Penyelesaian dan kestabilan model logistik pada pemanenan ikan

Anggraini, Silvia (2014) Penyelesaian dan kestabilan model logistik pada pemanenan ikan. Undergraduate thesis, Universitas Islam Negeri Maulana Malik Ibrahim.

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Abstract

INDONESIA:

Model pemanenan ikan di perairan umum mengikuti model logistik. Penelitian ini membahas penyelesaian model logistik pada laju pemanenan ikan. Penyelesaian model ini didapatkan solusi analitik dari model tersebut dan dengan menggunakan analisis kestabilan di dapatkan f^' N(t)>0 dimana model tersebut adalah tidak stabil. Selain itu, didapatkan hasil pemanenan secara maksimal.

Simulasi model pemanenan ikan dengan menggunakan fungsi periodik laju proporsional pemanenan ikan yang berbeda sehingga diperoleh jumlah populasi ikan yang berbeda-beda. Jumlah populasi ikan mengalami kenaikan secara drastis sebesar 15,36 satuan perproporsi pemanenan ikan pada saat 2,88 satuan waktu dan jumlah populasi ikan mengalami penurunan secara drastis sebesar -268 satuan perproporsi pemanenan ikan pada saat 3,34 satuan waktu disebabkan adanya pengaruh fungsi periodik laju proporsional pemanenan ikan.

ENGLISH:

Harvesting fish model in general waters following the logistic model. This research discusses the logistic model of harvesting fish. The solution of the model is obtained from the analytical solution of the model and by using the stability analysis we optain f^' N(t)>0 where the model is not stabil.

Morever, the results obtained is the maximum harvesting. For fisheries harvesting model simulations using periodic function proportional rate of different fish harvesting we obtained that the amount of fish populations varies. Where the number of fish populations have increased drastically by 15.36 units per proporsion harvesting fisheries during a time of 2.88 units and the number of fish populations drastically decreased by - 268 units per proporsion harvesting of fisheries at the time of 3.34 units of time due to the influence of a periodic function proportional rate of harvesting fisheries.

Item Type: Thesis (Undergraduate)
Supervisor: Pagalay, Usman and Aziz, Abdul
Keywords: Pemanena; Model Logistik; Stabil; Harvesting; Logistic Models; The Stability
Departement: Fakultas Sains dan Teknologi > Jurusan Matematika
Depositing User: Ida Lestari
Date Deposited: 31 May 2017 05:41
Last Modified: 31 May 2017 05:41
URI: http://etheses.uin-malang.ac.id/id/eprint/6871

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