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The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model Hasan S. Panigoro; Emli Rahmi; Novianita Achmad; Sri Lestari Mahmud
Jambura Journal of Mathematics Vol 2, No 2: Juli 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (504.111 KB) | DOI: 10.34312/jjom.v2i2.4566

Abstract

In this paper, the influence of additive Allee effect in prey and periodic harvesting in predator to the dynamics of the Leslie-Gower predator-prey model is proposed. We first simplify the model to the non-dimensional system by scaling the variable and transform the model into an autonomous system. If the effect Allee is weak, we have at most two equilibrium points, else if the Allee effect is strong, at most four equilibrium points may exist. Furthermore, the behavior of the system around equilibrium points is investigated. In the end, we give numerical simulations to support theoretical results.
Pemodelan Pneumonia Berat Menggunakan Regresi Zero Inflated Negative Binomial di Gorontalo Novianita Achmad; Muhammad Rezky Friesta Payu; Yolanda Rahim
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.13990

Abstract

In certain cases, the response variable has an excess zero that causes overdispersion. Therefore, to overcome overdispersion because excess zero Zero-inflated negative binomial regression can be used. The purpose of this study is to apply Zero inflated negative binomial regression to model the case of severe pneumonia in Bone Bolango and on the city of Gorontalo. Based on the result of ZINB Regression, it was found that there are 3 (three) factors that are significant that is ASI, Vitamin A, and low birth weight.
Deskripsi Penggunaan Media E-Learning dalam Pembelajaran Matematika di Masa Pandemi Covid-19 Evi Hulukati; Novianita Achmad; Muhammad Afdal Bau
Jambura Journal of Mathematics Education Vol 2, No 1: Maret 2021
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jmathedu.v2i1.10061

Abstract

Penelitian ini bertujuan untuk mendeskripsikan Penggunaan  media e-learning dalam pembelajaran matematika di masa pandemi (Covid-19). Penelitian ini adalah penelitian deskriptif  kuantitatif dengan populasi seluruh peserta didik kelas IX SMP N 4 Kota Gorontalo yang berjumlah 217 peserta didik. Sampel dalam penelitian sebanyak 22 orang. Teknik pengambilan sampel yaitu simple random sampling. Data penelitian diperoleh dari lembar pengamatan guru dan peserta didik terkait penggunaan media e-learning ( Zoom, Whatsapp, Google Classroom), tes hasil belajar angket respon peserta didik  serta wawancara guru dan peserta didik tentang penggunaan media  e-learning dalam pembelajaran matematika di masa pandemi. Hasil penelitian menunjukan bahwa penggunaan media e-learning dalam pembelajaran matematika di masa pandemi berada pada kategori kurang baik  yang ditunjukan dengan Kegiatan Guru memperoleh rata-rata presentase 54,4%, kegiatan Peserta didik memperoleh rata-rata 60%, respon peserta didik memperoleh rata-rata 73,6%, dan tes hasil belajar presentase peserta didik yang tuntas adalah 45.4% dan peserta didik yang tidak tuntas sebesar 54,5%.
Analisis Kualitas Tes Hasil Belajar Matematika Buatan Guru di SMP Negeri 4 Gorontalo Farianti A. Tiban; Novianita Achmad; Siti Zakiyah
Jambura Journal of Mathematics Education Vol 2, No 2: September 2021
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jmathedu.v2i2.11103

Abstract

This research was conducted with the aim of knowing the quality of teacher-made tests, this study was conducted at SMP Negeri 4 Gorontalo in the 2020/2021 school year. Subjects in the study in the form of odd semester final exam tests of mathematics subjects given to students along with the answers/responses of students to the tests given. The student in question is a class VIII student with a total of 266 students. The quality of the teacher's math tests is analyzed based on the difficulty level, differentiating power, and function of the extractor. The results showed that the quality of mathematics tests made by teachers in State Junior High School 4 Gorontalo as many as 25 items with objective forms can be categorized as less good. This is indicated by the three indicators used to fall into the category of less good. 
Analisis Kesulitan Pembelajaran Daring pada Mata Pelajaran Matematika di Tengah Pandemi Covid-19 Riskawati Riskawati; Novianita Achmad; Nursiya Bito
Jambura Journal of Mathematics Education Vol 2, No 2: September 2021
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jmathedu.v2i2.11105

Abstract

This study aims to describe the difficulties of online learning in mathematics subjects in the midst of the Covid-19 pandemic. This research is a descriptive research with a quantitative approach. The subjects in this study were students of class VIII 3 and VIII 4 at SMP Negeri 4 Gorontalo. Data collection was obtained from data from questionnaires and student interviews. To see student responses in online learning on mathematics subjects in the midst of the Covid-19 pandemic, a questionnaire was given with indicators, namely: (1) Difficulty in accessing the internet network and operating online media during learning, and (2) Difficulty in understanding objects, facts, concepts, principles and mathematical operations. Based on the data obtained from 61 students, there were 8 students in the high category, 41 students in the moderate category and 12 students in the low category. This means that the difficulty level of online learning in mathematics subjects in the midst of the Covid-19 pandemic in class VIII of SMP Negeri 4 Gorontalo is in the Medium category.
Hubungan Antara Self Regulated Learning dengan Hasil Belajar Matematika Pada Materi Trigonometri Rahmi Nindi Arsyad; Sarson W. Dj. Pomalato; Nurhayati Abbas; Novianita Achmad
Jambura Journal of Mathematics Education Vol 3, No 1: Maret 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jmathedu.v3i1.12423

Abstract

This article discusses the survey research aims to find out the Correlation between self-regulated learning and students’ mathematics learning outcomes in the topic of trigonometry in SMA Negeri 1 Gorontalo. This study focuses on 32 eleventh-grade students in the site area during the academic year of 2018/2019. Moreover, a multiple-choice test was used to collect the data on mathematics learning outcomes, as well as a questionnaire to collect data on self-regulated learning. The hypothesis was tested using the regression and correlational analysis test. The result indicates that self-regulated learning positively correlates with students’ mathematics learning outcomes with the correlational and determination coefficient values of 0.6311 and 40%, respectively. In other words, such a learning model contributes 40% to mathematics learning outcomes; the remaining 60% is influenced by other factors excluded in this research.
Model matematika SMEIUR pada penyebaran penyakit campak dengan faktor pengobatan Anisa Fitra Dila Hubu; Novianita Achmad; Nurwan Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, State University of Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.7970

Abstract

This study discusses the spread of measles in a mathematical model. Mathematical modeling is not only limited to the world of mathematics but can also be applied in the health sector. Measles is a disease with a high transmission rate. The spread of measles in this model was modified by adding the treated population and the treatment parameters of the exposed population. In this article, we examine the equilibrium points in the SMEIUR mathematical model and perform stability analysis and numerical simulations. In this study, two equilibrium points were obtained, namely the disease-free and endemic equilibrium point. After getting the equilibrium point, an analysis is carried out to find the stability of the model. Furthermore, the simulation produces a stable disease-free equilibrium point at conditions R01 and a stable endemic equilibrium point at conditions R01. In this study, a numerical simulation was carried out to see population dynamics by varying the parameter values. The simulation results show that to reduce the spread of measles, it is necessary to increase the rate of advanced immunization, the rate of the infected population undergoing treatment, and the proportion of individuals who are treated cured.
Revitalisasi Danau Limboto dengan Pengerukan Endapan di Danau: Pemodelan, Analisis, dan Simulasinya Sri Lestari Mahmud; Novianita Achmad; Hasan S. Panigoro
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 1: June 2020
Publisher : Department of Mathematics, State University of Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i1.6945

Abstract

Limboto lake is one of assets of Province of Gorontalo that provides many benefits to the surrounding society. The main problem of Limboto lake is the silting of the lake due to sedimentation caused by forest erosion, household waste, water hyacinth, and fish farming which is not environmentally friendly. In this article, a mathematical approach is used to modeling the Limboto lake siltation by including the revitalization solution namely the lake dredging. Mathematical modeling begins by building and limiting assumptions, constructing variables and parameters in mathematical symbols, and forming them into a first order differential equation system deterministically. Furthermore, we study the dynamics of the model such as identifying the existence of equilibrium points and their stability conditions. We also give a numerical simulations to show the conditions based on the stability requirements in previous analytical results.
ANALISIS MODEL MATEMATIKA PENYEBARAN COVID-19 DENGAN INTERVENSI VAKSINASI DAN PENGOBATAN AGUSYARIF REZKA NUHA; NOVIANITA ACHMAD; NUR ’AIN SUPU
Jurnal Matematika UNAND Vol 10, No 3 (2021)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.10.3.406-422.2021

Abstract

Coronavirus Disease-2019 (COVID-19) merupakan suatu virus yang dapat menyebabkan penyakit menular dengan gejala batuk, demam, hilangnya indra perasa maupun penciuman, hingga sesak napas. Proses penyebaran penyakit terjadi ketika adanya kontak dari individu terinfeksi dengan individu rentan, baik secara langsung maupun tidak langsung. Penelitian ini dilakukan untuk merumuskan model matematika penyebaran COVID-19, melakukan analisis kestabilan model, dan simulasi numerik. Berdasarkan asumsi serta pertimbangan dalam membangun model diperoleh suatu model matematika penyebaran Covid-19 tipe SVIR yang terdiri atas empat kelas populasi, yaitu kelas populasi; individu rentan (S), individu tervaksin (V), individu terinfeksi (I), dan individu sembuh dari COVID-19 (R). Sifat kestabilan titik kesetimbangan model bergantung pada perubahan nilai bilangan reproduksi dasar (<0). Titik kesetimbangan bebas penyakit E0 bersifat stabil asimtotik lokal jika <0 < 1, serta tidak stabil jika <0 > 1. Titik kesetimbangan bebas penyakit E0 akan selalu ada, serta titik kesetimbangan endemik E∗ unik dan positif jika dan hanya jika <0 > 1. Simulasi numerik menggambarkan bahwa sistem berada pada kondisi stabil disekitar titik kesetimbangan endemik. Peningkatan laju vaksinasi dan laju efektivitas pengobatan masing-masing dapat menekan jumlah kasus infeksi COVID-19. Sedangkan peningkatan laju penyusutan vaksin dan laju penurunan efektivitas vaksin dapat mengakibatkan jumlah kasus infeksi COVID-19 terus meningkat.Kata Kunci: COVID-19, Model SVIR, Titik Kesetimbangan
Analisis Sensitivitas dalam Optimasi Keuntungan Produksi Kue Ulang Tahun dengan Metode Branch and Bound Monalisa Ismail; Novianita Achmad; Sri Lestari Mahmud
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 2 December 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i2.15307

Abstract

The increasingly rapid development of the business world requires companies engaged in industry, trade, and services to continue to optimize their business activities to win the market competition. Mikaila Bakery is one of the businesses producing birthday cakes in Gorontalo Province. In the birthday cake business at Mikaila Bakery, so far, the amount of production is only determined by estimates, so profits do not reach optimal profits. This study aimed to determine the optimal profit obtained in the production of birthday cakes at Mikaila bakery using the branch and bound method and to determine the results of sensitivity analysis to changes in the objective function coefficients and constraint functions in the branch and bound method. The analysis results show that using the branch and bound method, Mikaila Bakery's cake shop gets an optimal profit of Rp. 38,433,000 per month or an increase of Rp. 3.4% of the previous profit. The results of the sensitivity analysis show that profits will remain in optimal conditions if the birthday cake business at Mikaila Bakery follows the changes that occur in the coefficient of the objective function and the constraint function based on the upper bound and lower bound according to the output. Which has been generated using POM-QM software.