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All Journal Sainstek CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of Natural Sciences and Mathematics Research Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) Jurnal Matematika: MANTIK Dinamisia: Jurnal Pengabdian Kepada Masyarakat Limits: Journal of Mathematics and Its Applications Teorema: Teori dan Riset Matematika Jambura Journal of Mathematics Jurnal Matematika UNAND Transformasi : Jurnal Pendidikan Matematika dan Matematika Vygotsky: Jurnal Pendidikan Matematika dan Matematika Jurnal Bakti Masyarakat Indonesia Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi JES-MAT (Jurnal Edukasi dan Sains Matematika) Unnes Journal of Mathematics Innovative: Journal Of Social Science Research Jurnal Matematika Integratif
Nurwan Nurwan
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Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Journal : Limits: Journal of Mathematics and Its Applications

 1 
Bifurkasi Periode Ganda dan Neimark-Sacker pada Model Diskret Leslie-Gower dengan Fungsi Respon Ratio-Dependent Reza Mokodompit; Nurwan Nurwan; Emli Rahmi
Limits: Journal of Mathematics and Its Applications Vol 17, No 1 (2020)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v17i1.6809

Abstract

Dinamika model Leslie-Gower dengan fungsi respon ratio-dependent yang didiskretisasi menggunakan skema Euler maju adalah fokus utama pada artikel ini. Analisis diawali dengan mengidentifikasi eksistensi dari titik ekuilibrium dan kestabilan lokalnya. Diperoleh empat titik ekuilibrium yaitu titik kepunahan kedua populasi dan titik kepunahan predator yang selalu tidak stabil, dan titik kepunahan prey dan eksistensi kedua populasi yang stabil kondisional. Selanjutnya dipelajari eksistensi dari bifurkasi periode ganda dan Neimark-Sacker di sekitar titik eksistensi kedua populasi sebagai akibat perubahan parameter h (time-step). Dari hasil analisis ditemukan bahwa bifurkasi periode ganda terjadi setelah melewati h=h_a atau h=h_c dan bifurkasi Neimark-Sacker terjadi setelah melewati h=hb. Di akhir pembahasan, diberikan simulasi numerik yang mendukung hasil analisis sebelumnya.
Sifat Fundamental Pada Granum Eulerian Suaib A Siraj; Asriadi Asriadi; Djihad Wungguli; Hasan S. Panigoro; Nurwan Nurwan; Nisky Imansyah Yahya
Limits: Journal of Mathematics and Its Applications Vol 21, No 2 (2024)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v21i2.20164

Abstract

Mathematical analysis has several important connections with graph theory. Although initially, they may seem like two separate branches of mathematics, there are relationship between them in several aspects, such as graphs as mathematical objects that can be analyzed using concepts from analytic mathematics. In graph theory, one often studies distance, connectivity, and paths within a graph. These can be further analyzed using analytic mathematics, such as in the structure of natural numbers. Literature studies on graph theory, especially Eulerian graphs, are interesting to explore. An Eulerian path in a graph G is a path that includes every edge of graph G exactly once. An Eulerian path is called closed if it starts and ends at the same vertex. The concept of granum theory as a generalization of undirected graphs on number structures provides a rigorous approach to graph theory and demonstrates some fundamental properties of undirected graph generalization. The focus of this study is to introduce the connectivity properties of Eulerian granum. The granum G(e,M) is called connected if for every u,v ∈ M with u ≠ v there exists a path subgranumG^' (e,M^' )⊆ G(e,M)  where u,v ∈ M^' and is called an Eulerian granum if there exists a surjective mapping ϕ∶ [∥E(G(e,M))∥ + 1]→ M such that e(ϕ(n),ϕ(n+1))=1 for every n ∈ [‖E(G(e,M))‖]. This property provides a deeper understanding of the structure and characteristics of Eulerian granum, which have not been fully comprehended until now.
Co-Authors Abdul Djabar Mohidin Agusyarif Rezka Nuha Anisa Fitra Dila Hubu Any Muanalifah Arya Aurellio Yusuf Asriadi Ayus Riana Isnawati Aznaim Aznaim Dewi Rahmawaty Isa Djihad Wungguli Frendy Dermawan Silalahi Ghivahri Sidik Mokoagow Hasan S. Panigoro I Wayan Can Aryasandi Isran K Hasan Jufrin Jufrin Karina Anselia Mamonto Kurniasari Abram La Ode Nashar Lailany Yahya Lindrawati Abdjul Mahmud, Sri Lestari Majid Majid Moh Dody Afandi Rauf Muhammad Rezky F. Payu NISKY IMANSYAH YAHYA Novianita Achmad Nur Falaq Nursiya Bito Perry Zakaria Pranata, Widya Eka Rafika Pomalingo Rahmi, Emli Resmawan Resmawan Reza Mokodompit Rosalio Artes Jr. SALAMAH, ANI Salmun K. Nasib Siti Zakiah Siti Zakiyah Sitty Oriza Sativa Putri Ahaya Suaib A Siraj Sumarno Ismail Sutriany Nteseo Taha, Dennynatalis Taki, Febriani Verawati Tarsan Kadir