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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Sains Dasar PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika AKSIOMA JURNAL ILMIAH MATEMATIKA DAN TERAPAN MUST: Journal of Mathematics Education, Science and Technology BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) MATAPPA: Jurnal Pengabdian Kepada Masyarakat Teorema: Teori dan Riset Matematika Journal of Education Technology Jambura Journal of Mathematics Jurnal Matematika UNAND Transformasi : Jurnal Pendidikan Matematika dan Matematika Jurnal Saintika Unpam : Jurnal Sains dan Matematika Unpam ESTIMASI: Journal of Statistics and Its Application Majalah Ilmiah Matematika dan Statistika (MIMS) Jambura Journal of Biomathematics (JJBM) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Science and Technology JES-MAT (Jurnal Edukasi dan Sains Matematika) MATHunesa: Jurnal Ilmiah Matematika METIKS: Jurnal Teknik Mesin, Elektro, Informatika, Kelautan & Sains Pattimura International Journal of Mathematics (PIJMath) Jurnal Sintak Jurnal Matematika Integratif Journal of Mathematics, Computation and Statistics (JMATHCOS) Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Agusyarif Rezka Nuha
Universitas Negeri Gorontalo
Automotive Engineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Transportation

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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

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Dynamical Analysis of a Predator-Prey Model Involving Intraspecific Competition in Predator and Prey Protection Resmawan, Resmawan; Nuha, Agusyarif Rezka; Nasib, Salmun K.; Nashar, La Ode
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.22154

Abstract

This article explains the interaction of the prey-predator model in the presence of wild harvesting and competition intra-specific predator populations and prey protection zones.  Model construction is based on literature studies related to the basic theory of the model and the biological properties between predator and prey populations. This study aims to look at the dynamic conditions of the predator-prey model in the form of the existence of prey and predator populations and the impact that occurs in the long term for both populations due to changes in parameter values. The model analysis begins with the formulation of the solution conditions and boundaries model, and next with the determination of the equilibrium point. Every equilibrium point is analyzed by the characteristic of its stability is neither local or global. The model owns three equilibrium points, namely the equilibrium point of population extinction (E_0), the equilibrium point of predator extinction (E_1), and the equilibrium point of persistence of the two populations (E_2). These equilibrium points are stable locally or globally if certain conditions are met. Next, it is shown that bifurcation proceeds Which describes the changing of characteristic stability point equilibrium Which depends on the threshold parameter values h_1, Ω^*, and ρ^*. In the end, numerical simulations are presented in the form of phase, time-series, and bifurcation diagrams to support the analytical results of the model, as well as to visually show the dynamic behaviour of the interaction between the two populations based on changes in predation levels, illegal harvesting, prey refuge zones, and intra-specific competition.
Co-Authors Abdul, Nur Safitri Agung, Andi Aliwu, Randa Resvitasari Andi Agung Anggraini, Fitriana Anissa Dwi Wijayanti Armayani Arsal Asriadi Asriadi Asriadi Asriadi Aswata Wisnuadji Bertu Rianto Takaendengan Biga, Azril Saputra Chasanah, Sri Istiyarti Uswatun Dewi Rahmawaty Isa Djibran, Fahrudin Djihad Wungguli Djuma, Clara Anggriani Eko Sulistyono Sulistyono Fajri Ikhsan Franky Alfrits Oroh Ghivahri Sidik Mokoagow Hasan S. Panigoro Hasan, Riyanto Hendri, Excel Muhammad Hinelo, Ikrar Prasetyo Ibrahim, Novita Ismail Djakaria Isran K Hasan Janna, Miftahul K. Nasib, Salmun Kai, Ferawati La Ode Nashar Lailany Yahya Laita, Nazrilla Hasan Lindrawati Abdjul Mahmud, Sri Lestari Melasarah Deswita Rahmadi Miftahul Huda Moh Dody Afandi Rauf Mohamad, Regina Muhammad Ikhlas Muhammad Rifai Katili Nadiyyah, Ana Nento, Abdul Djabar Nina Valentika NISKY IMANSYAH YAHYA Novianita Achmad NUR ’AIN SUPU Nursiya Bito NURWAN NURWAN Nurwan Nurwan Nurwan Nurwan Nurwan, Nurwan Pakaya, Revandi S. Rahman, Gusti Arviana Rahmi, Emli Rasmawati Rasmawati Rasyid, Kamelia Rauf, Moh Dody Afandi Resmawan Resmawan Rozikin, Muhammad Rusniwati S. Imran Salmun K. Nasib Saltina, Saltina Sari, Lia Nanda Sidik Susilo Sigar, Leidi Siti Nurmardia Abdussamad Sri Istiyarti Uswatun Chasanah Sri Istiyarti Uswatun Chasanah Sri Lestari Mahmud Sri Meylanti S. Ali Sugito Mahendra Imran Syafrudin, Marisa Syarif Abdullah Taulia Damayanti Usfita Kiftiyani Usman, Nunung Usman, Sri Adiningsi B. Valentika, Nina Wafa, Moh. Shohibul Widyastutifajri Nuha Yazid Rukmayadi Zaqiyah, Arfatuz