JMT : Jurnal Matematika dan Terapan最新文献_第3页

Analisis Kestabilan pada Model Matematika Deradikalisasi 反歧视数学模型的稳定性分析

JMT : Jurnal Matematika dan Terapan Pub Date : 2022-02-28 DOI: 10.21009/jmt.4.1.3

Wimbo Fari Suilo, Lukita Ambarwati, Eti Dwi Wiraningsih

{"title":"Analisis Kestabilan pada Model Matematika Deradikalisasi","authors":"Wimbo Fari Suilo, Lukita Ambarwati, Eti Dwi Wiraningsih","doi":"10.21009/jmt.4.1.3","DOIUrl":"https://doi.org/10.21009/jmt.4.1.3","url":null,"abstract":"Radicalization is a process by which individuals adopt political, social, and religious ideologies that lead to violence. Violent behavior in the radicalization process is the reason that radicalism is considered the cause of acts of terrorism. Therefore, to reduce this radicalization process, a deradicalization program is carried out. Deradicalization is an attempt to persuade adherents of radicalism to leave this notion. In order to determine the level of spread of radicalization, a mathematical model of deradicalization was made. The model consists of four compartments, namely, Susceptible, Extrimist, Recruiters, and Treatment. The model is analyzed by determining the equilibrium point and determining the base reproduction number ( ℜ0). If ℜ0<1 then the system will be locally asymptotically stable, and if ℜ0>1 then the system will be unstable. The simulation is carried out with the data that has been obtained, with the individual displacement parameters from the Extrimist compartment to the Treatment compartment with a value of 0.05 and the individual displacement from the Recruiters compartment to the Treatment compartment with a value of 0.165, simulation results show a graph that is stable to the point of endemic equilibrium. Meanwhile, if the value of individual displacement from the Extrimist and Recruiters compartments to the Treatment compartment is 0.5, the simulation results show that the graph gradually goes to zero.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"41 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":"124811964","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

Analisis Penyebaran Penyakit Covid-19 dengan Pengaruh Pengobatan Isolasi Mandiri dan Pengobatan Perawatan Rumah Sakit (Studi Kasus Penyebaran di DKI Jakarta) Covid-19疾病扩散分析与自我隔离和医院治疗相关(DKI雅加达传染病病例研究)

JMT : Jurnal Matematika dan Terapan Pub Date : 2022-02-28 DOI: 10.21009/jmt.4.1.4

Adam Victorio Alexis, Fariani Hermin Indiyah, Eti Dwi Wiraningsih

{"title":"Analisis Penyebaran Penyakit Covid-19 dengan Pengaruh Pengobatan Isolasi Mandiri dan Pengobatan Perawatan Rumah Sakit (Studi Kasus Penyebaran di DKI Jakarta)","authors":"Adam Victorio Alexis, Fariani Hermin Indiyah, Eti Dwi Wiraningsih","doi":"10.21009/jmt.4.1.4","DOIUrl":"https://doi.org/10.21009/jmt.4.1.4","url":null,"abstract":"In this research, a model for the spread of Covid-19 will be built using a differential equation because in the population there are two subpopulations who can spread the disease, there is one subpopulation who go through incubation period, and there are also 2 subpopulations who go through the treatment so the model will consists of compartments such as susceptible, exposed, asymptomatically infectious, symptomatically infectious, treatment 1 (self-isolation), treatment 2 (hospital care), and recovered. Analysis begins by calculating the disease-free equilibrium and endemic equilibrium. Before stability analysis, the model must be checked for adequacy in describing the disease spread. Stability analysis begins by forming the next generation matrix of the model with helps of jacobian matrix and chracteristic equation, then we can get basic reproduction number. By entering the value of parameters according to data to the basic reproduction number, we get reproduction number is 0,851115. The size of reproduction number means that the disease will disappear from the population.","PeriodicalId":299241,"journal":{"name":"JMT : Jurnal Matematika dan Terapan","volume":"52 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":"115253908","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

Penentuan Derajat Optimum Interpolasi pada Metode Lagrange dan Metode Newton Gregory dalam Mengestimasi Kasus Pasien Sembuh dari Covid-19 di Indonesia 确定拉格朗奇方法和牛顿方法中医治病人的最佳插值

JMT : Jurnal Matematika dan Terapan Pub Date : 2022-02-28 DOI: 10.21009/jmt.4.1.2

Muhammad Julian, Lukita Ambarwati, Yudi Mahatma

引用次数: 2

Pemodelan Geographically Weighted Regression Menggunakan Pembobot Kernel Fixed dan Adaptive pada Kasus Tingkat Pengangguran Terbuka di Indonesia

JMT : Jurnal Matematika dan Terapan Pub Date : 2022-02-28 DOI: 10.21009/jmt.4.1.5

Rizki Ramadayani, Fariani Hermin Indiyah, Ibnu Hadi

引用次数: 1

Simulasi Penjalaran Gelombang Tsunami Menggunakan Metode Optimal Time Stepping 扩散模拟海啸波的最佳使用方法正要定时炸弹

JMT : Jurnal Matematika dan Terapan Pub Date : 2021-02-12 DOI: 10.21009/JMT.3.1.2

Khoirun Nisa, Lukita Ambarwati, Tri Murdiyanto

引用次数: 1