonian nature of the lubricant of the bearing. The mathematical model comprises of Reynold-Eyring equation, film thickness, load balance, lubricant viscosity and lubricant density equations together with their boundary conditions. The Reynolds-Eyring equation governing the flow is non-linear hence the finite difference method numerical technique is used to discretize it together with the other two dimensional equations. These equations are solved simultaneously and Matlab software is used simulate the results. The film thickness and pressure profiles with various loads and speeds are presented. The findings note that an increase in load lowers the pressure and film thickness while an increase in the speed results to a direct increase in pressure and film thickness. A pressure spike is also noted at the exit of the bearing.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"24 3 1","pages":"257"},"PeriodicalIF":0.0,"publicationDate":"2020-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90276293","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

Mathematical Epidemiology Model Analysis on the Dynamics of COVID-19 Pandemic COVID-19大流行动态的数学流行病学模型分析

American journal of applied mathematics and statistics Pub Date : 2020-09-09 DOI: 10.11648/J.AJAM.20200805.12

Abayneh Fentie Bezabih, G. K. Edessa, P. Koya

{"title":"Mathematical Epidemiology Model Analysis on the Dynamics of COVID-19 Pandemic","authors":"Abayneh Fentie Bezabih, G. K. Edessa, P. Koya","doi":"10.11648/J.AJAM.20200805.12","DOIUrl":"https://doi.org/10.11648/J.AJAM.20200805.12","url":null,"abstract":"In the present work, Susceptible-Exposed-Infected-Recovered-Susceptible (SEIRS) mathematical model for COVID-19 Pandemic is formulated and analyzed. The positivity, boundedness, and existence of the solutions of the model are proved. The Disease-free equilibrium point and endemic equilibrium points are identified. Local Stability of disease-free Equilibrium point is checked with the help of Next generation matrix. Global stability of endemic equilibrium point is proved using the Concept of Liapunove function. The basic reproduction number for Novel Corona virus pandemic is computed as R0 = (αβΛ) ⁄ [(δ + μ) (β + δ + μ) (γ + δ + μ)] which depend on six different parameters. It is observed that if basic reproduction number is less than one, then number of cases decrease over time and eventually the disease dies out, and if the basic reproduction number is equals to one, then number of cases are stable. On the other hand, if the basic reproduction number is greater than one, then the number of cases increase over time gets worth. Sensitivity analysis of the basic reproduction number is done with respect to each parameter. It is observed that only some parameters Λ, α, β have high impact on the basic reproduction number. Consequently, with real data on the parameter it is helpful to predict the disease persistence or decline in the present situation. Lastly, numerical simulations are given using DEDiscover software to illustrate analytical results.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"31 51","pages":"247"},"PeriodicalIF":0.0,"publicationDate":"2020-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72372132","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: 7

Existence of Traveling Waves for Ratio-dependent Predator-prey System with Nonlocal Diffusion 非局部扩散比例依赖捕食系统行波的存在性

American journal of applied mathematics and statistics Pub Date : 2020-08-26 DOI: 10.11648/J.AJAM.20200805.11

Ke Li, Hongmei Cheng

{"title":"Existence of Traveling Waves for Ratio-dependent Predator-prey System with Nonlocal Diffusion","authors":"Ke Li, Hongmei Cheng","doi":"10.11648/J.AJAM.20200805.11","DOIUrl":"https://doi.org/10.11648/J.AJAM.20200805.11","url":null,"abstract":"In this paper, we study the traveling waves for the ratio-dependent predator-prey model with nonlocal diffusion, which is devoted to the existence and nonexistence of traveling wave solution. This model incorporates the ratio-dependent functional response into the Lotka-Volterra type system, and both species obey the logistic growth. Firstly, we construct a nice pair of upper and lower solutions when the wave speed is greater than the minimal wave speed. Then by applying Schauder's fixed point theorem with the help of suitable upper and lower solutions, we can obtain the existence of traveling waves when the wave speed is greater than the minimal wave speed. Moreover, in order to prove the limit behavior of the traveling waves at infinity, we construct a sequence that converges to the coexistence state. Finally, by using the comparison principle, we obtain the nonexistence of the traveling waves when the wave speed is greater than 0 and less than the minimal wave speed. The difficulty of this paper is to construct a suitable upper and lower solution, which is also the novelty of this paper. Under certain restricted condition, this paper concludes the existence and the nonexistence of the traveling waves for the ratio-dependent predator-prey model with nonlocal diffusion.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"48 1","pages":"236"},"PeriodicalIF":0.0,"publicationDate":"2020-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74424096","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

Multivariate Time Series Analysis to Impact Assessment of Nominal Economic Indicators on Federal Government Revenue and Economic Growth in Nigeria 名义经济指标对尼日利亚联邦政府收入和经济增长影响评估的多元时间序列分析

American journal of applied mathematics and statistics Pub Date : 2020-08-24 DOI: 10.12691/AJAMS-8-3-1

Jonathan Iworiso

{"title":"Multivariate Time Series Analysis to Impact Assessment of Nominal Economic Indicators on Federal Government Revenue and Economic Growth in Nigeria","authors":"Jonathan Iworiso","doi":"10.12691/AJAMS-8-3-1","DOIUrl":"https://doi.org/10.12691/AJAMS-8-3-1","url":null,"abstract":"Nigeria has all it takes to become Sub-Saharan Africa’s largest economy and a key contributor in the global economy as a result of her agricultural and natural resource endowment. Unfortunately, these resources are not sufficiently and efficiently utilized, resulting to some negative economic implications such as underdeveloped economy in world ranking, high unemployment status, poor standard of living, abject poverty, devaluating currency, lack of technological innovations and unstable economy among others. This paper investigates the impact of the Oil and Non-Oil producing sectors to Federal Government Revenue and Economic Growth in Nigeria, using the concept of multivariate time series vector autoregressive (VAR) model. The basic concepts and techniques of multivariate time series modelling and analysis such as Granger Causality tests; Lag Length Selection based on Information Criteria; Augmented Dickey-Fuller and Phillips-Perron Unit Root tests; Kwiatkowski-Phillips-Schmidt-Shin (kpss) Trend & Level Stationarity tests; Sectoral Contributions to Federal Government Revenue, Economic Growth and Growth Rates using Line & Bar Graphs are discussed in detail. The study applied a model for predicting annual Federal Government Revenue and Economic Growth at any time using their respective historical monetary values together with the historical monetary values of the other economic indicators. The empirical findings in this paper revealed that the Federal Government Revenue and Economic Growth are predictable using their historical values together with the historical values of the other indicators. Furtherance to the statistically significant contribution of both the Oil and Non-Oil producing sectors, it is imperative to diversify the Nigerian economy in order to boost Federal Government Revenue, improve the standard of living, alleviate poverty, create employment opportunities and accelerate a long-run sustainable Economic Growth and stability.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"7 1","pages":"69-89"},"PeriodicalIF":0.0,"publicationDate":"2020-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88953253","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

Evacuation Contraflow Problems with Not Necessarily Equal Transit Time on Anti-parallel Arcs 反平行弧线上传输时间不一定相等的疏散反流问题

American journal of applied mathematics and statistics Pub Date : 2020-08-17 DOI: 10.11648/j.ajam.20200804.18

Phanindra Prasad Bhandari, S. Khadka

{"title":"Evacuation Contraflow Problems with Not Necessarily Equal Transit Time on Anti-parallel Arcs","authors":"Phanindra Prasad Bhandari, S. Khadka","doi":"10.11648/j.ajam.20200804.18","DOIUrl":"https://doi.org/10.11648/j.ajam.20200804.18","url":null,"abstract":"An evacuation planning problem provides a plan for existing road topology that sends maximum number of evacuees from risk zone to the safe destination in minimum time period during disasters. The problems with different road network attributes have been studied, and solutions have been proposed in literature. Evacuation planning problems with network contraflow approach, reversing the direction of traffic flow on lanes, with the same transit time on anti-parallel arcs have also been extensively studied. The approach, due to its lane-direction reversal property, can be taken as a potential remedy to mitigate congestion and reduce casualties during emergencies. In this paper, we propose a mathematical optimization contraflow model for the evacuation problem with the case where there may exist different transit time on anti-parallel arcs. We also propose analytical solutions to a few variants of problems, such as maximum dynamic contraflow problem and earliest arrival contraflow problem in which arc reversal capability is allowed only once at time zero. We extend the solution to solve the problems with continuous time settings by applying the natural relation between discrete time flows and continuous time flows. The solution procedures are based on application of temporally repeated flows (TRFs) on modified network, and they solve the problems optimally in strongly polynomial time.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"4 1","pages":"230"},"PeriodicalIF":0.0,"publicationDate":"2020-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75133017","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

Modeling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease 媒体宣传项目对COVID-19大流行疾病传播影响的建模与分析

American journal of applied mathematics and statistics Pub Date : 2020-08-14 DOI: 10.11648/J.AJAM.20200804.17

Fekadu Tadege Kobe, P. Koya

{"title":"Modeling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease","authors":"Fekadu Tadege Kobe, P. Koya","doi":"10.11648/J.AJAM.20200804.17","DOIUrl":"https://doi.org/10.11648/J.AJAM.20200804.17","url":null,"abstract":"This paper proposes and analyses a basic deterministic mathematical model to investigate Modeling and Analysis of effect of awareness program by media on the spread COVID-19 Pandemic Disease. The model has four non-linear differential equations, which describe the effects of awareness programs on the spread of COVID-19 Pandemic diseases such as flu has been proposed and analyzed. In the modeling process assumed that disease spreads due to the contact between susceptible and infective only. The growth rate of awareness programs influencing the population assumed to be proportional to the number of infective individuals. It further, assumed that due to the effect of media, susceptible individuals form a separate class and avoid contact with the infective. The model analyzed by using stability theory of differential equations. The model analysis shows that the spread of a COVID-19 Pandemic disease controlled by using awareness programs but the disease remains Pandemic due to immigration. The models analyzed qualitatively to determine criteria for control of the spread of COVID 19, and used to calculate the basic reproduction R0. The equilibrium of COVID 19 models is determined. In addition to having a disease-free equilibrium, which is globally asymptotically stable when the R0 < 1, the basic COVID 19 model manifest one's possession of (a quality of) the phenomenon of backward bifurcation where a stable disease-free equilibrium co-exists (at the same time) with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The analysis and simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of COVID 19 pandemic were suggest using that awareness programs through the media campaigning are helpful in decreasing the spread of COVID 19 Pandemic diseases by isolating a fraction of susceptible from infective.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"44 3","pages":"223"},"PeriodicalIF":0.0,"publicationDate":"2020-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72438766","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

Application of Response Surface Methodology in Optimization of the Yields of Common Bean ( Phaseolus vulgaris L.) Using Animal Manures 响应面法在菜豆产量优化中的应用使用动物粪便

American journal of applied mathematics and statistics Pub Date : 2020-08-13 DOI: 10.12691/AJAMS-8-2-5

Kimtai Leonard Masai, M. Muraya, Adolphus Wagala

{"title":"Application of Response Surface Methodology in Optimization of the Yields of Common Bean ( Phaseolus vulgaris L.) Using Animal Manures","authors":"Kimtai Leonard Masai, M. Muraya, Adolphus Wagala","doi":"10.12691/AJAMS-8-2-5","DOIUrl":"https://doi.org/10.12691/AJAMS-8-2-5","url":null,"abstract":"The objective of design and analysis of experiments is to optimize a response variable which is influenced by several independent variables. In agriculture, many statistical studies have focused on investigating the effect of application of organic manure on the yield and yield components of crops. However, many of these studies do not try to optimize the application of the manures for maximum productivity, but select the best treatment among the treatment range used. This is mainly due to design and analysis of experiments applied. Therefore, there is a need to apply a statistical method that would establish the effect of the application of organic manures on crop production and in addition optimize the levels of application of these manures for maximum productivity. This study aimed at application of response surface methodology for optimization of the yields of common bean (Phaseolus vulgaris L.) using animal manure. The study was conducted at Chuka University Horticultural Demonstration Farm. The experiment was laid down in a Randomized Complete Block Design. The treatments consisted of three organic manure sources (cattle manure, poultry manure and goat manure) each at three levels (0, 3 and 6 tonnes per ha). Data was collected from six weeks after sowing to physiological maturity. Data was collected on the weight of the grain yield harvested in each experimental plot measured by use of a weighing scale. The data collected was analysis using the R-statistical software. The study findings indicated that animal manures had a significant effect (p < 0.05) on the yield of common beans. The results also showed that the optimum levels of application of the manures in the area of study were 2.1608 t ha-1, 12.7213 t ha-1 and 4.1417 t ha-1 cattle manure, poultry manure and goat manure, respectively. These were the optimum levels that would lead to maximum yield of common beans without an extra cost of input.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"40 1","pages":"64-68"},"PeriodicalIF":0.0,"publicationDate":"2020-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90578789","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

From the Continuity Problem of Set Potential to Georg Cantor Conjecture 从集势的连续性问题到乔治·康托猜想

American journal of applied mathematics and statistics Pub Date : 2020-07-28 DOI: 10.11648/j.ajam.20200804.16

zhu rongrong

{"title":"From the Continuity Problem of Set Potential to Georg Cantor Conjecture","authors":"zhu rongrong","doi":"10.11648/j.ajam.20200804.16","DOIUrl":"https://doi.org/10.11648/j.ajam.20200804.16","url":null,"abstract":"Background in 1878, Cantor puted forward his famous conjecture. Cantor's famous conjecture is whether there is continuity between the potential of the set of natural numbers and the potential of the set of real numbers. In 1900, Hilbert puted forward the first question of 23 famous mathematical problems at the International Congress of mathematicians in Paris. Purpose To study the continuity of set potential between the natural number set and the real number set, so as to provide mathematical support for the study of male gene fragment in human genome. Method The potential is extended by infinite division of sets and differential incremental equilibrium theory. There is a symmetry relation that the smallest element of infinite partition is 2. When a set A corresponds to a subset of a set B one by one, but it can't make A correspond to B one by one, the potential of A is said to be smaller than that of B. If a is the potential of A, and b is the potential of B, then a < b. We use ∼•0 to express the potential of natural number set and ∼•1 to express the potential of real number set. At present, it is not known whether there is a set X, the potential of X satisfies ∼•0 < x < ∼•1. Results There is no continuity problem in the set potential of the natural number set and the real number set, and four mixed potentials can be formed. It belongs to the category of super finite theory. Conclusion Cantor's conjecture is proved that potential of the natural number set and the real number set. That is, the potential of X satisfies ∼ 0 < x < ∼ 1 does not exist.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"8 1","pages":"216"},"PeriodicalIF":0.0,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78095875","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

Minimum Clearance Time on the Prioritized Integrated Evacuation Network 优先综合疏散网络的最小清除时间

American journal of applied mathematics and statistics Pub Date : 2020-07-28 DOI: 10.11648/j.ajam.20200804.15

I. Adhikari, T. N. Dhamala

{"title":"Minimum Clearance Time on the Prioritized Integrated Evacuation Network","authors":"I. Adhikari, T. N. Dhamala","doi":"10.11648/j.ajam.20200804.15","DOIUrl":"https://doi.org/10.11648/j.ajam.20200804.15","url":null,"abstract":"The evacuation planning problem can be viewed as different variants of dynamic flow maximization and time minimization problems. An optimal solution to the latter problem sends a given amount of flow from disaster zones to safe zones in minimum time. We solve this problem on an embedded integrated network of a prioritized primary and a bus-routed secondary sub-networks. For a lexicographically maximum (lex-max) dynamic flow problem, we are given a time horizon and a prioritized network, where we need a feasible dynamic flow that lexicographically maximizes the flow amount leaving each terminal respecting the priority. Here, we use the quickest transshipment partial arc reversal strategy to collect the evacuees in minimum time from the disaster zones to the pickup locations of the primary sub-network. By treating such pickup locations as sources, the available set of transit-buses is assigned in the secondary sub-network to shift the evacuees finally to the sinks on the first-come-first-serve basis. This novel approach proposed here is better suited for the simultaneous flow of evacuees with minimum waiting delay at such pickup locations in the integrated evacuation network topology. The lane reversal strategy significantly reduces the evacuation time, whereas reversing them only partially has an additional benefit that the unused road capacities can be used for supplying emergency logistics and allocating facilities as well.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"11 1","pages":"207"},"PeriodicalIF":0.0,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78502940","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: 5