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Rium Hilum
Jurusan Matematika dan Statistika, FMIPA, Universitas Papua
Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Environmental Science Languange, Linguistic, Communication & Media Mathematics Physics Public Health Social Sciences Other

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DAMPAK KEKERINGAN TERHADAP KESTABILAN SISTEM MANGSA PEMANGSA DENGAN FUNGSI RESPON HOLLING TIPE III DAN HASIL PEMANENAN KONSTAN PADA MANGSA La Ode Muhlis; Rium Hilum Rium Hilum; Mahmud Mahmud
Jurnal Natural Vol. 19 No. 2 (2023): Jurnal Natural
Publisher : FMIPA Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jn.v19i2.251

Abstract

ABSTRACT: The dynamic relationship between prey populations and predator populations can be represent in the mathematical model. This research was developed from the mathematical model of predator-prey which was first introduced by Lotka-Volterra, namely by increasing the realism of the model through apply the logistic model to the prey and involving Holling type-III response function. The effects of drought on both populations and constant harvesting of prey are also included in the mathematical model. After the mathematical model is formed, a nondimensional model is then carried out to create a shape from the model that was built previously. This study aims to analyze the impact of drought on the prey-prey system with a type III Holling functional response and constant-yield prey harvesting. There is at least one equilibrium point and there are at most three equilibrium points in the model. Numerical simulations are carried out on the model to see the phase portrait. The simulation results show that if the rate of drought is greater than the intrinsic growth rate of prey then both populations will go towards extinction. However, on the other hand, if the intrinsic growth rate of the prey is greater than the rate of drought, then the dynamics relationship between the predator and prey populations depends on the pattern of constant-yield prey harvesting. Thus, a stable dynamic relationship occurs on the constant-yield prey harvesting at the interval 0<h<=K(r-a1)2
Co-Authors Astifan E Matnai Chrisaria Palungan Dahlia Gladiola Rurina Menufandu Dahlia Ramlan Esther Ria Matulessy Esther Ria Matulessy Esther Ria Matulessy Esther Ria Matulessy Harina O.L Monim Inayatul Farach Ardianty Junianto Sesa Khasnah Aris Friantika Kukuh Silvia Dwi Anggraeni La Ode Muhlis Loria Amisah Lubis Loria Amisah Lubis Lubis, Loria Amisah Mahmud Mahmud Maria D. L. Rumlus Matulessy, Esther Ria Nurhaida Nurhaida, . Nurin Hidayah Sabir Sumarna Sesa, Junianto Tri Widjajanti Tri Widjajanti Tri Widjajanti Tri Widjajanti Tri Widjajanti Widjajanti Trigarcia Maleachi Randa Zulkarnain Zulkarnain