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SEIR MODEL SIMULATION WITH PART OF INFECTED MOSQUITO EGGS 用部分受感染蚊卵进行Seir模型模拟
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1641-1652
James Uriel Livingstone Mangobi
Dengue hemorrhagic fever (DHF) is an acute febrile disease caused by the dengue virus, which is transmitted by various species of Aedes mosquitoes. The SEIR model is a mathematical model for studying the spread of dengue fever. In this model, it is assumed that some mosquito eggs have been infected because infected mosquitoes can transmit the virus to their eggs. The main vector of this disease is the Aedes albopictus mosquito. Analysis was carried out to assess the stability of the equilibrium point, and numerical simulations were carried out to see changes in population numbers due to changes in parameter values. A disease-free equilibrium (DFE) point, which is stable given the basic reproductive number . An endemic point whose stability is guaranteed if the value . The numerical simulations show that an increasing mosquito mortality rate decreases the number of exposed, susceptible humans. Furthermore, an increase in the average bite of an infected mosquito will increase the number of exposed, susceptible humans. For the mosquito population, increasing mosquitoes’ mortality rate will decrease the number of exposed, susceptible mosquitoes. Finally, an increase in the average bite of an infected mosquito will increase the number of exposed, susceptible mosquitoes.
登革出血热(DHF)是一种由登革热病毒引起的急性发热性疾病,由多种伊蚊传播。SEIR模型是研究登革热传播的数学模型。在这个模型中,假设一些蚊子卵已经被感染,因为被感染的蚊子可以将病毒传播到它们的卵上。该病的主要传播媒介是白纹伊蚊。通过分析来评估平衡点的稳定性,并通过数值模拟来观察参数值变化对种群数量的影响。给定基本繁殖数时是稳定的无病平衡点。一个地方性的点,其稳定性得到保证,如果值。数值模拟表明,蚊子死亡率的增加减少了接触易感人类的人数。此外,受感染蚊子平均叮咬次数的增加将增加受感染的易感人类的数量。对于蚊子种群来说,增加蚊子的死亡率将减少暴露的易感蚊子的数量。最后,受感染蚊子平均叮咬次数的增加将增加暴露的易受感染蚊子的数量。
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引用次数: 0
A COMPARISON OF LOGISTIC REGRESSION AND GEOGRAPHICALLY WEIGHTED LOGISTIC REGRESSION (GWLR) ON COVID-19 DATA IN WEST SUMATRA 西苏门答腊岛COVID-19数据的logistic回归和地理加权logistic回归(gwlr)比较
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1749-1760
Irvanal Haq, Muhammad Nur Aidi, Anang Kurnia, Efriwati Efriwati
An understanding of factors that affect the recovery time from a disease is important for the community, medical staff, and also the government. This research analyzed factors that affect the recovery time of Covid-19 sufferers in West Sumatra. In addition, the consumption of a herbal made from Sungkai leaves, which is believed by some people in West Sumatra to accelerate the healing from Covid-19, was also included in the analysis. The recovery time here was categorized into two classes (binary): 1 for within 2 weeks, and 0 for more than 2 weeks. The methods used were logistic regression and geographically weighted logistic regression (GWLR). GWLR provides estimates of parameters for each location. The data used in this study is Covid-19 data of 2021 taken from the Regional Research and Development Agency (Litbangda) of West Sumatra with a total of 764 observations collected from 19 regencies/cities in West Sumatra. The results showed that there was no difference between the logistic regression model and the GWLR models based on the values of AIC and the ratio of deviance and degrees of freedom (df). The addition of spatial factors through GWLR models did not provide additional information regarding the recovery of Covid-19 sufferers within 2 weeks or more than 2 weeks. The logistic regression model gives the result that, at significance level α = 10%, residence, vaccination status, and symptoms significantly affect the recovery time within 2 weeks or more for Covid-19 sufferers, while other variables, namely sex, age, Sungkai leaves consumption status, and ginger consumption status have no significant effects.
了解影响疾病恢复时间的因素对社区、医务人员和政府都很重要。本研究分析了影响西苏门答腊新冠肺炎患者康复时间的因素。此外,食用由Sungkai叶子制成的草药也被包括在分析中,西苏门答腊的一些人认为Sungkai叶子可以加速Covid-19的愈合。这里的恢复时间分为两类(二元):1为2周内,0为2周以上。采用logistic回归和地理加权logistic回归(GWLR)。GWLR提供了每个地点的参数估计。本研究使用的数据是从西苏门答腊省区域研究与发展署(Litbangda)获取的2021年Covid-19数据,从西苏门答腊省的19个县/城市收集了总共764项观测数据。结果表明,基于AIC值和偏差与自由度之比(df)的logistic回归模型与GWLR模型之间没有差异。通过GWLR模型添加空间因素并没有提供关于Covid-19患者在2周内或2周以上康复的额外信息。logistic回归模型结果显示,在α = 10%的显著性水平下,居住地、疫苗接种情况和症状显著影响Covid-19患者2周及以上的康复时间,而性别、年龄、生开叶消费状况和生姜消费状况等其他变量无显著影响。
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引用次数: 0
A STATISTICAL ANALYTICS OF MIGRATION USING BINARY BAYESIAN LOGISTIC REGRESSION 利用二元贝叶斯逻辑回归对迁移进行统计分析
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1725-1738
Devi Azarina Manzilir Rohmah, Ani Budi Astuti, Achmad Efendi
Binary logistic regression is utilized in research to understand the relationship between multiple independent variables and a binary response variable. In logistic regression modelling, parameter estimation is regarded as a vital stage. The performance of this estimation is often affected by the sample size and data characteristics, and to deal with this problem, the Bayesian method can be employed as an estimation. This research aims to use Regression Logistic with Bayesian estimation to figure out the determinant of recent in-migrants status in Special Region of Yogyakarta 2021, where Yogyakarta’s recent in-migrants in 2021 took the first position in Indonesia, whereas this city has the lowest regional minimum wage in Indonesia. The Bayesian method was used in this study to obtain a better estimate than previous studies using maximum likelihood estimation, because Bayesian is unbiased for unbalanced cases which are often found in logistic regression. This research results show that particular variables such as resident age, resident marital status, resident main activities, resident latest education, and resident homeownership have significant effect on resident migrating to Special Region of Yogyakarta, Indonesia
研究中使用二元逻辑回归来理解多个自变量与一个二元响应变量之间的关系。在逻辑回归建模中,参数估计是一个至关重要的阶段。这种估计的性能往往受到样本量和数据特征的影响,为了解决这一问题,可以采用贝叶斯方法作为估计方法。本研究旨在使用回归逻辑与贝叶斯估计来找出2021年日惹特区最近的移民状况的决定因素,其中2021年日惹的最近移民在印度尼西亚排名第一,而这个城市在印度尼西亚拥有最低的地区最低工资。由于贝叶斯方法对于逻辑回归中经常出现的不平衡情况是无偏的,因此在本研究中使用贝叶斯方法来获得比以往使用最大似然估计的研究更好的估计。研究结果表明,居民年龄、居民婚姻状况、居民主要活动、居民最新教育程度、居民住房拥有率等特定变量对印尼日惹特区居民迁移具有显著影响
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引用次数: 0
CLUSTERIZATION OF REGION IN SOUTH SUMATERA BASED ON COVID-19 CASE DATA 基于COVID-19病例数据的南苏门答腊地区聚类分析
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1257-1264
Anita Saragih, Dian Cahyawati Sukanda, Ning Eliyati
Based on Covid-19 case data as of July 2022, South Sumatra Province has the 15th highest rank out of 34 provinces in Indonesia, with confirmed cases totalling 82,407. This showed that the spread of Covid-19 in South Sumatra was still high. This study aimed to determine the cluster of regions in South Sumatra based on Covid-19 case data. Clustering regions used agglomerative hierarchical method. The process began with standardizing the data, calculating the similarity distance between objects, determining the optimal number of clusters using the Silhouette method, and the last was clustering analysis. This study found that the optimal number of clusters consisted of two clusters. The clustering process starts with objects 2 and objects 4 because these two objects have the closest similarity distance. In conclusion, objects with the closest similarity distance (in one cluster) have the same data movement (fluctuation).
根据截至2022年7月的Covid-19病例数据,南苏门答腊省在印度尼西亚34个省份中排名第15位,确诊病例总数为82407例。这表明Covid-19在南苏门答腊的传播仍然很高。本研究旨在根据Covid-19病例数据确定南苏门答腊岛的区域群。聚类区域采用聚类分层方法。首先对数据进行标准化,计算目标之间的相似距离,然后使用Silhouette方法确定最佳聚类数,最后进行聚类分析。本研究发现,最优簇数由两个簇组成。聚类过程从对象2和对象4开始,因为这两个对象具有最接近的相似距离。综上所述,相似距离最接近的对象(在一个聚类中)具有相同的数据移动(波动)。
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引用次数: 0
SURVIVAL FUNCTION AND HAZARD FUNCTION ANALYSIS OF EXPONENTIAL DISTRIBUTION IN TYPE I CENSORED SURVIVAL DATA: A CASE STUDY OF BREAST CANCER PATIENTS I型截尾生存数据指数分布的生存函数和风险函数分析:以乳腺癌患者为例
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1795-1802
Ardi Kurniawan, Anggara Teguh Previan, Zidni Ilmatun Nurrohmah
Breast cancer is the most common cancer in women and the leading cause of cancer-related death in Indonesia. Analysis of survival data is important for improving the treatment and care of breast cancer patients. This study aims to estimate the parameters, find the survival function, and hazard function of breast cancer patients using a parametric method with an exponential distribution. Previous studies have shown that the Maximum Likelihood Estimation (MLE) method is suitable for estimating the survival function from exponential survival data by censoring. In this study, the exponential distribution was found to be the best for data on breast cancer patients from Surabaya Ontology Hospital. The estimated parameters are θ = 33.9157, and the survival function is calculated using The estimated hazard function for patient death or failure is 0.0295. The results of this study can contribute to the development of better treatment and care strategies for breast cancer patients. However, further research is needed because this study only used monthly time units.
乳腺癌是印度尼西亚妇女中最常见的癌症,也是癌症相关死亡的主要原因。生存数据的分析对于改善乳腺癌患者的治疗和护理具有重要意义。本研究旨在利用指数分布的参数化方法估计乳腺癌患者的参数、求生存函数和危害函数。以往的研究表明,极大似然估计(MLE)方法适用于对指数生存数据进行剔除后的生存函数估计。本研究发现,泗水本体论医院乳腺癌患者的数据以指数分布最优。估计参数为θ = 33.9157,生存函数用。估计患者死亡或失败的危险函数为0.0295。本研究的结果有助于为乳腺癌患者制定更好的治疗和护理策略。然而,由于本研究仅以月为时间单位,需要进一步的研究。
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引用次数: 0
CLUSTERING OF STATE UNIVERSITIES IN INDONESIA BASED ON PRODUCTIVITY OF SCIENTIFIC PUBLICATIONS USING K-MEANS AND K-MEDOIDS 基于k-means和k - medium的科学出版物生产率的印度尼西亚国立大学聚类
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1617-1630
Ermawati Ermawati, Idhia Sriliana, Riry Sriningsih
Scientific publication is a measure of the performance of a university. Universities that are owned and operated by the government and whose establishment is carried out by the President of Republic Indonesia are state universities (PTN). One of the efforts that can be made to determine the quantity and quality of state university scientific publications is to conduct PTN clustering based on the productivity of scientific publications. This clustering aims to see the position of state universities in Indonesia into 3 categories, namely “high”, “medium”, and “low”. One of the clustering methods that can be used is cluster analysis. The cluster analysis used in this study is k-means and k-medoids with Silhoutte's validity. Based on the results of the analysis, it was found that the Silhouette k-means value (0.8018) was higher than the Silhouette k-medoids value (0.7281). Therefore, in this case, it can be concluded that the k-means method is better than the k-medoids. The results of cluster analysis using K-Means are 1) PTN with high productivity of scientific publications, namely ITB, ITS, UGM, and UI. The four PTNs are PTN as Legal Entity (PTN-BH) located in Java, 2) PTN with medium scientific publication productivity consists of 16 PTN which were dominated by PTN-BH and PTN as Public Service Board (PTN-BLU) with the largest location in Java, and 3) PTN with low scientific publication productivity consisted of 102 PTN which were dominated by PTN as general state financial management (PTN-Satker) with most locations outside Java.
科学出版物是衡量一所大学表现的标准。由政府拥有和经营,并由印度尼西亚共和国总统主持建立的大学是国立大学(PTN)。确定州立大学科学出版物数量和质量的方法之一是根据科学出版物的生产率进行PTN聚类。这个集群的目的是把印尼国立大学的地位分为三类,即“高”、“中”和“低”。可以使用的聚类方法之一是聚类分析。本研究使用的聚类分析是k-means和k- medium,具有Silhoutte的效度。根据分析结果发现,剪影k-means值(0.8018)高于剪影k-medoids值(0.7281)。因此,在这种情况下,可以得出结论,k-means方法优于k-medoids方法。K-Means聚类分析结果表明:1)科学出版物生产率较高的PTN,即ITB、ITS、UGM和UI。2)科学出版生产力中等的PTN由16个PTN组成,以PTN- bh和PTN作为公共服务委员会(PTN- blu)为主,在Java地区最多;3)科学出版生产力较低的PTN由102个PTN组成,以PTN作为一般国家财务管理(PTN- satker)为主,大部分地点在Java以外。
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引用次数: 0
DEVELOPMENT OF EXPECTED MONETARY VALUE USING BINOMIAL STATE PRICE IN DETERMINING STOCK INVESTMENT DECISIONS 利用二项状态价格确定股票投资决策的预期货币价值的发展
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1703-1712
Giovanny Theotista, Margareta Febe, Yvone Marshelly
Stock investment is an investment opportunity. This stock investment carries relatively high risk and therefore requires additional analysis to minimize losses and maximize profits. Expected Monetary Value (EMV) is a simple modeling method for estimating the value of an investment that will provide the greatest future return. The expected monetary value (EMV) method involves multiplying the total value of each scenario by the probability of that scenario occurring. However this method has weaknesses in terms of how many cases occur what is the value of each case and what is the probability of each case occurring. Binomial State Price is a method commonly used to calculate stock options and real options but includes the step of modeling the value of an investment in many situations and opportunities that arise in the future. In this paper, our objective is to develop the EMV method with the binomial state pricing model to determine the investment that offers the most favorable payoff. In short, we can develop the expected monetary value (EMV) method and the binomial state pricing model. It was found that this model always recommends stocks which have high dividens.
股票投资是一种投资机会。这种股票投资风险相对较高,因此需要额外的分析,以减少损失和最大化利润。预期货币价值(EMV)是一种简单的建模方法,用于估计将提供最大未来回报的投资价值。期望货币价值(EMV)方法包括将每个情景的总价值乘以该情景发生的概率。然而,这种方法在发生多少情况、每种情况的值是多少以及每种情况发生的概率方面存在弱点。二项状态价格是一种通常用于计算股票期权和实物期权的方法,但它包括对未来出现的许多情况和机会的投资价值进行建模的步骤。在本文中,我们的目标是发展具有二项状态定价模型的EMV方法,以确定提供最有利收益的投资。简而言之,我们可以发展期望货币价值(EMV)方法和二项状态定价模型。研究发现,该模型总是推荐高股息的股票。
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引用次数: 0
COMPARISON OF FORECASTING RICE PRODUCTION IN MAGELANG CITY USING DOUBLE EXPONENTIAL SMOOTHING AND AUTOREGRESSIVE INTEGRATED MOVING AVERAGE (ARIMA) 双指数平滑法与自回归综合移动平均法(arima)预测麦戈朗市水稻产量的比较
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1533-1542
M. Imron, Hani Khaulasari, Diva Ayu SNM, Jauharotul Inayah, Eka Eliyana S
Magelang City has experienced a significant decline in the rice production sector, triggering the need for forecasting research as the next crucial step. This research aims to forecast rice production in Magelang city. By applying Double Exponential Smoothing and ARIMA methods, the most suitable forecasting model is identified. Data on rice production was obtained from the Badan Pusat Statistik (BPS) of Magelang city. The results revealed that the ARIMA (0,1,1) model with MSE of 479,259 was the best choice. This model is expressed as . Using this model, rice production was forecast from July to December 2023, the forecasting results showed that rice paddy production is expected to fluctuate in the coming months. For July 2023, production is projected to be around 65,1762 units, followed by 51,4779 units in August, 58,2432 units in September, and so on.
麦哲郎市的水稻生产部门经历了显著的下降,因此需要进行预测研究,作为下一个关键步骤。本研究旨在预测麦哲郎市水稻产量。应用双指数平滑和ARIMA方法,确定了最合适的预测模型。水稻产量数据来自马格郎市巴丹县统计局(BPS)。结果表明,MSE为479,259的ARIMA(0,1,1)模型是最佳选择。该模型表示为。利用该模型对2023年7 - 12月水稻产量进行了预测,预测结果表明,未来几个月水稻产量将出现波动。到2023年7月,预计产量约为65,1762辆,随后是8月的51,4779辆,9月的58,2432辆,以此类推。
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引用次数: 0
STUDY TIME CLASSIFICATION OF MATHEMATICS AND INFORMATION TECHNOLOGY DEPARTMENT OF KALIMANTAN INSTITUTE OF TECHNOLOGY USING NAÏVE BAYES ALGORITHM 利用naÏve贝叶斯算法研究加里曼丹理工学院数学与信息技术系的时间分类
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1419-1428
Fatrysia Wikarya Sucipto, Ramadhan Paninggalih, Indira Anggriani
Institut Teknologi Kalimantan (ITK) is one of the state universities in Indonesia which has 5 majors, one of them is the Department of Mathematics and Information Technology (JMTI). JMTI has six study programs, and only three study programs have graduates, namely Mathematics, Information Systems, and Informatics. Every year the number of new students continues to grow, but this is not proportional to the number of graduates, because some students study for more than 8 semesters. Because of this, the quality of study programs being poor. In this research, a model was built that could classify student study timeliness, using the naïve Bayes algorithm. The data used is data from JMTI student graduates from the 2013 to 2019 batch. The 2013 to 2018 batch data will be training data and validation data, while the 2019 batch data will be testing data. This research compare accuracy and F1-score naïve Bayes algorithm without correlation and with correlation. The best model obtained from training data is a model with variables that have gone through a correlation test, namely 70:30, 80:20, and 90:10. The attributes selected after the correlation test, namely, IP Tahap Bersama, GPA, Final GPA, Length of Study (Semester), dan Graduation GPA (Category), yield results for accuracy and an F1-score of 1.
加里曼丹理工学院(ITK)是印度尼西亚的一所国立大学,有5个专业,其中一个是数学和信息技术系(JMTI)。JMTI有6个专业,只有3个专业有毕业生,分别是数学、信息系统和信息学。每年新生的数量都在持续增长,但这与毕业生的数量不成比例,因为有些学生学习超过8个学期。正因为如此,学习项目的质量很差。在本研究中,我们使用naïve贝叶斯算法建立了一个对学生学习时效性进行分类的模型。所用数据为2013年至2019年JMTI学生毕业生的数据。2013 - 2018批数据为训练数据和验证数据,2019批数据为测试数据。本研究比较准确率与F1-score naïve无相关与有相关贝叶斯算法。从训练数据中得到的最佳模型是变量经过相关性检验的模型,即70:30、80:20和90:10。经过相关检验后选择的属性,即IP Tahap Bersama, GPA, Final GPA, Length of Study (Semester), dan Graduation GPA (Category),得出准确性结果,f1得分为1。
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引用次数: 0
STATISTICAL DOWNSCALING USING REGRESSION NONPARAMETRIC OF FOURIER SERIES-POLYNOMIAL LOCAL OF CLIMATE CHANGE 气候变化局部多项式傅里叶级数回归非参数统计降尺度
Pub Date : 2023-09-30 DOI: 10.30598/barekengvol17iss3pp1411-1418
Tiani Wahyu Utami, Fatkhurokhman Fauzi, Eko Yuliyanto
Indonesia is a tropical country that is vulnerable to the impacts of climate change. Climate change causes an effect on the level of comfort (heat stress) that can affect the level of human immunity, one of the indices to calculate the level of human comfort (heat stress) is the Thermal Humidity Index (THI). Climate change scenarios modeled in Earth System Models (ESMs). ESM has a coarse resolution and is subject to considerable bias. This research is using secondary data. The data source used in this study comes from the Coupled Model Intercomparison Project (CMIP5). This research will focus on projected heat stress which is calculated based on THI with the temperature and humidity variables. Therefore, in this research to reduce the bias correction method used Statistical Downscaling (SD) and nonparametric regression. The results of the bias correction using the Statistical Downscaling (SD) method and Nonparametric Regression Fourier-Polynomial Local Series in this study the R-square value for Relative Humidity yields 95% and for Temperature yields 94%. The projection of climate change based on the value of the Temperature Humidity Index (THI) in Indonesia in the category of 50% of the population of Indonesians feeling comfortable conditions occurred in 2006-2059. Then the population of citizens in Indonesia felt uncomfortable conditions occurred in 2060 to 2100 with a THI value of 27.0730°C - 27.7800°C.
印度尼西亚是一个热带国家,容易受到气候变化的影响。气候变化对人体的舒适水平(热应激)产生影响,从而影响人体的免疫水平,计算人体舒适水平(热应激)的指标之一是热湿度指数(THI)。地球系统模式(ESMs)模拟的气候变化情景。ESM具有粗糙的分辨率,并受到相当大的偏差。这项研究使用的是二手数据。本研究使用的数据源来自耦合模式比对项目(CMIP5)。本研究将重点研究基于THI与温度和湿度变量计算的预估热应力。因此,本研究采用统计降尺度(SD)和非参数回归的方法来减小偏倚。本研究采用统计降尺度(SD)方法和非参数回归傅立叶多项式局部级数进行偏差校正,相对湿度的r平方值为95%,温度的r平方值为94%。2006-2059年,印度尼西亚的温度湿度指数(THI)在50%的印度尼西亚人感觉舒适的情况下对气候变化进行了预测。然后印度尼西亚公民的人口感到不舒服的条件发生在2060年至2100年,THI值为27.0730°C - 27.7800°C。
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引用次数: 0
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