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MODEL MATEMATIKA TIPE SEIQR PADA PENYEBARAN PENYAKIT DIFTERI SEIQR类型的关于白喉传播疾病的数学模型
Majalah Ilmiah Matematika dan Statistika Pub Date : 2022-03-13 DOI: 10.19184/mims.v22i1.29337
Saltina Saltina, Novianita Achmad, Resmawan Resmawan, Agusyarif Rezka Nuha
{"title":"MODEL MATEMATIKA TIPE SEIQR PADA PENYEBARAN PENYAKIT DIFTERI","authors":"Saltina Saltina, Novianita Achmad, Resmawan Resmawan, Agusyarif Rezka Nuha","doi":"10.19184/mims.v22i1.29337","DOIUrl":"https://doi.org/10.19184/mims.v22i1.29337","url":null,"abstract":"The present work discusses a mathematical model of diphtheria transmission. Diphtheria is an infection of the throat and upper respiratory tract that is caused by bacteria called corynebacterium. The model was developed by adding latent population and death parameter resulted from this infection. The purpose of this study was to construct a mathematical model, analyze the stability of the equilibrium point, and interpret the simulation of the SEIQR mathematical model in the trasnsmission of diphteria. From the constructed model, there were bacis reproduction number ()  and two equilibrium points, namely disease-free and endemic equilibrium point would be stable if   and ,  respectively. Moreover, a nunerical simulation was carried out to determine the dynamics of the diphteria  transmission. The simulation results showed that if the rates of vaccinated propotion and individual are increased, the infaction woud grandually go away from the population. In short, diphteria transmission be prevented by increasing the rate of vaccnation.Keywords: Basic reproduction number, Diphtheria, Equilibrium point, Mathematical model, Numerical simulationMSC2020: 37A99, 37A10, 37C10","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128370424","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
PENERAPAN METODE EKSPONENTIAL SMOOTHING DALAM MEMPREDIKSI JUMLAH PESERTA DIDIK BARU DI SMA FAVORIT KOTA PAYAKUMBUH 在预测最受欢迎的帕雅甘高中新学习者数量方面，采用指数级平滑方法
Majalah Ilmiah Matematika dan Statistika Pub Date : 2022-03-13 DOI: 10.19184/mims.v22i1.30138
M. Marizal, Fikha Mutiarani
{"title":"PENERAPAN METODE EKSPONENTIAL SMOOTHING DALAM MEMPREDIKSI JUMLAH PESERTA DIDIK BARU DI SMA FAVORIT KOTA PAYAKUMBUH","authors":"M. Marizal, Fikha Mutiarani","doi":"10.19184/mims.v22i1.30138","DOIUrl":"https://doi.org/10.19184/mims.v22i1.30138","url":null,"abstract":"Forecasting is a technique for estimating a value on a particular object in the future by paying attention to past data. This forecasting uses the Exponential Smoothing models because the data used is in accordance with the model. This study aims to predict the number of students in favorite high schools in Payakumbuh based on data obtained from 2014 until 2021 which is grouped into science and social studies classes. Forecasting is done using a Single Exponential Smoothing and Double Exponential models. MAPE results show that the Double Exponential Smoothing model is better at predicting the number of new students than Single Exponential Smoothing. Keywords: Double exponential smoothing, forecasting, single exponential smoothingMSC2020: 62M10","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133332667","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
PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR
Majalah Ilmiah Matematika dan Statistika Pub Date : 2022-03-13 DOI: 10.19184/mims.v22i1.30186
Juan Daniel, Zeveliano Zidane Barack, Pandu Setya Ilham, K. A. Sugeng
{"title":"PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR","authors":"Juan Daniel, Zeveliano Zidane Barack, Pandu Setya Ilham, K. A. Sugeng","doi":"10.19184/mims.v22i1.30186","DOIUrl":"https://doi.org/10.19184/mims.v22i1.30186","url":null,"abstract":"Gnanajothi defined a graph  with  edges to be odd-graceful if there is an injective function   such that if every edge  is labelled with  the resulting edge labels are . She proved that the graph obtained by joining one pendant to every vertex in  is odd-graceful if and only if  is even. In this paper, we extend her results by proving that  is odd-graceful if and only if is even.Keywords: Vertex-labelling, odd-graceful, cycleMSC 2020: 05C78","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129302988","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
KOMBINASI CAESAR CIPHER DAN REVERSE CIPHER BERDASARKAN CIPHER BLOCK CHAINING Kombinasi凯撒密码丹反密码berdasarkan密码块链
Majalah Ilmiah Matematika dan Statistika Pub Date : 2021-09-25 DOI: 10.19184/mims.v21i2.26978
M. Najah, K. A. Santoso
{"title":"KOMBINASI CAESAR CIPHER DAN REVERSE CIPHER BERDASARKAN CIPHER BLOCK CHAINING","authors":"M. Najah, K. A. Santoso","doi":"10.19184/mims.v21i2.26978","DOIUrl":"https://doi.org/10.19184/mims.v21i2.26978","url":null,"abstract":"Communication in the current era of globalization is very developed. Many applications that can be used to facilitate communication. However, because of this convenience, the security of the information contained in it will be more easily hacked by irresponsible people. Cryptography is the science or art for security message. In cryptography there are two important processes, namely encryption and decryption. The sender's job is to encrypt the message and the receiver's job is to decrypt the message. The key used for this cryptographic process is the Cipher Block Chaining (CBC) operation mode. CBC mode is a very simple operation mode, so additional techniques are needed to make it more secure. The plaintext will be replaced with new plaintext resulting from a combination of Caesar Cipher and Reverse Cipher techniques. The results obtained indicate that the application of plaintext modifications to CBC can improve message security because the keys used are increasingly complex.","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"347 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123403085","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
MODELISASI KURSI DENGAN PENGGABUNGAN HASIL DEFORMASI BENDA-BENDA RUANG MENGGUNAKAN KURVA BEZIER 椅子的解构与空间物体变形结果的结合，使用的是较厚的曲线
Majalah Ilmiah Matematika dan Statistika Pub Date : 2021-09-23 DOI: 10.19184/mims.v21i2.20733
Annisa Ayu Nadzira, Bagus Juliyanto, Ahmad Kamsyakawuni
{"title":"MODELISASI KURSI DENGAN PENGGABUNGAN HASIL DEFORMASI BENDA-BENDA RUANG MENGGUNAKAN KURVA BEZIER","authors":"Annisa Ayu Nadzira, Bagus Juliyanto, Ahmad Kamsyakawuni","doi":"10.19184/mims.v21i2.20733","DOIUrl":"https://doi.org/10.19184/mims.v21i2.20733","url":null,"abstract":"Chairs are needed by humans to do some work, especially students and office workers. The parts contained in the chair are the chair legs, chair legs eats and chair backs. The purpose of this study is to obtain variations in the shape of office chairs using Bezier curves and incorporate the results of deformation of space geometric objects. In modeling this chair, it is divided into several stages, namely first, building the chair leg components. This chair leg component consists of chair wheels, connecting two wheels with tube deformation, modeling the chair leg branch components and modeling chair leg supports. Second, namely the model of the chair leg seat. Chair leg seat consists of regular hexagon prism deformation and regular quadrangle prism deformation. The third is the modelization of the back of the chair by using a rectangular prism model. The result of combining several components of the chair using one modeling axis produces 36 chair models, with special provisions, namely that the seat support parts can only be joined using a tube.","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116043751","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
DESAIN MOZAIK PADA BINGKAI JAJARAN GENJANG DENGAN MOTIF GEOMETRIS 镶嵌图案在几何图案的平行框架上
Majalah Ilmiah Matematika dan Statistika Pub Date : 2021-09-23 DOI: 10.19184/mims.v21i2.25337
Zulfatus Sakinah, Bagus Juliyanto, Firdaus Ubaidillah
{"title":"DESAIN MOZAIK PADA BINGKAI JAJARAN GENJANG DENGAN MOTIF GEOMETRIS","authors":"Zulfatus Sakinah, Bagus Juliyanto, Firdaus Ubaidillah","doi":"10.19184/mims.v21i2.25337","DOIUrl":"https://doi.org/10.19184/mims.v21i2.25337","url":null,"abstract":"This research is intended to obtain the steps of a parallelogram frame mosaic design with a Pinwheel tile pattern with geometric motifs. The design of the basic shape of the mosaic on the interior of a parallelogram which is then filled with several geometric motifs in the basic shape of the mosaic is the method used in this study. The results obtained from this study are the basic modeling procedure for the mosaic with a parallelogram frame. the first step, setting the second repetition (iteration) pinwheel tile. the second step, dividing the field on the frame into several basic shapes of mosaics. then for the procedure for filling the basic shape of the geometric patterned mosaic with the following steps. First, determine the geometric motifs that match the selected mosaic shapes. Secondly, fill the motif into each basic form. Thirdly, fill colour on the background.","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116873310","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
VARIASI POHON FRAKTAL MENGGUNAKAN L-SYSTEMS 以l系统为基础的分形树
Majalah Ilmiah Matematika dan Statistika Pub Date : 2021-09-23 DOI: 10.19184/mims.v21i2.25697
Pradifta Gilang Ramdhan, K. D. Purnomo, Firdaus Ubaidillah
{"title":"VARIASI POHON FRAKTAL MENGGUNAKAN L-SYSTEMS","authors":"Pradifta Gilang Ramdhan, K. D. Purnomo, Firdaus Ubaidillah","doi":"10.19184/mims.v21i2.25697","DOIUrl":"https://doi.org/10.19184/mims.v21i2.25697","url":null,"abstract":"Fractal tree is simply a trunk and a number of branches, each of which looks like the tree itself. The fractal tree can be generated using the IFS and L-Systems methods. In this article, the author develops fractal tree generation using L-Systems with additional variations. The variations given are in thickness, length, and branch angle. This development is expected to produce more diverse fractal tree patterns. In generating a fractal tree using L-Systems, it begins by determining the letters and symbols to be used. Then determine which axioms should be used. Then the production rules are made together with the determination of the parametric L-Systems. And the last is to determine the probability value for the stochastic L-Systems. In the deterministic L-Systems, thickness variations, length variations, and branch angle variations are carried out. In the variation of branch thickness, if the ratio of the thickness of the left branch is greater than that of the right branch, the fractal tree is skewed to the left. Then in the variation of branch length if the ratio of the length of the left branch is smaller than the ratio of the length of the right branch, the length of the left branch is longer than the length of the right branch. Then at the angle of the branching the smaller the 𝜃 that is included causes the branches to be closer together. The use of stochastic L-Systems can produce more diverse fractal tree patterns, even though they use the same production rules and parameter values","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124701979","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
MODELISASI KOTAK TISU DENGAN PENGGABUNGAN KURVA BEZIER, KURVA HERMIT DAN HASIL DEFORMASI BENDA GEOMETRI 用BEZIER曲线、隐士曲线和几何物体变形的结果来催化纸巾盒
Majalah Ilmiah Matematika dan Statistika Pub Date : 2021-09-23 DOI: 10.19184/mims.v21i2.22818
Dian Safitri, Bagus Juliyanto, Firdaus Ubaidillah
{"title":"MODELISASI KOTAK TISU DENGAN PENGGABUNGAN KURVA BEZIER, KURVA HERMIT DAN HASIL DEFORMASI BENDA GEOMETRI","authors":"Dian Safitri, Bagus Juliyanto, Firdaus Ubaidillah","doi":"10.19184/mims.v21i2.22818","DOIUrl":"https://doi.org/10.19184/mims.v21i2.22818","url":null,"abstract":"The tissue box is a place to store tissues to make them look neat and protect the tissues from dirt and dust. Tissue boxes are often used in households, restaurants and also as room decorations. Therefore, the shapes of tissue boxes that are being developed are increasingly varied according to consumer interests. The tissue box consists of three main parts, namely the cover, body and base of the box. This research was carried out by developing variations in the shape of the tissue box components using the Bezier curve, the Hermit curve and the results of the deformation of geometric objects. The deformation techniques used are rotation, dilation, and curve interpolation. Tissue box modeling processes are divided into four stages. The first, modeling the tissue box by dividing into three models, namely model A, model B and model C. The second, determining the size of the tissue box components based on the model. The third, modeling tissue box components. Finally, visualizing the results of the tissue box model by combining the components so that a variety of tissue box models are produced.","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127996813","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
PENYELESAIAN MODIFIKASI MODEL PREDATOR PREY LESLIE-GOWER DENGAN SEBAGIAN PREY TERINFEKSI MENGGUNAKAN ADAMS BASHFORTH MOULTON ORDE EMPAT 用亚当斯·巴福斯·莫尔顿第四次命令完成了对捕食者莱斯-高尔的改造模型
Majalah Ilmiah Matematika dan Statistika Pub Date : 2019-09-02 DOI: 10.19184/mims.v19i2.17268
Lia Arianti, Rusli Hidayat, K. D. Purnomo
{"title":"PENYELESAIAN MODIFIKASI MODEL PREDATOR PREY LESLIE-GOWER DENGAN SEBAGIAN PREY TERINFEKSI MENGGUNAKAN ADAMS BASHFORTH MOULTON ORDE EMPAT","authors":"Lia Arianti, Rusli Hidayat, K. D. Purnomo","doi":"10.19184/mims.v19i2.17268","DOIUrl":"https://doi.org/10.19184/mims.v19i2.17268","url":null,"abstract":"Eco-epidemiology is a science that studies the spread of infectious diseases in a population in an ecosystem where two or more species interact like a predator prey. In this paper discusses about how to solve modification Leslie Gower of predator prey models (with Holling II response function) with some prey infected using fourth order Adams Bashforth Moulton method. This paper used a simple disease-spreading model that is Susceptible-Infected (SI). The model is divided into three populations: the sound prey (which is susceptible), the infected prey and predator population. \u0000Keywords: Adams Basforth Moulton, Eco-epidemiology Holling Tipe II, Local stability, Leslie-Gower, Predator-Prey model","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121214843","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
IMPLEMENTASI ALGORITMA GREY WOLF OPTIMIZER (GWO) DI TOKO CITRA TANI JEMBER 采用《灰狼光学》算法
Majalah Ilmiah Matematika dan Statistika Pub Date : 2019-09-02 DOI: 10.19184/mims.v19i2.17269
Vidiyanti Lestari, Ahmad Kamsyakawuni, Kiswara Agung Santoso
{"title":"IMPLEMENTASI ALGORITMA GREY WOLF OPTIMIZER (GWO) DI TOKO CITRA TANI JEMBER","authors":"Vidiyanti Lestari, Ahmad Kamsyakawuni, Kiswara Agung Santoso","doi":"10.19184/mims.v19i2.17269","DOIUrl":"https://doi.org/10.19184/mims.v19i2.17269","url":null,"abstract":"Generally, optimization is defined as the process of determining the minimum or maximum value that depends on the function of the goal, even now there are many problems regarding optimization. One of them is the problem regarding the selection of goods to be included in a limited storage medium called Knapsack problem. Knapsack problems have different types and variations. This study will solve the problem of bounded knapsack multiple constraints by implementing the Grey Wolf Optimizer (GWO) algorithm. The problem of bounded knapsack multiple constraints has more than one subject with the items that are inserted into the dimension storage media can be partially or completely inserted, but the number of objects is limited. The aim of this study is to determine the results of using the Grey Wolf Optimizer (GWO) algorithm for solving the problem of multiple constraints bounded knapsack and compare the optimal solutions obtained by the simplex method using the Solver Add-In in Microsoft Excel. The data used in this study is primary data. There are two parameters to be tested, namely population parameters and maximum iteration. The test results of the two parameters show that the population parameters and maximum iterations have the same effect, where the greater the value of the population parameters and the maximum iteration, the results obtained are also getting closer to the optimal value. In addition, based on the results of the final experiment it is known that the comparison of the results of the GWO algorithm and the simplex method has a fairly small percentage deviation which indicates that the GWO algorithm produces results that are close to the optimal value. \u0000Keywords: GWO algorithm, Knapsack, Multiple Constraints Bounded Knapsack.","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131184186","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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