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Analisis Dinamik Model Matematika Penyebaran COVID-19 Pada Populasi SEIR Meyliana, Ester; Kusumastuti, Ari; Juhari, Juhari
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i4.14458

Abstract

This study discusses the dynamic analysis of the mathematical model of the spread of COVID-19 using daily cases in Indonesia which are classified into four variables, namely, Susceptible (S), Exposed (E), Infected (I), and Recovered (R) which are then analyzed dynamically by calculate the equilibrium point and look for stability properties. The two equilibrium points of this model are the disease-free equilibrium point  and the endemic equilibrium point . Then, it is linearized around the equilibrium point using the given parameters. Linearization around the equilibrium point  produces four eigenvalues, one of which is positive. Linearization around the equilibrium point  yields two negative real eigenvalues and a pair of complex eigenvalues with negative real parts. Phase portraits and numerical simulations have shown that all variables S, E, I, and R will be asymptotically stable locally towards the equilibrium point, namely the endemic equilibrium point . Thus, based on the dynamic analysis obtained, it is shown that the disease-free equilibrium point  is unstable and the endemic equilibrium point is locally asymptotically stable.
Simulasi Numerik Model Matematika Vibrasi Dawai Flying Fox Menggunakan Metode Adams-Bashforth-Moulton Utami, Febry Noorfitriana; Kusumastuti, Ari; Juhari, Juhari
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i1.14512

Abstract

This study discusses numerical simulation using the Adams-Bashforth-Moulton (ABM) method of order 4 in the flying fox string mathematical model which is in the form of ordinary differential equations depending on time, consisting of two equations, namely the equation of the flying fox string y(t) and the angular equation of the flying fox string θ(t). This mathematical model is a model that has been constructed by Kusumastuti, et al (2017) and has been validated by comparing analytical solutions to its numerical solutions by Sari (2018). The analysis of the behavior of the Kusumastuti 2017 model conducted by Makfiroh (2020) shows that the phase portrait graph is in the form of a spiral with eigenvectors pointing towards the equilibrium point so that the mathematical model of the flying fox string vibration can be concluded as a valid mathematical model that is close to the actual situation. This study attempts to determine the numerical simulation of the deflection of the flying fox string y(t) and the numerical simulation of the angle of the flying fox string θ(t). The Runge-Kutta method of order 4 was used to generate 3 initial values for order 4 ABM. Next, a comparison of the y(t) and θ(t) solution graphs of order 4 ABM with the solution graph with Runge-Kutta of order 4 was performed in Sari 2018. The first simulation was carried out when h=1, the difference in the value of y(t) of order 4 ABM and Runge-Kutta order 4 fluctuated in the range of [0,0.09] with almost the same graphic profile, and the difference in the value of θ(t) ABM of order 4, and Runge-Kuta order 4 which is quite large with different graphic profiles. The second simulation was carried out when h=0.01, the difference in the value of y(t) of order 4 ABM and Runge-Kutta order 4 was fluctuating which also ranged from [0.0.09] with the same graphic profile, and the difference in the values of θ(t) ABM of order 4 and Runge -Kutta order 4 fluctuates in the range of [0,1] with the same graphic profile. So concluded that when h=0.01 comparison of ABM of order 4 and Runge-Kutta of order 4 is the best for displaying the graph profiles of y(t) and θ(t). Further research can explore numerical solutions using other methods.
Penerapan Algoritma Floyd-Warshall pada Jalur Evakuasi Korban Kecelakaan di Boyolali Sari, Fitri Nofita; Juhari, Juhari; Herawati, erna
Jurnal Riset Mahasiswa Matematika Vol 2, No 5 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i5.22006

Abstract

The Floyd-Warshall algorithm is one of the algorithms that can be used to solve the shoetest route problem and is the easiests to apply because it can find all the shortest routes between each possible pair of position and is part of a dynamic program that is very efficient in solving optimal route promblems. The Floyd-Warshall algorithm works by comparing each possible path on the graph for each node pair and checking the resulting node combination. The problem of the shortest route in daily life is the evacuation of victims of traffic accidents in Boyolali, Central Java. For evacuation to be more effective, a nearby route to the nearest hospital is needed. Based on the results of the research that has been done, it can be concluded that the study produced reference matrix in the form of the shortest trajectory used to determine the shortest route to nearest hospital in Boyolali, Central Java.
Prosedur Fuzzy Tahani Menggunakan Fungsi Representatif Kurva Segitiga dan Trapesium Sofia, Wise Ahmad; Juhari, Juhari
Jurnal Riset Mahasiswa Matematika Vol 1, No 1 (2021): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i1.13819

Abstract

Fuzzy Tahani is one of the developments of fuzzy logic applications. This study will explain the fuzzy Tahani procedure using representative membership functions of triangular and trapezoidal curves with fuzzification steps, determining fuzzy domains, membership functions and degrees, compiling criteria, determining fire strength values, and determining recommendation results. The fuzzy Tahani method uses the AND operation so as to produce a minimum fire strength value that affects the recommendation results. Then the research variables used are price, dimensions, weight, battery capacity, and screen display variables. For the triangular curve there are 3 fuzzy sets, namely small, medium, and large, while the trapezoidal curve consists of 4 fuzzy sets, namely small, medium, large, and very large. The data used in this study is secondary smartphone data, branded Oppo, Xiaomi, Samsung, Vivo, and Asus. From the results of smartphone data analysis according to the Fuzzy Tahani method used, these variables are processed by entering the rules, amounting to 243 for triangular curves and 1,024 for trapezoidal curves and then processed using AND operation and the conclusion is that triangular curves are better than trapezoidal curves. in recommending the purchase of a smartphone
Penentuan Rute Terpendek Di Kantor Pos Kabupaten Blitar Dalam Pendistribusian Paket Menggunakan Algoritma Clarke And Wright Savings Puji Wianto, Wildan Faried Anshoriy; Juhari, Juhari; Nasichuddin, Achmad
Jurnal Riset Mahasiswa Matematika Vol 2, No 6 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i6.22413

Abstract

Marketing strategy is a very important part in the execution of the overall corporate strategy, especially in a very tight competitor state. Route is a very important aspect considered by goods distribution companies. An effective and efficient distribution process is one of the factors whose conditions begin to align with other indicators in an effort to achieve customer satisfaction. The strategy that can be done is to involve calculating algorithms in contributing systematic and measurable solutions. The  Clarke and  Wright Savings algorithm is an effective method in determining the shortest route of distributing goods, because the Clarke and Wright Savings method  has its own heuristics which make savings in   the form of mileage or distribution time. This study aims to determine the shortest route at the Blitar checkpoint post office (KPRK) in distributing express service type bags to each branch post office point (KPC) using the Clarke and Wright Savings Algorithm.  The results of the discussion on the application of  the Clarke and Wright Savings  method to determine the shortest route for the service bag distribution fleet from the KPRK Blitar post office to KPC can be concluded that, there are two initial routes owned by the company with a total delivery distance of 189.7 km. After calculation, two routes with the shortest distance will be traveled with a total delivery distance of 171 km. Route group 1 is Blitar Post Office à KPC Garum à KPC Nglegokà KPC  Gandusarià KPC Talun KPC Wlingi à KPC Doko à KPC Kesamben à KPC Selopuroà KPC  Binangun à KPC  Kanigoro à KPC Lodoyo à  KPC Kademangan à Post Office with a distance of 116.7 km. As for route 2, namely the blitar  post office à KPC Sanan Kulon à KPC Ponggok à KPC Srengat à KPC Kademangan à KPC Udanawu à Blitar post office with a distance of 54.3 km. With the establishment of routes with the closest distance, the company can save mileage by 9.85%.
On the Application of Noiseless Steganography and Elliptic Curves Cryptography Digital Signature Algorithm Methods in Securing Text Messages Juhari, Juhari; Andrean, Mohamad Febry
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 3 (2022): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i3.17358

Abstract

Elliptic curve cryptography includes symmetric key cryptography systems that base their security on mathematical problems of elliptic curves. There are several ways that can be used to define the elliptic curve equation that depends on the infinite field used, one of which is the infinite field prima (  where ). Elliptic curve cryptography can be used for multiple protocol purposes, digital signatures, and encryption schemes.The purpose of this study is to determine the process of hiding encrypted messages using the Noiseless Steganography method  as well as the generation of private keys and public keys and the process of verifying the validity of the Elliptic Curves Cryptography Digital Signature Algorithm (ECDSA).  The result of this thesis is that a line graph is obtained that store or hides a message using the steganography method and a message authenticity from the process of key generation and verification of validity using the ECDSA method. By selecting three samples consisting of one test sample and two differentiating samples, a line graph,  an MD5 hash value, and a value at the point are obtained  different. Successively obtained values  to message “Matematika 2018”, “MATEMATIKA 2018”, and “2018 matematika” are and . The discussion in this thesis only covers the elliptic curves on prime finite field. So, for the next thesis, the next researcher can do a discussion about the elliptic curve on the finite field  or the application of elliptic curve cryptography and other steganographic methods
PEMIDANAAN BAGI NAHKODA YANG MELAKUKAN KEGIATAN MENUNDA DALAM PELAYARAN TANPA PERSETUJUAN DARI SYAHBANDAR Juhari, Juhari
Res Nullius Law Journal Vol 5 No 1 (2023): Volume 5 No 1 Januari 2023
Publisher : Fakultas Hukum Universitas Komputer Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34010/rnlj.v5i1.8494

Abstract

The captain of the ship carrying out repair activities, sailing trials, loading and unloading activities at the port pool, delaying, and loading and unloading dangerous goods must obtain approval from the harbormaster. That the term delay in sailing means to hold, pull, push or stick. The formulation of the problem in this research is: how is the punishment for the captain who delays the voyage without the approval of the porter based on the Law of the Republic of Indonesia Number 17 of 2008 concerning Shipping, What are the obstacles faced by the judge in the implementation of punishment for the captain who delays the voyage without the approval of the porter based on the Law of the Republic of Indonesia Number 17 of 2008 concerning Shipping. This research method uses a normative juridical type of research, namely by reviewing/analyzing secondary data in the form of legal materials, especially primary legal materials and secondary legal materials by understanding law as a set of rules or positive norms in the legal system. an invitation that regulates human life. Results of research and data analysis: Criminal based on legal facts proven to meet the elements of Article 322, Law of the Republic of Indonesia No. 17 of 2008 concerning Shipping, stated that the Defendant Noveriyanto Bin Sugiman, was legally and convincingly proven guilty of committing the crime of “The skipper who carried out delaying activities without the approval of the harbormaster, as in the third indictment. The verdict was imposed with cumulative sanctions with fines without imprisonment, this shows that the judge complies with positive law in force in Indonesia by using the legal basis in the form of Law of the Republic of Indonesia No. 17 of 2008 concerning Shipping.
Global Stability Analysis of Susceptible, Infected, Recovered (S, I, R) Model Measles Vaccination Based on Age Juhari, Juhari; Karinina, Olivia; Aziz, Abdul; Alisah, Evawati
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 5, No 2 (2023)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v5i2.32318

Abstract

AbstractThis study discusses the behavioral analysis model of the Susceptible-Infected-Recovered (SIR) epidemic of the spread of measles based on age structure. The total population of measles is grouped into four age groups, namely the first age group (0-4 years), the second age group (5-9 years), the third age group (10-14 years) and the fourth age group (> 15 years). The steps in modeling behavior can be done by determining the equilibrium point, and the basic reproduction number and performing a global stability analysis by building the Lyapunov function. This research contributes to providing information both to the government and the community.Keywords: Epidemic Model; SIR; Lyapunov function; Measles. AbstrakPenelitian ini membahas model analisis perilaku epidemi Susceptible-Infected-Recovered (SIR) penyebaran campak berdasarkan struktur umur. Jumlah penduduk yang terkena campak dikelompokkan menjadi empat kelompok umur, yaitu kelompok umur pertama (0-4 tahun), kelompok umur kedua (5-9 tahun), kelompok umur ketiga (10-14 tahun) dan kelompok umur keempat. (> 15 tahun). Langkah-langkah dalam pemodelan perilaku dapat dilakukan dengan menentukan titik ekuilibrium, bilangan reproduksi dasar dan melakukan analisis stabilitas global dengan membangun fungsi Lyapunov. Penelitian ini memberikan kontribusi untuk memberikan informasi baik kepada pemerintah maupun masyarakat.Kata Kunci: Model Epidemi; PAK; fungsi Lyapunov; Campak. 2020MSC: 00A71.
Analysis of Porter's Five Forces on PT. Bank Rakyat Indonesia (Persero), Tbk Juhari, Juhari; Anshori, Mochammad; Adriani, Nurita
Jurnal Ilmiah Manajemen Kesatuan Vol. 11 No. 3 (2023): JIMKES Edisi Desember 2023
Publisher : LPPM Institut Bisnis dan Informatika Kesatuan

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

The aim of this research is to analyze Porter’s Five competitive force strategies of PT. Bank Rakyat Indonesia (Persero), Tbk. To compete in the banking industry. The research method used is a descriptive qualitative method. The data used is secondary data, with data collection using documentation data. From the results of research using five competitive forces PT. Bank Rakyat Indonesia (Persero), Tbk has a competitive advantage in the field of MSME credit, in lending. In 2022, BRI distributed credit amounting to 16.05% of total national credit. In maintaining this competitive advantage, BRI develops transformation strategies innovation in facing competition and change (adaptable). BRI provides digital services in banking activities, whether opening an account or making transactions using the Brimo application, even at the medium business or corporate level use the Business Internet Banking Application (Ibbiz) with more complete facilities.
MODEL PENGENTASAN KEMISKINAN EKSTREM UNTUK PENCEGAHAN KESENJANGAN SOSIAL DI INDONESIA DALAM PERSPEKTIF SOSIOLOGI DAN HUKUM ISLAM Fauzi, Fauzi; mahmuddin, Mahmuddin; Juhari, Juhari; Amirulkamar, Said; Hidayati, Ummunisa
Al-Risalah Vol 23 No 2 (2023): December 2023
Publisher : Fakultas Syariah UIN Sulthan Thaha Saifuddin Jambi, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30631/alrisalah.v23i2.1429

Abstract

Abstract: Poverty alleviation and social inequality in Indonesia is a very complex issue overall in various regions in Indonesia Extreme poverty alleviation refers to deliberate efforts aimed at reducing or eliminating extreme poverty, which relates to circumstances in which individuals or households live below the poverty line is so small that they cannot meet their basic needs to survive. This study aims to analyze the extreme poverty alleviation model to prevent social inequality in Indonesia from the perspective of Islamic sociology and law and focuses on reviewing these problems through the perspective of sociology and Islamic law. The qualitative research method is descriptive. Source of data obtained through the official website, mass media, journals, regulations, and books. The data analysis technique uses the Nvivo 12 plus analysis technique which uses the crosstab feature. The results of the study show that the extreme poverty alleviation model that is applied is budgeting and collaboration. Poverty alleviation to prevent social inequality in Indonesia has been carried out by the Government of Indonesia to reduce the poverty rate to 0 percent in the following year. Poverty alleviation in Indonesia through the budgeting system requires the implementation of well-structured and sustainable strategies. Budgeting and collaboration between government and society play an important role in allocating appropriate resources for initiatives and policies aimed at reducing or eliminating extreme poverty. Keywords: Poverty Alleviation, Social Inequality, Sociology, Islamic Law.
Co-Authors A Rosa, Ramadani Abdul Aziz Adi Susilo Aditya, M. Ircham Adriani, Nurita Agung Teguh Wibowo Almais Agus Naba Akbar, Rizqi Ardika Akhadah, Sisilia Firda Laila Alghar, Muhammad Zia Alianda W, Najwa Andrean, Mohamad Febry Ardiansyah, Zidni Permana Ari Kusumastuti Arif, Weldy Az-Zahra, Aisyah Dhifa Dilla, Diva Fara DWI ANDREAS SANTOSA Dwi N, M. Zaky Erna Herawati, Erna Erny Octafiatiningsih, Erny Evawati Alisah Fajrin, Rahma Annisa Fatin Dzahabiy, Amirah Salsabila Syahirah Fauzi Fauzi Feby Ariyanti, Adelia Irma Fibrianto, Ary Fikrina, Zulfa Akfi Habibi, Khairul Hairur Rahman Hakim , Zainal Hasanah, Sofiatul Hidayati, Ummunisa Holanda, Sella Husna, Faridatul Imam Sujarwo Iskandar Iskandar Karinina, Olivia Kiswari, Dianing Kurnia, Silvi Kurniawan, Rony Setyo Lestari, Wahyu Tri Mahmuddin Mahmuddin Marzuki, Ahmed Syarief Meyliana, Ester Moechammad Sarosa Mohammad Isa Irawan Mohammad Jamhuri Mohammad Nafie Jauhari Mondal, Kartick Chandra Muhammad Khudzaifah Muis, Muhammad Abdul Mulyadi Mulyadi Nasichuddin, Achmad Nasir, Yusran Nur’azkia R, Nazwa Permata, Hendrik Widya Pranata, Farahnas Imaniyah Pratiwi, Alfrista Anggraini Puji Wianto, Wildan Faried Anshoriy Putri, Inanda Rachmawati, Mila Rahmadhani, Anis Putri Rasyidah, Jihan Fikri Reza, M. Aulia Ria Dhea Layla Nur Karisma Rika Dina Amalia, Dina Amalia Rossi Maunofa Widayat RR. Ella Evrita Hestiandari Safitri, Alisa Ayu Said Amirulkamar Sari, Fitri Nofita Sari, Silvi Puspita shidieq, faris majdie Siti Amiroch, Siti Sofia, Wise Ahmad Sri Harini Sukroni, Achmad Faiz Sutrisno, Sutrisno Syafi'ah, Nurus Taufik Iskandar Triyono, Gandung Tunggal Saputra, Tri Aji Turmudi Ulung Pribadi, Ulung Ulya, Diah Mariatul Usman Pagalay Utami, Febry Noorfitriana Vivi Aida Fitria Wahyuni, Diah Maghfiroh Yuliana, Rossima Eva Yuri Is, Manaf Zakariya, Husni Zufriady, Zufriady