Pub Date : 2022-06-29DOI: 10.18860/jrmm.v1i5.14174
Sri Pujilestari, Sri Harini, Nailul Munah
This study aims to determine the level of student satisfaction with online lectures during the Covid-19 pandemic which is still ongoing today. Variables measuring student satisfaction with online lectures are limited to aspects of learning including lecture facilities, learning media, and the implementation of online lectures. This research method uses descriptive analysis techniques. Data was collected using a questionnaire, then the data was analyzed using statistical tests to determine the validity and reliability of the instrument, multicollinearity test, and ordinal logistic regression analysis and regression parameter tests at the 95% confidence level. Based on the test results the instrument is declared valid and reliable, and the obtained regression model is feasible to use. The results of the interpretation of the model lead to conclusions, (a) the probability of students who are satisfied with online lectures in the aspect of lecture facilities is 2.21 times compared to students who are not satisfied; (b) the probability of students being satisfied with online lectures in the aspect of learning media is 1.53 times compared to students who are dissatisfied; and (c) the probability of students being satisfied with online lectures in the aspect of lecture implementation is 2.28 times compared to students who are not satisfied.
{"title":"Analisis Kepuasan Mahasiswa Terhadap Perkuliahan Online","authors":"Sri Pujilestari, Sri Harini, Nailul Munah","doi":"10.18860/jrmm.v1i5.14174","DOIUrl":"https://doi.org/10.18860/jrmm.v1i5.14174","url":null,"abstract":"This study aims to determine the level of student satisfaction with online lectures during the Covid-19 pandemic which is still ongoing today. Variables measuring student satisfaction with online lectures are limited to aspects of learning including lecture facilities, learning media, and the implementation of online lectures. This research method uses descriptive analysis techniques. Data was collected using a questionnaire, then the data was analyzed using statistical tests to determine the validity and reliability of the instrument, multicollinearity test, and ordinal logistic regression analysis and regression parameter tests at the 95% confidence level. Based on the test results the instrument is declared valid and reliable, and the obtained regression model is feasible to use. The results of the interpretation of the model lead to conclusions, (a) the probability of students who are satisfied with online lectures in the aspect of lecture facilities is 2.21 times compared to students who are not satisfied; (b) the probability of students being satisfied with online lectures in the aspect of learning media is 1.53 times compared to students who are dissatisfied; and (c) the probability of students being satisfied with online lectures in the aspect of lecture implementation is 2.28 times compared to students who are not satisfied.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"131 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114653304","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}
Pub Date : 2022-06-29DOI: 10.18860/jrmm.v1i5.14477
Chilvia Tribhuana, Usman Pagalay, E. Susanti
T cells are a major component of the human immune system. These T cells have a number that varies depending on the body's immune response when fighting bacteria or viruses. However, the condition of excess immune cells in the body can also be dangerous. Theoretical studies on the dynamics of T-Helper cells in the body are needed to get the right simulation in treating patients without conducting medical tests on every patient on a daily basis. This study discusses the dynamics of the mathematical model of the T-Helper reaction with the influence of antigen and IL-2. From this study, two equilibrium points were obtained, namely disease-free equilibrium and endemic equilibrium. The use of parameter values from the experimental results shows that the disease-free equilibrium point is locally unstable, while the endemic equilibrium point is locally stable. The numerical simulation showed that the antigen increased from 1st day to the highest value at 0.926 on the 11th day until on the 20th day it started to be constant towards at the value which is the antigen could be activate the resting T-Helper. The process of activating T-Helper, create IL-2 which can stimulating the proliferation and activity of T-Helper cells, so they can divide the activated cell of T-Helper into two memory cells.
{"title":"Dinamika Model Matematika Reaksi T-Helper","authors":"Chilvia Tribhuana, Usman Pagalay, E. Susanti","doi":"10.18860/jrmm.v1i5.14477","DOIUrl":"https://doi.org/10.18860/jrmm.v1i5.14477","url":null,"abstract":"T cells are a major component of the human immune system. These T cells have a number that varies depending on the body's immune response when fighting bacteria or viruses. However, the condition of excess immune cells in the body can also be dangerous. Theoretical studies on the dynamics of T-Helper cells in the body are needed to get the right simulation in treating patients without conducting medical tests on every patient on a daily basis. This study discusses the dynamics of the mathematical model of the T-Helper reaction with the influence of antigen and IL-2. From this study, two equilibrium points were obtained, namely disease-free equilibrium and endemic equilibrium. The use of parameter values from the experimental results shows that the disease-free equilibrium point is locally unstable, while the endemic equilibrium point is locally stable. The numerical simulation showed that the antigen increased from 1st day to the highest value at 0.926 on the 11th day until on the 20th day it started to be constant towards at the value which is the antigen could be activate the resting T-Helper. The process of activating T-Helper, create IL-2 which can stimulating the proliferation and activity of T-Helper cells, so they can divide the activated cell of T-Helper into two memory cells.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115753601","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}
Pub Date : 2022-06-29DOI: 10.18860/jrmm.v1i5.14498
Ummi Hafildah, R. Karisma
Survival analysis is a statistical method used to analyze data with time until the occurrence of a certain event which is commonly referred to as "failure". One of the objectives of survival analysis is to determine the effect of predictor variables on survival time. The purpose of this study was to determine the regression model and determine the hazard ratio of each factor that is thought to affect the survival of cervical cancer patients. The results of this study showed that the factors that influence patients with cervical cancer in their survival are stage II and stage III variables (the patient’s stage), complications, and a history of pregnancy (who have children 0-2).
{"title":"Analisis Ketahanan Hidup Pada Penderita Kanker Serviks Menggunakan Regresi Cox Proportional Hazard","authors":"Ummi Hafildah, R. Karisma","doi":"10.18860/jrmm.v1i5.14498","DOIUrl":"https://doi.org/10.18860/jrmm.v1i5.14498","url":null,"abstract":"Survival analysis is a statistical method used to analyze data with time until the occurrence of a certain event which is commonly referred to as \"failure\". One of the objectives of survival analysis is to determine the effect of predictor variables on survival time. The purpose of this study was to determine the regression model and determine the hazard ratio of each factor that is thought to affect the survival of cervical cancer patients. The results of this study showed that the factors that influence patients with cervical cancer in their survival are stage II and stage III variables (the patient’s stage), complications, and a history of pregnancy (who have children 0-2).","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115996251","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}
Pub Date : 2022-06-29DOI: 10.18860/jrmm.v1i5.14496
Siti Fadlilah, Turmudi Turmudi, Muhammad Khudzaifah
Hill Cipher is a one of the symmetric key cryptography algorithm that using an invertible matrix with an order n×n as a key to encrypt and decrypt plaintext. Meanwhile, ElGamal is other asymmetric key cryptography algorithm that use the complexity of discrete logarithms in the encryption and decryption process. In this study, the authors are interest in combine the Hill Cipher and ElGamal algorithms to secure text messages. The author use the matrix as a symmetric key and converts the plaintext in the table of ASCII 256. Then encrypt using the Hill Cipher algorithm which results the ciphertext from messages and ElGamal algorithm results the ciphertext of the symmetric key. In processing decryption using the ElGamal algorithm to determine the symmetric key that will be used as a key in the decryption process with the Hill Cipher algorithm so that the original plaintext is obtained. Then the results obtained are that the combination of the Hill Cipher and ElGamal algorithms to secure text messages can be done it well.
Hill Cipher是一种使用阶为n×n的可逆矩阵作为密钥对明文进行加密和解密的对称密钥加密算法。同时，ElGamal是另一种利用离散对数复杂性进行加解密的非对称密钥加密算法。在这项研究中，作者感兴趣的是结合希尔密码和ElGamal算法来保护短信。作者使用矩阵作为对称密钥，并将表中的明文转换为ASCII 256。然后使用Hill密码算法从消息中得到密文，使用ElGamal算法得到对称密钥的密文。在处理解密过程中，使用ElGamal算法确定对称密钥，该密钥将在使用Hill Cipher算法解密过程中用作密钥，从而获得原始明文。结果表明，将Hill密码和ElGamal算法相结合，可以很好地实现短信安全。
{"title":"Penggabungan Algoritma Hill Cipher dan ElGamal untuk Mengamankan Pesan teks","authors":"Siti Fadlilah, Turmudi Turmudi, Muhammad Khudzaifah","doi":"10.18860/jrmm.v1i5.14496","DOIUrl":"https://doi.org/10.18860/jrmm.v1i5.14496","url":null,"abstract":"Hill Cipher is a one of the symmetric key cryptography algorithm that using an invertible matrix with an order n×n as a key to encrypt and decrypt plaintext. Meanwhile, ElGamal is other asymmetric key cryptography algorithm that use the complexity of discrete logarithms in the encryption and decryption process. In this study, the authors are interest in combine the Hill Cipher and ElGamal algorithms to secure text messages. The author use the matrix as a symmetric key and converts the plaintext in the table of ASCII 256. Then encrypt using the Hill Cipher algorithm which results the ciphertext from messages and ElGamal algorithm results the ciphertext of the symmetric key. In processing decryption using the ElGamal algorithm to determine the symmetric key that will be used as a key in the decryption process with the Hill Cipher algorithm so that the original plaintext is obtained. Then the results obtained are that the combination of the Hill Cipher and ElGamal algorithms to secure text messages can be done it well.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122768345","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}
Pub Date : 2022-06-29DOI: 10.18860/jrmm.v1i5.14497
Riyan Fahmi Syihabuddin, M. N. Jauhari, Muhammad Khudzaifah, Hisyam Fahmi
Traveling is one of the needs of everyone to relax the mind from the busyness that is lived every day. One of the cities in East Java which is a prima donna for traveling is Malang. The city has approximately 43 tourist destinations. Usually, tourists who want to visit not only one place, but several places. generate assistance in deciding which destinations to visit first in order for their trip to be effective. The shortest search process in this study uses the A-Star Algorithm, one of the BFS algorithms which in the process really considers the heuristic value. The process of testing the shortest route is done by selecting a starting point, then selecting several tourist locations. Next, the shortest route will be searched using the A-star algorithm at each destination, then which destination will be visited first. And so on until the final destination. The effectiveness of the route which involves comparison with the route presented by google maps. Based on the results of 30 experiments on several comprehensive destinations, it was found that the average route search using the A-Star algorithm was 44.17% shorter than that presented on google maps. This is due to the uniqueness of the algorithm in which there is a heuristic value and selection for each destination so as to make the route more effective.
{"title":"Implementasi Algoritma A-Star dalam Menentukan Rute Terpendek Destinasi Wisata Kota Malang","authors":"Riyan Fahmi Syihabuddin, M. N. Jauhari, Muhammad Khudzaifah, Hisyam Fahmi","doi":"10.18860/jrmm.v1i5.14497","DOIUrl":"https://doi.org/10.18860/jrmm.v1i5.14497","url":null,"abstract":"Traveling is one of the needs of everyone to relax the mind from the busyness that is lived every day. One of the cities in East Java which is a prima donna for traveling is Malang. The city has approximately 43 tourist destinations. Usually, tourists who want to visit not only one place, but several places. generate assistance in deciding which destinations to visit first in order for their trip to be effective. The shortest search process in this study uses the A-Star Algorithm, one of the BFS algorithms which in the process really considers the heuristic value. The process of testing the shortest route is done by selecting a starting point, then selecting several tourist locations. Next, the shortest route will be searched using the A-star algorithm at each destination, then which destination will be visited first. And so on until the final destination. The effectiveness of the route which involves comparison with the route presented by google maps. Based on the results of 30 experiments on several comprehensive destinations, it was found that the average route search using the A-Star algorithm was 44.17% shorter than that presented on google maps. This is due to the uniqueness of the algorithm in which there is a heuristic value and selection for each destination so as to make the route more effective.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125217859","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}
Pub Date : 2022-02-28DOI: 10.18860/jrmm.v1i3.14369
Nahdliyatul Ummah, Hairur Rahman, Dewi Ismiarti
The purpose of this research is to show the sufficient condition for Hӧlder inequality and Minkowski inequality in generalization of Morrey space and its weak space, namely generalization of weak Morrey space. This research focuses on the application of Hӧlder inequality and Minkowski inequality in generalization of Morrey space and generalization of weak Morrey space based on the characteristics of the two spaces in the set of n-dimensional real numbers.
{"title":"Syarat Cukup Ketaksamaan Hӧlder dan Ketaksamaan Minkowski di Perumuman Ruang Morrey","authors":"Nahdliyatul Ummah, Hairur Rahman, Dewi Ismiarti","doi":"10.18860/jrmm.v1i3.14369","DOIUrl":"https://doi.org/10.18860/jrmm.v1i3.14369","url":null,"abstract":"The purpose of this research is to show the sufficient condition for Hӧlder inequality and Minkowski inequality in generalization of Morrey space and its weak space, namely generalization of weak Morrey space. This research focuses on the application of Hӧlder inequality and Minkowski inequality in generalization of Morrey space and generalization of weak Morrey space based on the characteristics of the two spaces in the set of n-dimensional real numbers.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115399597","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}
Pub Date : 2022-02-28DOI: 10.18860/jrmm.v1i3.14339
Resti Anggraini, Usman Pagalay, Ach. Nashichuddin
The brain tumor distribution model with immune cell response is in the form of a non-linear system of ordinary differential equations with five equations. Each equation describes how immune cells in the brain, namely macrophages ( ), CD8+ T cells ( ), TGF- cytokines ( ) and IFN- ( ) cytokines interact with tumor cells, namely glioma cells ( ). From the calculation of the equilibrium point, the tumor cell-free conditions (DFE) and the endemic conditions (END) were obtained, in which tumor cells in long-term conditions were always present in the patient's brain. By using certain parameter values, it can be illustrated that the END condition is locally asymptotically stable while the DFE condition is locally unstable. This indicates that brain tumor cells, namely glioma cells ( ) will increase to their maximum value of 882650 cells and remain at that number from day 1000 onwards.
{"title":"Analisis Dinamik Model Penyebaran Tumor Otak dengan Respon Sel Imun","authors":"Resti Anggraini, Usman Pagalay, Ach. Nashichuddin","doi":"10.18860/jrmm.v1i3.14339","DOIUrl":"https://doi.org/10.18860/jrmm.v1i3.14339","url":null,"abstract":"The brain tumor distribution model with immune cell response is in the form of a non-linear system of ordinary differential equations with five equations. Each equation describes how immune cells in the brain, namely macrophages ( ), CD8+ T cells ( ), TGF- cytokines ( ) and IFN- ( ) cytokines interact with tumor cells, namely glioma cells ( ). From the calculation of the equilibrium point, the tumor cell-free conditions (DFE) and the endemic conditions (END) were obtained, in which tumor cells in long-term conditions were always present in the patient's brain. By using certain parameter values, it can be illustrated that the END condition is locally asymptotically stable while the DFE condition is locally unstable. This indicates that brain tumor cells, namely glioma cells ( ) will increase to their maximum value of 882650 cells and remain at that number from day 1000 onwards.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128461919","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}
Pub Date : 2022-02-28DOI: 10.18860/jrmm.v1i3.14307
Ilfa Wardatul Rizqyah, A. Kusumastuti, Heni Widayani
The measles distribution model is a system of differential equations that is included in a continuous dynamic system. This research focuses on transforming the continuous form into discrete form by discretization using non-standard finite difference and stability analysis which is then carried out by numerical simulations to prove its stability graphically. Based on the analysis, it is found that the measles distribution model which is assumed to have two fixed points, namely the disease-free fixed point (R_01) and the endemic fixed point (R_01), is stable. The stability of the two fixed points is proven by the Schur-Cohn criteria and is obtained stable with the condition 0ϕ(h)≤5 which meets the value of h0. The results of the numerical simulation show that the measles distribution model is dynamically consistent and tends to the fixed point. In addition, numerical simulations show that the larger the value of h, the more the graph tends to the fixed point.
{"title":"Implementasi Metode Beda Hingga Tak Standar untuk Model Penyebaran Campak","authors":"Ilfa Wardatul Rizqyah, A. Kusumastuti, Heni Widayani","doi":"10.18860/jrmm.v1i3.14307","DOIUrl":"https://doi.org/10.18860/jrmm.v1i3.14307","url":null,"abstract":"The measles distribution model is a system of differential equations that is included in a continuous dynamic system. This research focuses on transforming the continuous form into discrete form by discretization using non-standard finite difference and stability analysis which is then carried out by numerical simulations to prove its stability graphically. Based on the analysis, it is found that the measles distribution model which is assumed to have two fixed points, namely the disease-free fixed point (R_01) and the endemic fixed point (R_01), is stable. The stability of the two fixed points is proven by the Schur-Cohn criteria and is obtained stable with the condition 0ϕ(h)≤5 which meets the value of h0. The results of the numerical simulation show that the measles distribution model is dynamically consistent and tends to the fixed point. In addition, numerical simulations show that the larger the value of h, the more the graph tends to the fixed point. ","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114546467","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}
Pub Date : 2022-02-28DOI: 10.18860/jrmm.v1i3.14332
Syavira Habib Al-adawiyah, E. Alisah, A. Aziz
Fuzzy time series method can be applied in predicting the situation in food price development data such as rice. The position of rice as a staple food has resulted in this commodity being one of the indicators of economic growth. The importance of suppressing rice prices so that they are stable can be done by forecasting rice prices in Indonesia in the future. The research method used for forecasting is average based fuzzy time series Markov chain and novel algorithms fuzzy time series. Researchers will compare the two methods in the case of rice prices by looking at the level of accuracy that is better. The data used in this study is the average monthly rice price at the wholesale trade level from January 2015 to March 2021 in units of Rp/Kg as much as 75 data. The results of the comparison of the level of accuracy using the value of Mean Absolute Percentage Error (MAPE), obtained the forecast of the average price of rice at the Indonesian wholesale trade level for average based fuzzy time series Markov chain which is 0.36%, while the MAPE value for novel algorithm fuzzy time series is 0.19%. Based on the MAPE results, it can be concluded that the novel algorithm method fuzzy time series produces a better level of accuracy compared to the method average based fuzzy time series Markov chain.
{"title":"Perbandingan Tingkat Akurasi Metode Average Based Fuzzy Time Series Markov Chain dan Algoritma Novel Fuzzy Time Series","authors":"Syavira Habib Al-adawiyah, E. Alisah, A. Aziz","doi":"10.18860/jrmm.v1i3.14332","DOIUrl":"https://doi.org/10.18860/jrmm.v1i3.14332","url":null,"abstract":"Fuzzy time series method can be applied in predicting the situation in food price development data such as rice. The position of rice as a staple food has resulted in this commodity being one of the indicators of economic growth. The importance of suppressing rice prices so that they are stable can be done by forecasting rice prices in Indonesia in the future. The research method used for forecasting is average based fuzzy time series Markov chain and novel algorithms fuzzy time series. Researchers will compare the two methods in the case of rice prices by looking at the level of accuracy that is better. The data used in this study is the average monthly rice price at the wholesale trade level from January 2015 to March 2021 in units of Rp/Kg as much as 75 data. The results of the comparison of the level of accuracy using the value of Mean Absolute Percentage Error (MAPE), obtained the forecast of the average price of rice at the Indonesian wholesale trade level for average based fuzzy time series Markov chain which is 0.36%, while the MAPE value for novel algorithm fuzzy time series is 0.19%. Based on the MAPE results, it can be concluded that the novel algorithm method fuzzy time series produces a better level of accuracy compared to the method average based fuzzy time series Markov chain.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128348536","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}
Pub Date : 2022-02-28DOI: 10.18860/jrmm.v1i3.14440
Khoirotun Nisa, Hairur Rahman, A. Kusumastuti
This article discusses the solution to the fractional order SEIR equation with the help of the Homotopy Perturbation Method (HPM). This mathematical model is the SEIR model of the spread of COVID-19 cases in Indonesia. In general, the nonlinear Ordinary Differential Equation System (ODES) solution is quite difficult to solve analytically, so this research will transform the nonlinear ODES into a Fractional Differential Equation System (FDES). The method used in completing this research is the HPM method. The solution for the fractional order by the HPM method is obtained by the following steps: 1). Multiply each SEIR equation against the embedding parameter and equate each coefficient in the assumed infinite series to find the solution, 2). Simulate numerical solutions and perform graph interpretation. The numerical simulation shows that the susceptible human population, the infected human population without symptoms, the recovered human population has increased, in contrast to the infected human population with decreased symptoms. The HPM method in its numerical solution shows a fairly small comparison to the nonlinear ODES solution.
{"title":"Model Epidemi Suspected Exposed Infected Recovered (SEIR) Pada Penyebaran COVID-19 Orde-Fraksional","authors":"Khoirotun Nisa, Hairur Rahman, A. Kusumastuti","doi":"10.18860/jrmm.v1i3.14440","DOIUrl":"https://doi.org/10.18860/jrmm.v1i3.14440","url":null,"abstract":"This article discusses the solution to the fractional order SEIR equation with the help of the Homotopy Perturbation Method (HPM). This mathematical model is the SEIR model of the spread of COVID-19 cases in Indonesia. In general, the nonlinear Ordinary Differential Equation System (ODES) solution is quite difficult to solve analytically, so this research will transform the nonlinear ODES into a Fractional Differential Equation System (FDES). The method used in completing this research is the HPM method. The solution for the fractional order by the HPM method is obtained by the following steps: 1). Multiply each SEIR equation against the embedding parameter and equate each coefficient in the assumed infinite series to find the solution, 2). Simulate numerical solutions and perform graph interpretation. The numerical simulation shows that the susceptible human population, the infected human population without symptoms, the recovered human population has increased, in contrast to the infected human population with decreased symptoms. The HPM method in its numerical solution shows a fairly small comparison to the nonlinear ODES solution.","PeriodicalId":270235,"journal":{"name":"Jurnal Riset Mahasiswa Matematika","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131651770","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}
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