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ITS » Undergraduate Theses » Matematika
Posted by anis at 16/06/2009 15:24:25  •  9327 Views


ANALISA KUALITATIF PADA MODEL BAZYKIN

QUALITATIVE ANALYSIS OF THE BAZYKIN MODEL

Author :
Jannah, Mita Hapsari 




ABSTRAK

Model Bazykin merupakan suatu model matematis dari interaksi dua spesies mangsa dan pemangsa yang pertama kali diperkenalkan oleh A. Bazykin dkk1. Model Bazykin berbentuk suatu sistem persamaan diferensial taklinear sehingga untuk mengetahui perilaku dinamik dari populasi mangsa-pemangsa yang sesuai dengan perubahan nilai parameternya cukup digunakan analisa kualitatif yang meliputi stabilitas dan bifurkasi dari titik-titik tetap. Analisa kualitatif dilakukan dengan mensyaratkan nilai tertentu pada dua dari empat parameter terlebih dahulu. Kemudian hasil dari analisa matematis diinterpretasi secara biologis agar lebih mendekati fenomena alam yang sesungguhnya.


ABSTRACT

A Bazykin model is a mathematical model for the interaction between predator and pray formerly proposed by A. Bazykin et al 1. A Bazykin model formed a nonlinear differential equation. However to get the dynamical population of predator and pray corresponding to the changes of its parameters it must be analyzed qualitatively such that the stability and the bifurcation of the fixed points could be known. For that reason it is analyzed in the case when two of the four parameters are kept fixed. Finally the result of the mathematical analysis is interpreted biologically to get closer to the natural phenomenon.



Keywordsmodel Bazykin ; sistem mangsa-pemangsa ; analisa kualitatif.
 
Subject:  Matematika biologi model
Contributor
  1. Drs. M. Setijo Winarko, M. Si.
Date Create: 16/06/2009
Type: Text
Format: pdf.
Language: Indonesian
Identifier: ITS-Undergraduate-3100008033676
Collection ID: 3100008033676
Call Number: RSMa 511.8 Jan a


Source
Undergraduate Theses, MATHEMATICS DEPARTMENT RSMa 511.8 Jan a, 2008

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