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Jurnal Diferensial
Published by Universitas Nusa Cendana
ISSN : -     EISSN : 27759644     DOI : -
Core Subject : Economy, Health, Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Public Health
Jurnal Diferensial adalah jurnal sains yang bertujuan untuk menyebarluaskan hasil riset-riset ataupun kajian pustaka pada bidang ilmu matematika dan terapannya. Artikel-artikel pada jurnal ini difokuskan kepada bidang ilmu matematika dan terapannya. Ruang lingkup atau bidang ilmu yang diterima dijurnal ini (tetapi tidak terbatas pada) adalah Analisis, Aljabar, Teori Graf, Optimisasi, Riset Operasi, Statistik, Biomatematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 7 Documents
 1 
Search results for , issue "Vol 7 No 1 (2025): April 2025" : 7 Documents clear
Penerapan Model Eksponensial dan Model Logistik untuk Memproyeksikan Jumlah Penduduk Kabupaten Lombok Timur Khairunnisa, Jihan
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.16201

Abstract

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.
Age-Structured (SVEIHR) Model for Diphtheria Transmission Analysis Kolawole, mutairu; FADARA, Oladele Ojo; ODEYEMI, kazeem Abidoye
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.17429

Abstract

The research investigates the transmission dynamics of diphtheria and the role of vaccination asa prominent control measure. A novel Susceptible-Vaccinated-Exposed-Infectious-HospitalizedRecovered (SVEIHR) model is developed to analyze the spread of the disease among age-structuredpopulations. The study focuses on the existence and uniqueness of the disease-free equilibrium andconducts stability analyses of both local and global equilibria. Sensitivity analysis of targeted parameters is performed to evaluate their impact on disease transmission dynamics. Numerical simulationsutilizing the Laplace Adomian Decomposition Method illustrate the effects of these parameters onthe compartments of the model, with results presented graphically. Through this comprehensiveanalysis, the study aims to provide insights into the effectiveness of vaccination strategies in controlling diphtheria and inform evidence-based public health interventions.
Numerical Solutions for Linear Integro-Differential Equations Using Shifted Legendre Basis Functions Babalola, Olutola Olayemi; ADEBISI, Ajimot Folasade
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.18137

Abstract

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,making it challenging to derive exact solutions. To address this, we employ an approximate methodusing Legendre polynomials as basis functions, which provides an efficient approach to finding solutions for these complex problems. The proposed method is computationally efficient, requiringminimal computational resources and storage. The results obtained demonstrate strong agreementwith 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 intensivemethods.
Indeks Harmonik, Randic, dan Gutman dari Graf Koprima Prima untuk Grup Bilangan Bulat Modulo Abdurahim, Abdurahim; Qudsi, Jihadil; Muawanah, Siti; Salwa, Salwa
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.18227

Abstract

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>=2. Kajian pada paper ini adalah mencari rumus umum dari beberapa indeks, yaitu Harmonik, Randic, dan Gutman
Some Conditions for the Boundedness of Commutators of Fractional Integrals on Generalized Weighted Morrey Spaces Ramadana, Yusuf
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.19996

Abstract

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 $1<p<q<\infty$. 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.
Pemodelan Status Pengguna Keluarga Berencana (KB) Di Kota Mataram Menggunakan Metode Regresi Probit Biner Zulhan Widya Baskara; Baskara, Zulhan Widya; Purnamasari, Nur Asmita; Angriani, Baiq Milla
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.19532

Abstract

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%.
Mathematical Dynamics of the (SVEITR) Model, the Impact of Treatment and Vaccination on Cholera Spread ODEYEMI, kazeem Abidoye; Kolawole, Mutairu Kayode
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.19395

Abstract

This study presents a mathematical analysis of the SVEITR model, which incorporates susceptible, vaccinated, exposed, infected, treatment, and recovered populations to evaluate the dynamics of cholera spread. By integrating treatment and vaccination rates into the model, we aim to understand their impact on disease transmission and immunity. Our findings reveal that combining rapid treatment and vaccination significantly reduces the spread of cholera, highlighting the importance of these interventions in public health strategies. The model demonstrates that timely and widespread implementation of vaccination and treatment can effectively control outbreaks and mitigate the disease's impact. Through a numerical simulation of Laplace decomposition method the result reveal that treatment rate reduces the emanation of the disease and vaccination plays a vital role in curbing aftermath effect of wide-spread of the disease. Hence, the need for robust healthcare policies that prioritize these measures to achieve substantial progress in managing and eventually eradicating cholera, particularly in vulnerable regions. The SVEITR model provides a valuable framework for policymakers and healthcare professionals to devise efficient strategies for cholera control, contributing to improved public health outcomes.

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