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.