Ainiyah, Kurratu (2018) Model Predator-Prey Dengan Fungsi Respon Dan Rekrutmen Umum. Sarjana thesis, Universitas Brawijaya.
Abstract
Pada skripsi ini dibahas model predator-prey dengan fungsi respon dan rekrutmen yang berbentuk umum serta terdapat pemanenan pada kedua spesies. Analisis dinamik dilakukan untuk menentukan titik kesetimbangan, syarat eksistensi, sifat kestabilan lokal, kestabilan global titik kepunahan kedua spesies, dan bifurkasi. Pada model ini terdapat empat titik kesetimbangan, yaitu titik kepunahan kedua populasi, titik kepunahan predator, titik kepunahan prey, dan titik kesetimbangan interior. Keempat titik tersebut bersifat eksis dan stabil dengan syarat masing-masing. Selanjutnya, dilakukan beberapa simulasi numerik untuk mendukung hasil analisis.
English Abstract
This final project discusses a mathematical model for a predator-prey system with general functional response and recruitment including harvesting of both species. Dynamical analysis is performed to determine the existence, local stability properties of equilibrium points, global stability extinction of both species point, and bifurcation. There are four equilibrium points, namely the extinction of both species, the extinction of predator point, the extinction of prey point, and interior point. These points are conditionally asymptotically stable. To confirm our analytical results, we perform some numerical simulations.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/FMIPA/2018/2/051800515 |
| Uncontrolled Keywords: | model predator-prey, titik kesetimbangan, kestabilan, fungsi Lyapunov, predator-prey model, equilibrium point, stability, Lyapunov function |
| Subjects: | 500 Natural sciences and mathematics > 511 General principles of mathematics > 511.8 Mathematical models (Mathematical simulation) |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Nur Cholis |
| Date Deposited: | 07 Feb 2018 03:25 |
| Last Modified: | 11 Feb 2022 07:51 |
| URI: | http://repository.ub.ac.id/id/eprint/8768 |
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