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Analysis of Cholera model with treatment noncompliance 治疗不遵医嘱的霍乱模型分析
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.23626.2568
M. O. Adewole, T. Faniran
A model for transmission dynamics of cholera infection between human host and environment is developed. We incorporate the proportion of infectious individuals who do not comply with treatment into the human population. Stability analysis, as well as simulation of the model, is done. The results from the stability analysis show that the disease-free equilibrium solution is locally asymptotically stable if R0 1. The technical tool used for our analysis is the theory of competitive systems, compound matrices and stability of periodic orbits. Finally, we investigate, numerically, the influence of seasonal variation on the control of cholera.
建立了霍乱在人类宿主与环境之间传播动力学模型。我们将不接受治疗的感染个体的比例纳入人口。对模型进行了稳定性分析和仿真。稳定性分析结果表明,当R0 = 1时,无病平衡解是局部渐近稳定的。我们分析所用的技术工具是竞争系统理论、复合矩阵理论和周期轨道稳定性理论。最后,我们用数值方法调查了季节变化对霍乱控制的影响。
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引用次数: 4
Analysis of performance of accuracy by adding new features individually using Relief-F and Budget Tree Random Forest (RFBTRF) method 使用Relief-F和预算树随机森林(RFBTRF)方法分别添加新特征对准确率的性能进行分析
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.24724.2808
K. Deepika, M. S. Reddy, N. Pandian, R. D. Kumar
The education is very important for improving the values of students in the society. Different types of features like school related features, student related features, parent related features and teacher related features are influencing the success rate of students in their education. Identification of best features from the huge set of features for analyzing the success or failure of a student is one important challenge to the research community and academicians. The set of features information is collected for preparing the student dataset also one difficult task in the prediction of student academic performance. We collected a student dataset of different schools that contains 4965 student’s information. The dataset contains information of 45 features of different categories such as school related features, student related features, parent related features and teacher related features. All features are not useful for predicting the academic performance of a student. The Data mining methods are applied in various research domains including education to extract hidden information from datasets. The feature selection algorithms are used to determine the best informative features by eliminating the irrelevant and redundant features. In this work, Relief-F Budget Tree Random Forest feature selection algorithm is used to identify the relevant features in the collected school dataset. Five different machine learning models are used to predict the efficiency of feature selection algorithm. The decision tree model shows best accuracy for student academic performance prediction compared with other models. The experimental results display that the RFBTRF algorithm identifies the best informative features for enhancing the accuracy of student academic performance prediction and also reduces the over-fitting issues. The experiment started with individual features and then continued with combination of different categories of features. It was observed that the accuracy of student academic performance prediction is decreased when some categories of features are added to other categories of features.
教育对于提高学生在社会中的价值观是非常重要的。学校相关特征、学生相关特征、家长相关特征、教师相关特征等不同类型的特征影响着学生的教育成功率。从大量的特征中识别出最佳特征来分析学生的成功或失败是研究团体和学者面临的一个重要挑战。收集特征信息集是为了准备学生数据集,这也是预测学生学习成绩的一项困难任务。我们收集了不同学校的学生数据集,其中包含4965名学生的信息。该数据集包含学校相关特征、学生相关特征、家长相关特征和教师相关特征等45个不同类别的特征信息。所有的特征都不能用来预测学生的学习成绩。数据挖掘方法被应用于包括教育在内的各个研究领域,从数据集中提取隐藏信息。特征选择算法通过剔除不相关和冗余的特征来确定最佳信息特征。在这项工作中,使用Relief-F预算树随机森林特征选择算法来识别收集到的学校数据集中的相关特征。使用五种不同的机器学习模型来预测特征选择算法的效率。与其他模型相比,决策树模型对学生学习成绩的预测精度最高。实验结果表明,RFBTRF算法识别出最佳的信息特征,提高了学生学业成绩预测的准确性,并减少了过拟合问题。实验从单个特征开始,然后进行不同类别特征的组合。研究发现,当某些类别的特征添加到其他类别的特征中时,学生学业成绩预测的准确性会降低。
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引用次数: 0
Numerical solutions of nonlinear Burgers‒Huxley equation through the Richtmyer type nonstandard finite difference method 利用richmyer型非标准有限差分法求解非线性Burgers-Huxley方程
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.25004.2878
F. Izadi, H. Najafi, A. Sheikhani
The Burger‒Huxley equation as a well-known nonlinear physical model is studied numerically in the present paper. In this respect, the nonstandard finite difference (NSFD) scheme in company with the Richtmyer’s (3, 1, 1) implicit formula is formally adopted to accomplish this goal. Moreover, the stability, convergence, and consistency analyses of nonstandard finite difference schemes are investigated systematically. Several case studies with comparisons are provided, confirming that the current numerical scheme is capable of resulting in highly accurate approximations.
本文对众所周知的非线性物理模型Burger-Huxley方程进行了数值研究。在这方面,正式采用非标准有限差分(NSFD)格式和richhtmyer(3,1,1)隐式公式来实现这一目标。此外,系统地研究了非标准有限差分格式的稳定性、收敛性和一致性分析。文中提供了几个比较的案例研究,证实了目前的数值方案能够产生高度精确的近似值。
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引用次数: 0
A self-adaptive hybrid inertial algorithm for split feasibility problems in Banach spaces Banach空间分裂可行性问题的自适应混合惯性算法
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.23402.2532
A. O. Owolabi, A. Taiwo, L. Jolaoso, O. Mewomo
In this paper, we introduce a new self-adaptive hybrid algorithm of inertial form for solving Split Feasibility Problem (SFP) which also solve a Monotone Inclusion Problem (MIP) and a Fixed Point Problem (FPP) in $p$-uniformly convex and uniformly smooth Banach spaces. Motivated by the self-adaptive technique, we incorporate the inertial technique to accelerate the convergence of the proposed method. Under standard and mild assumption of monotonicity of the SFP associated mapping, we establish the strong convergence of the sequence generated by our algorithm which does not require a prior knowledge of the norm of the bounded linear operator. Some numerical examples are presented to illustrate the performance of our method as well as comparing it with some related methods in the literature.
本文引入了一种新的惯性形式的自适应混合算法来求解分裂可行性问题(SFP),该算法还解决了$p$-一致凸和一致光滑Banach空间中的单调包含问题(MIP)和不动点问题(FPP)。在自适应技术的激励下,我们引入了惯性技术来加快该方法的收敛速度。在SFP相关映射的标准和温和的单调性假设下,我们建立了该算法生成的序列的强收敛性,该序列不需要事先知道有界线性算子的范数。给出了一些数值算例来说明本文方法的性能,并与文献中的一些相关方法进行了比较。
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引用次数: 0
Growth estimate for rational functions with prescribed poles and restricted zeros 具有规定极点和限制零点的有理函数的增长估计
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2021.23465.2544
Ishfaq Dar, N. A. Rather, Mohd Shafi Wani
Let $r(z)= f(z)/w(z)$ where $f(z)$ be a polynomial of degree at most $n$ and $w(z)= prod_{j=1}^{n}(z-a_{j})$, $|a_j|> 1$ for $1leq j leq n.$ If the rational function $r(z)neq 0$ in $|z|< k$, then for $k =1$, it is known that $$left|r(Rz)right|leq left(frac{left|B(Rz)right|+1}{2}right) underset{|z|=1}sup|r(z)|,,, for ,,,|z|=1$$ where $ B(z)= prod_{j=1}^{n}left{(1-bar{a_{j}}z)/(z-a_{j})right}$. In this paper, we consider the case $k geq 1$ and obtain certain results concerning the growth of the maximum modulus of the rational functions with prescribed poles and restricted zeros in the Chebyshev norm on the unit circle in the complex plane.
让$ r (z) = f (z) / w (z), f (z)美元是美元最多$ n次多项式和w美元(z) = prod_ {j = 1} ^ {n} (z-a_ {j})美元,美元| a_j | > 1美元1 leq j leq n。如果美元有理函数r (z) neq 0美元在z $ | | < k美元,那么对于k = 1美元,众所周知,$ $ | r (Rz)左右| leq左(压裂{左| B (Rz)右| + 1}{2})支撑{| | z = 1}一口r (z) |……| | | z = 1 $ $ $ B (z) = prod_ {j = 1} ^ {n}左{(1块{现代{j}} z) / (z-a_ {j})右}$。本文考虑了复平面上单位圆上具有规定极点和限制零的有理函数在切比雪夫范数上的最大模的增长问题,得到了一些结果。
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引用次数: 0
A landscape view of deepfake techniques and detection methods 深度伪造技术和检测方法的概览
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5580
Ahmed S Abdulreda, Ahmed J. Obaid
Deep fakes is the process of changing the information of the image or video with different techniquesand methods that start with humor and fun and sometimes reach economic, political and social goalssuch as counterfeiting, financial fraud or impersonation. The data for this field is still increasing at avery high rate. And therefore. The process of combating and exploring them is a very difficult task.In this paper, we conducted a review of previous studies and what researchers dealt with on thesubject of deep fakes. Explain the concepts of deepfakes. Counterfeiting methods and techniquesand patterns through the techniques and algorithms used in counterfeiting. Some deepfake detectionalgorithms.
深度造假是用不同的技术和方法改变图像或视频信息的过程,这些技术和方法从幽默和有趣开始,有时达到经济、政治和社会目的,如伪造、金融欺诈或冒充。这一领域的数据仍在以非常高的速度增长。因此。对抗和探索它们的过程是一项非常艰巨的任务。在本文中,我们对以前的研究进行了回顾,以及研究人员对深度伪造的研究。解释深度造假的概念。通过在伪造中使用的技术和算法伪造方法和技术和模式。一些深度造假检测算法。
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引用次数: 11
Uniform stability of integro-differential inequalities with nonlinear control inputs and delay 具有非线性控制输入和时滞的积分-微分不等式的一致稳定性
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5509
S. Hasan, Maan A. Rasheed, T. J. Aldhlki
In this paper, the uniform stability for the solution of integro-differential inequalities, with nonlinear control inputs and delay functions, is investigated by using some inequality estimator conditions. Moreover, we apply the obtained results on the solutions of some proposed classes of integro-differential inequalities with nonlinear control input functions as problem formulations examples. The results show that the stability technique used in this work is efficient and robust and it can be applied to a general class and various types of integro-differential inequalities.
本文利用不等式估计条件,研究了一类具有非线性控制输入和时滞函数的积分-微分不等式解的一致稳定性。此外,我们还将所得结果作为问题公式化的例子,应用于一类具有非线性控制输入函数的积分-微分不等式的解。结果表明,本文所采用的稳定性技术是有效的、鲁棒的,可以应用于一般类型和各种类型的积分微分不等式。
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引用次数: 1
Forecasting time series using Vector Autoregressive Model 用向量自回归模型预测时间序列
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5521
Lemya Taha Abdullah
In this study, a vector Autoregressive model was used to analysis the relationship between two time series as well as forecasting. Two financial time series have been used, which are a series of global monthly oil price and global monthly gold price in dollars for a period from January 2015 to Jun 2019. It has 54 monthly values, where the data has been transferred to get the Stationarity, Diekey Fuller test for the Stationarity was conducted. The best three order for model was determined through a standard Akaike information AIC, it is VAR(7) , VAR(8) and VAR(10) respectively. The comparison was made between selected orders by AIC based on the accuracy measure and mean square error (MSE). It turns out that less MSE value of the VAR(10) model. Some tests were conducted like Lagrange-multiplier, Portmanteau, Jarque - Bera to residuals for the selected model, with forecasting for the VAR(10) model for the period from Jun 2019 to Jun 2021 , It is 24 monthly value. It turns out that less MSE for forecasting value for oil price series is to VAR(7) model and less MSE for forecasting value for gold price series is VAR(10) model. The results have been computed through the Stata program.
本研究采用向量自回归模型分析两个时间序列之间的关系,并进行预测。我们使用了两个金融时间序列,分别是2015年1月至2019年6月期间以美元计算的全球月度油价和全球月度黄金价格。它有54个月的值,其中的数据已经转移到平稳性,对平稳性进行了Diekey Fuller检验。通过标准赤池信息AIC确定了模型的最佳3阶,分别为VAR(7)、VAR(8)和VAR(10)。在精度度量和均方误差(MSE)的基础上,对AIC所选订单进行了比较。结果表明,VAR(10)模型的MSE值较小。对所选模型进行拉格朗日乘数、Portmanteau、Jarque - Bera等残差检验,对VAR(10)模型进行2019年6月至2021年6月的预测,为24个月值。结果表明,石油价格序列预测值的MSE小于VAR(7)模型,黄金价格序列预测值的MSE小于VAR(10)模型。通过Stata程序对结果进行了计算。
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引用次数: 1
Mathematical optimization modeling for estimating the incidence of clinical diseases 临床疾病发病率估计的数学优化建模
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5470
Mazin Kareem Kadhim, F. A. Wahbi, A. Alridha
The notion that infectious disease transmission and dissemination are governed by rules that may be expressed mathematically is not new. In fact, the nonlinear dynamics of infectious illness transmission were only fully recognized in the twentieth century. However, with the Coronavirus outbreak, there is a lot of discussion and study regarding the origin of the epidemic and how it spreads before all vulnerable people are infected, as well as ideas about how the disease virulence changes during the epidemic. In this paper, we provide some critical mathematical models which are SIR and SIS and their differences in approach for the interpretation and transmission of viruses and other epidemics as well as formulate the optimal control problem with vaccinations.
传染病的传播和传播受到可以用数学表达的规则的支配,这一概念并不新鲜。事实上,传染病传播的非线性动力学直到20世纪才得到充分认识。然而,随着冠状病毒的爆发,关于疫情的起源以及在所有弱势群体被感染之前如何传播,以及疫情期间疾病毒力如何变化的想法,有很多讨论和研究。本文提供了一些关键的数学模型,即SIR和SIS及其在解释和传播病毒和其他流行病的方法上的差异,并提出了接种疫苗的最优控制问题。
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引用次数: 6
A lightweight intrusion detection system based on RSSI for sybil attack detection in wireless sensor networks 一种基于RSSI的轻量级入侵检测系统,用于无线传感器网络中的符号攻击检测
Q4 Mathematics Pub Date : 2022-01-01 DOI: 10.22075/IJNAA.2022.5491
M. Sadeghizadeh
As the prevalence of Wireless Sensor Networks (WSNs) grows in the many mission-critical applications such as military and civil domains, the need for network security has become a critical concern. The inherently vulnerable characteristics of WSNs appoint them susceptible to various types of attacks. A particularly harmful attack against sensor and ad hoc networks is known as the Sybil attack, where a node illegitimately claims multiple identities. Sybil attacks can severely deteriorate the network performance and compromise the security by disrupting many networking protocols. This paper presents a lightweight Intrusion detection system (IDS) based on received signal strength indicator (RSSI) readings of messages to protect WSNs against Sybil attack. Our idea in the proposed method is based on the local calculation (within each node and without the need for communications) the RSSI ratio from the suspected nodes to the Sybil attack. The obtained results demonstrate that Proposed System achieves high detection accuracy, low false alarm rate and low energy consumption appointing it a promising IDS candidate for wireless sensor networks.
随着无线传感器网络(WSNs)在军事和民用领域等许多关键任务应用中的普及,对网络安全的需求已成为一个关键问题。无线传感器网络固有的易受攻击的特性使其容易受到各种类型的攻击。针对传感器和自组织网络的特别有害的攻击被称为Sybil攻击,其中节点非法声明多个身份。Sybil攻击会破坏多种网络协议,严重影响网络性能和安全性。本文提出了一种基于接收信号强度指示器(RSSI)读取消息的轻量级入侵检测系统(IDS),以保护wsn免受Sybil攻击。我们在提出的方法中的想法是基于本地计算(在每个节点内并且不需要通信)可疑节点对Sybil攻击的RSSI比率。实验结果表明,该系统具有较高的检测精度、较低的虚警率和较低的能耗,是无线传感器网络检测系统的理想选择。
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引用次数: 3
期刊
International Journal of Nonlinear Analysis and Applications
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