Tsuroyya, Dyna (2015) Analisis dan simulasi model pada sistem satu fitoplankton dua zooplankton yang dipengaruhi oleh racun. Undergraduate thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Plankton adalah organisme mikroskopis laut yang terdiri
dari tumbuhan (Phytoplankton), hewan (Zooplankton) dan
bakteri (Bacterioplankton) yang sangat halus, bergerak bebas di
dalam air, dan merupakan makanan utama ikan yang masingmasing
bertindak sebagai produsen, konsumen, dan pengurai.
Dalam penelitian ini, penulis menganalisa model dari pengaruh
racun pada sistem dinamik yang diberikan yaitu Fungsi Respon
Holling Type II pada Predator-Prey System, dengan dua
zooplankton sebagai predator dan satu fitoplankton sebagai prey,
dimana titik setimbang dan kestabilan pada sistem diperoleh.
Dengan menggunakan Fungsi Lyapunov didapatkan stabil
asimtotis global pada sistem. Terdapat empat titik setimbang
yang masing-masing titik stabil asimtotis global. Berdasarkan
hasil simulasi menunjukkan bahwa pengaruh racun pada sistem
berpengaruh juga pada pemanenan. Jika terdapat pemanenan dan
koefisien racun pada predator (zooplankton I dan II) tidak
melebihi koefisien racun pada prey (fitoplankton), maka
pertumbuhan populasi stabil (terjaga kelestariannya).
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Plankton is an ocean microscopic organism that
divided in plant (phytoplankton), animal (zooplankton), and
bacteria (bacterioplankton) which small organism, can swim
slowly with haphazard movements in the water column and
they provide the primary food source for fish which act as
producers, consumers, and recyclers respectively. In this
project, the writer proposed to analyze the model of Dynamic
Systems in Predator-Prey System that One Phytoplankton as
prey and Two Zooplankton as predator in the Presence of
Toxicity with Holling Type II functional response where the
equilibrium points and its stability can obtain. The system is
globally asymptotic stability had proven by Lyapunov
Function. There are four equilibrium points and their stability
are globally asymptotic respectively. Based on the simulation
show that in the presence of toxicity on the system depends on
harvesting. If harvesting exist and the coefficient of toxin of
prey (phytoplankton) is no more than the coefficient of toxin
of predator (zooplankton I and II), so the growth of these
population is stable (survive).
| Item Type: | Thesis (Undergraduate) |
|---|---|
| Additional Information: | RSMa 511.8 Tsu a |
| Uncontrolled Keywords: | Plankton, Racun, Sitem Dinamik, Titik Kesetimbangan, Kestabilan Lyapunov |
| Subjects: | T Technology > T Technology (General) > T57.62 Simulation |
| Divisions: | Faculty of Mathematics and Science > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | - Taufiq Rahmanu |
| Date Deposited: | 19 Nov 2019 07:39 |
| Last Modified: | 19 Nov 2019 07:39 |
| URI: | http://repository.its.ac.id/id/eprint/71876 |
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