Mortal Fibonacci Rabbits

​
life span
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
fertility age
1
2
3
4
5
6
7
8
9
10
initial pairs
1
Consider an idealized biological system consisting of mortal rabbits with some fixed initial number of baby rabbit pairs. After the rabbits become mature each pair begets a new pair every month. Use the controls to explore how the rabbits' life span, age of fertility, and initial number of pairs affect the population growth.

Details

One generation after the first rabbits have occupied the ecosystem, the population satisfies
F
n
=
F
n-f
+…+
F
n-l+1
, where
f
is the age of fertility and
l
is the lifespan.
A. M. Oller, "The Dying Rabbit Problem Revisited," arXiv:0710.2216 in Cornell University Library's arXiv.org.
​

External Links

Fibonacci numbers (Wolfram MathWorld)

Permanent Citation

Oleksandr Pavlyk
​
​"Mortal Fibonacci Rabbits"​
​http://demonstrations.wolfram.com/MortalFibonacciRabbits/​
​Wolfram Demonstrations Project​
​Published: October 19, 2007