Jurnal Diferensial https://ejurnal.undana.ac.id/index.php/JD <p><strong>DOI:</strong> <a href="https://doi.org/10.35508/jd">doi.org/10.35508</a>&nbsp; &nbsp;<strong>ISSN:</strong>&nbsp;<a href="https://portal.issn.org/resource/ISSN/2775-9644#">2775-9644</a></p> <p>Jurnal Diferensial is a scientific journal that aims to disseminate research results or literature reviews in the field of mathematics and its applications. Articles in this journal are focused on the field of mathematics and its applications. The scope or fields of science accepted in this journal (but not limited to)&nbsp;<strong>Numerical Analysis, Analysis, Algebra, Discrete Mathematics and Combinatorics, Graph Theory, Control and Optimization, Operations Research, Statistics and Data Science, Biomathematics.</strong></p> <p><br> <a style="display: inline-block;" href="https://sinta.kemdikbud.go.id/journals/profile/10068" target="_blank" rel="noopener"><img src="https://thumbs2.imgbox.com/23/c8/WF2krHxe_t.png"></a><a style="display: inline-block;" href="https://scholar.google.de/citations?user=MRtUiVEAAAAJ&amp;hl=en" target="_blank" rel="noopener"><img src="https://thumbs2.imgbox.com/9f/df/ozyaDrG0_t.jpg"></a> <a style="display: inline-block;" href="https://garuda.kemdikbud.go.id/journal/view/21000" target="_blank" rel="noopener"><img src="https://thumbs2.imgbox.com/87/e7/PnLvfOh5_t.png"></a> <a style="display: inline-block;" href="https://search.crossref.org/search/works?q=jurnal+diferensial&amp;from_ui=yes" target="_blank" rel="noopener"><img src="/RujUxYuks/site/images/wijaya/Crossref3.png"></a> <a style="display: inline-block;" href="https://app.dimensions.ai/discover/publication?and_facet_source_title=jour.1450559" target="_blank" rel="noopener"><img src="/RujUxYuks/site/images/wijaya/dimensions_small4.png"></a><a style="display: inline-block;" href="https://doaj.org/toc/2775-9644" target="_blank" rel="noopener"><img src="https://thumbs2.imgbox.com/8a/ec/ei16AL6x_t.png" width="80" height="80"></a></p> en-US <p>&nbsp;<img style="border-width: 0;" src="https://i.creativecommons.org/l/by-sa/4.0/88x31.png" alt="Creative Commons License">&nbsp;This work is licensed under a <a href="http://creativecommons.org/licenses/by-sa/4.0/" rel="license">Creative Commons Attribution-ShareAlike 4.0 International License</a>.</p> <p>&nbsp;Copyright is retained by the authors, and articles can be freely used and distributed by others.&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> diferensial@undana.ac.id (Program Studi Matematika FST Undana) ganesha2373@gmail.com (Ganesha Lapenangga) Tue, 01 Apr 2025 16:51:08 +0000 OJS 3.1.1.2 http://blogs.law.harvard.edu/tech/rss 60 PENERAPAN MODEL EKSPONENSIAL DAN MODEL LOGISTIK UNTUK MEMPROYEKSIKAN JUMLAH PENDUDUK KABUPATEN LOMBOK TIMUR https://ejurnal.undana.ac.id/index.php/JD/article/view/16201 <p>The significant population growth in East Lombok Regency presents challenges in policy planning, particularly in the education sector. To anticipate its impact, this research aims to compare exponential and logistic models in projecting the population until 2033. Employing a quantitative approach and utilizing secondary data from the Central Bureau of Statistics, this study analyzes population estimates using both models. The research findings indicate that the exponential model provides population estimates with higher confidence than the logistic model. This research can serve as a foundation for the East Lombok Regency Government in making decisions regarding development and human resource enhancement to improve community welfare. Additionally, the research findings demonstrate that mathematical models, such as population growth models, can be adapted for real-world context in differential equation courses, enriching mathematics learning.</p> Jihan Khairunnisa ##submission.copyrightStatement## http://creativecommons.org/licenses/by-sa/4.0 https://ejurnal.undana.ac.id/index.php/JD/article/view/16201 Tue, 01 Apr 2025 00:00:00 +0000 AGE-STRUCTURED (SVEIHR) MODEL FOR DIPHTHERIA TRANSMISSION ANALYSIS https://ejurnal.undana.ac.id/index.php/JD/article/view/17429 <p>The research investigates the transmission dynamics of diphtheria and the role of vaccination as<br>a prominent control measure. A novel Susceptible-Vaccinated-Exposed-Infectious-HospitalizedRecovered (SVEIHR) model is developed to analyze the spread of the disease among age-structured<br>populations. The study focuses on the existence and uniqueness of the disease-free equilibrium and<br>conducts stability analyses of both local and global equilibria. Sensitivity analysis of targeted parameters is performed to evaluate their impact on disease transmission dynamics. Numerical simulations<br>utilizing the Laplace Adomian Decomposition Method illustrate the effects of these parameters on<br>the compartments of the model, with results presented graphically. Through this comprehensive<br>analysis, the study aims to provide insights into the effectiveness of vaccination strategies in controlling diphtheria and inform evidence-based public health interventions.</p> mutairu Kolawole, Oladele Ojo FADARA, kazeem Abidoye ODEYEMI ##submission.copyrightStatement## http://creativecommons.org/licenses/by-sa/4.0 https://ejurnal.undana.ac.id/index.php/JD/article/view/17429 Fri, 04 Apr 2025 09:27:53 +0000 Indeks Harmonik, Randic, dan Gutman dari Graf Koprima Prima untuk Grup Bilangan Bulat Modulo https://ejurnal.undana.ac.id/index.php/JD/article/view/18227 <p>Graf koprima prima dari grup bilangan bulat adalah graf yang himpunan simpulnya adalah semua anggota grup. Dua buah simpul berbeda dikatakan dikatakan bertetangga jika faktor persekutuan terbesar dari order kedua simpul tersebut sama dengan 1 atau prima. Lebih jauh, grup bilangan bulat yang dikaji adalah Zn di mana n=p^k dengan p prima dan k&gt;=2. Kajian pada paper ini adalah mencari rumus umum dari beberapa indeks, yaitu Harmonik, Randic, dan Gutman</p> Abdurahim Abdurahim, Jihadil Qudsi, Siti Muawanah, Salwa Salwa ##submission.copyrightStatement## http://creativecommons.org/licenses/by-sa/4.0 https://ejurnal.undana.ac.id/index.php/JD/article/view/18227 Sat, 05 Apr 2025 13:18:18 +0000 Some Conditions for the Boundedness of Commutators of Fractional Integrals on Generalized Weighted Morrey Spaces https://ejurnal.undana.ac.id/index.php/JD/article/view/19996 <p>In this paper, we investigate the boundedness of commutators generated by $b\in BMO$ and fractional integrals $I_\alpha$ from $\mathcal{M}_{\psi_1}^{p,w^p}$ to $\mathcal{M}_{\psi_2}^{q,w^q}$ for $1&lt;p&lt;q&lt;\infty$. We obtain some new conditions for the pair $(\psi_1,\psi_2)$ of the functions $\psi_1$ and $\psi_2$ on $\mathbb{R}^n\times (0,\infty)$ that ensure the boundedness properties.</p> Yusuf Ramadana ##submission.copyrightStatement## http://creativecommons.org/licenses/by-sa/4.0 https://ejurnal.undana.ac.id/index.php/JD/article/view/19996 Tue, 08 Apr 2025 16:00:14 +0000 NUMERICAL SOLUTIONS FOR LINEAR INTEGRO-DIFFERENTIAL EQUATIONS USING SHIFTED LEGENDRE BASIS FUNCTIONS. https://ejurnal.undana.ac.id/index.php/JD/article/view/18137 <p>This research explore the use of Shifted Legendre Basis functions for the numerical solution of a specific class of integro-differential equations. These equations are known for their analytical complexity,<br>making it challenging to derive exact solutions. To address this, we employ an approximate method<br>using Legendre polynomials as basis functions, which provides an efficient approach to finding solutions for these complex problems. The proposed method is computationally efficient, requiring<br>minimal computational resources and storage. The results obtained demonstrate strong agreement<br>with existing solutions found in the literature, validating the accuracy and effectiveness of the approach. This study highlights the potential of Shifted Legendre Basis functions in solving challenging integro-differential equations, offering a reliable alternative to more computationally intensive<br>methods.</p> Olutola Olayemi Babalola, Ajimot Folasade ADEBISI ##submission.copyrightStatement## http://creativecommons.org/licenses/by-sa/4.0 https://ejurnal.undana.ac.id/index.php/JD/article/view/18137 Tue, 15 Apr 2025 12:38:30 +0000 Pemodelan Status Pengguna Keluarga Berencana (KB) Di Kota Mataram Menggunakan Metode Regresi Probit Biner https://ejurnal.undana.ac.id/index.php/JD/article/view/19532 <p>Status pengguna KB merupakan strategi penting dalam mengatur jarak antar kelahiran dan mencegah kehamilan yang tidak diinginkan. Program ini bertujuan untuk mengendalikan pertumbuhan populasi, mengurangi tingkat kelahiran, serta mengatur jarak antar kelahiran demi terciptanya keluarga yang sehat dan sejahtera. Status pengguna kontrasepsi dibedakan menjadi dua kategori: bukan pengguna dan pengguna kontrasepsi. Penelitian ini bertujuan untuk memodelkan status pengguna kontrasepsi di Kota Mataram menggunakan regresi probit biner, sekaligus menganalisis faktor-faktor berpengaruh secara signifikan. Data yang digunakan dalam penelitian ini adalah data status pengguna kontrasepsi di Kota Mataram tahun 2023 yang diperoleh dari Badan Pusat Statistika (BPS). Hasil penelitian menunjukkan bahwa faktor-faktor yang signifikan mempengaruhi status pengguna kontrasepsi di Kota Mataram meliputi usia istri, jenis pekerjaan istri, jenis pekerjaan suami, dan jumlah anak, dengan tingkat ketepatan klasifikasi sebesar 78.32%.</p> Zulhan Widya Baskara, Nur Asmita Purnamasari ##submission.copyrightStatement## http://creativecommons.org/licenses/by-sa/4.0 https://ejurnal.undana.ac.id/index.php/JD/article/view/19532 Wed, 16 Apr 2025 06:02:38 +0000