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Jurnal Matematika UNAND
Published by Universitas Andalas
ISSN : 2303291X     EISSN : 27219410     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Fokus dan Lingkup dari Jurnal Matematika FMIPA Unand meliputi topik-topik dalam Matematika sebagai berikut : Analisis dan Geometri Aljabar Matematika Terapan Matematika Kombinatorika Statistika dan Teori Peluang.
Arjuna Subject : -
Articles 15 Documents
 1   2 
Search results for , issue "Vol. 13 No. 4 (2024)" : 15 Documents clear
ESSENTIAL PROPERTIES RELATED TO SHORT-TIME FRACTIONAL FOURIER TRANSFORM SULASTERI, SRI; BACHTIAR, NASRULLAH; EKASASMITA, WAHYUNI
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.316-323.2024

Abstract

We start by defining the short-time fractional Fourier transform in this paper, which is a natural generalization of the fractional Fourier transform. We then investigate its essential properties and explore an uncertainty principle related to this proposed transformation.
KARAKTERISASI POHON DENGAN BILANGAN DOMINASI-LOKASI-METRIK TIGA Zulfaneti, Zulfaneti; Baskoro, Edy Tri; Assiyatun, Hilda
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.340-348.2024

Abstract

Misalkan G = (V;E) adalah graf sederhana dan terhubung. Untuk suatu himpunan R = fr1; r2; : : : ; rkg V dan v 2 V , representasi titik v terhadap R adalah vektor r(vjR) = (d(v; r1); d(v; r2); : : : ; d(v; rk)) dimana d(v; r) menyatakan jarak titik v dan titik r. Himpunan R disebut himpunan pembeda dari G jika semua titik di G memiliki representasi unik terhadap R. Himpunan D disebut himpunan dominasi dari G jikasetiap titik di G-D bertetangga dengan suatu titik v 2 D. Suatu himpunan dominasidan juga merupakan himpunan pembeda disebut himpunan dominasi-lokasi-metrik dariG. Kardinalitas dari himpunan dominasi-lokasi-metrik minimum dari G disebut bilangan dominasi-lokasi-metrik dari G. Semua graf orde n dengan bilangan dominasi-lokasi-metrik 1, 2, n-2 dan n-3 telah ditentukan secara lengkap. Dalam tulisan ini, kamimengkarakterisasi semua pohon dengan bilangan-dominasi-lokasi-metrik 3 dan secarakhusus membuktikan bahwa tidak ada pohon dengan bilangan-dominasi-lokasi-metriksama dengan dimensi metriknya.
On Metric Dimension of Edge Comb Product of Symmetric Graphs Maryati, Tita Khalis; Sobiruddin, Dindin; Hadiputra, Fawwaz Fakhrurrozi
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.349-357.2024

Abstract

Consider a finite graph G that is simple, undirected, and connected. Let W be an ordered set of vertices with |W| = k. The representation of a vertex v is defined as an ordered k-tuple that consists of the distances from vertex v to each vertex in W. The set W is called a resolving set for G if the k-tuples for any two vertices in G are distinct. The metric dimension of G, denoted by dim(G), is the smallest possible size of such a set W. In this paper, we determine the metric dimension of edge comb product of trees with complete multipartites or petersen graphs.
ANALISIS KESTABILAN MODEL DINAMIKA PERCERAIAN MVQEDR Bahri, Susila; Hutagalung, Miya Qarlina; EFENDI, EFENDI; MUHAFZAN, MUHAFZAN
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.358-372.2024

Abstract

Tiga faktor penyebab perceraian, yaitu masalah ekonomi rumah tangga, perselisihan dan pertengkaran terus- menerus, dan kekerasan dalam rumah tangga, masih memberikan kontribusi besar terhadap angka perceraian di Indonesia. Meskipun pemerintah telah melakukan upaya penyuluhan bagi ketiga kelompok rumah tangga tersebut, namun pada kenyataannya kasus perceraian tidak kunjung berkurang. Oleh karena itu, perlu diketahui secara pasti seberapa besar pengaruh penyuluhan yang telah dilaksanakan oleh pemerintah terhadap kelompok ini. Pada penelitian ini, model matematika MVQEDR terlebih dahulu dibangun. Analisis kestabilan titik ekuilibrium model dilakukan dengan menentukan nilai eigen dan matriks Jacobian dan diperoleh bahwa titik ekuilibrium bebas perceraian stabil asimtotik jika R0 = 0, 003111368984 < 1 dan titik ekuilibrium endemik tidak stabil asimtotik jika R0 = 1, 065035325 > 1. Simulasi numerik dilakukan dengan menggunakan perangkat lunak MAPLE.
DYNAMICS OF THE LESLIE-GOWER PREDATOR-PREY MODEL WITH THE BEDDINGTON-DEANGELIS RESPONSE FUNCTION, INCLUDING THE PRESENCE OF INFECTED PREY AND THE FEAR FACTOR OF SUSCEPTIBLE PREY TOWARD PREDATORS Miswanto, Miswanto; Windarto, Windarto; Eridani, Eridani
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.373-387.2024

Abstract

This article presents a stability analysis of the Leslie-Gower predator-prey model that is extended by taking into account prey infection, the presence of prey fear factors towards predators and the Beddington-DeAngelis response function. The Leslie-Gower model is a classic model that describes the dynamics of predator and prey populations, while the Beddington-DeAngelis response function accommodates the effects of population density and more complex interactions between predators and prey. The infected prey factor describes the prey's resistance to predator attacks becoming weak, while the prey fear factor towards predators affects prey growth.This study combines the components of infection in the prey population and the prey fear factor into the model to reflect the dynamics of disease and fear factors that can affect model stability. The model studied uses the Beddington-DeAngelis response function which describes the interaction between the prey population and the predator. This study uses two methods, namely analytical methods and numerical simulations. Analytical methods to study the stability analysis of the equilibrium point of the model by exploring the conditions under which the equilibrium point of the model is stable or unstable, focusing on the influence of infection parameters and the Beddington-DeAngelis response function on the stability of the equilibrium point. The results of the analysis show that prey infection and the shape of the response function can significantly affect the stability of the Leslie-Gower predator-prey model. The last section of this article presents numerical simulations that illustrate the stability of the equilibrium point of the model

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