Matematika: Jurnal Teori dan Terapan
Vol 16, No 1 (2017): Jurnal Matematika

Model Pertumbuhan Populasi Satu Spesies Dengan Tundaan Waktu Diskrit

Onoy Rohaeni (Program Studi Matematika FMIPA INISBA)



Article Info

Publish Date
23 May 2017

Abstract

Abstrak. Model pertumbuhan populasi adalah model Matematika yang menggambarkan pertumbuhan populasi. Salah satu model pertumbuhan populasi adalah model pertumbuhan logistik. Dengan menggunakan asumsi kaidah logistik bahwa pada masa tertentu jumlah populasi akan mendekati titik kesetimbangan (equilibrium). Untuk menganalisis masing-masing titik kesetimbangan, dilakukan proses linearisasi. Proses linearisasi dilakukan dipersekitaran titik kesetimbangan dengan menggunakan prosedur perturbasi. Pada proses perturbasi ini, parameter perturbasi yang digunakan sangat kecil, yaitu antara nol dan 1, sehingga akan mengakibatkan sangat dekat dengan titik kesetimbangan. Pada titik kesetimbangan ini jumlah kelahiran dan kematian dianggap sama, sehingga grafiknya akan mendekati konstan (zero growth).Kata kunci: model pertumbuhan populasi, titik kesetimbangan, waktu diskrit.Abstract. (One Species Population Growth Model with Discrete Time Delays) The population growth model is a Mathematical model that describes population growth. One population growth model is a logistical growth model. By using the assumption of logistical rules that at certain times the population will approach equilibrium. To analyze each equilibrium point, a linearization process is carried out. The linearization process is carried out around the equilibrium point using the perturbation procedure. In this perturbation process, the perturbation parameter used is very small, which is between zero and 1, so that it will result very close to the equilibrium point. At this equilibrium point the number of births and deaths is considered the same, so the graph will be close to constant (zero growth).Keywords: population growth model, equilibrium point, discrete time.

Copyrights © 2017






Journal Info

Abbrev

matematika

Publisher

Subject

Education Mathematics

Description

JOURNAL MATHEMATICS, Journal of Theory and Applied Mathematics is a periodical journal published by the Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Islamic University of Bandung. The Journal of Mathematics is published at least 2 times a year, on June and November. The ...