5th North American International Conference on Industrial Engineering and Operations Management

Three-phase Growth Model in Fibonacci Rabbits

Agung Prabowo, Sukono Sukono & Abdul Talib Bon
Publisher: IEOM Society International
0 Paper Citations
2 Views
1 Downloads
Abstract

Fibonacci numbers or Fibonacci sequences are numbers or sequences that are very popular in mathematics. In the perspective of Mathematical Demographics, Fibonacci numbers represent the number of populations of rabbit pairs at any time. We consider this population as a hypothetical population with unlimited growth. We observe the population structure based on the phases (stages) of rabbit growth. We begin the discussion by reviewing the Fibonacci number rows in relation to the perspective of the dynamics of population systems. We analysed the hypothetical population system as a population system consisting of three age groups. Next, we build mathematical equations to produce Fibonacci numbers. The equation is built as a matrix equation, involving the growth matrix. We compiled and proved several theorems. The results of the research related to the growth matrix and its relation to the demographic bonus we describe at the end of the discussion.

Published in: 5th North American International Conference on Industrial Engineering and Operations Management, Detroit, USA

Publisher: IEOM Society International
Date of Conference: August 9-11, 2020

ISBN: 978-0-9855497-8-7
ISSN/E-ISSN: 2169-8767