The Logistic Map is a model
for the growth of a single-species population having non-overlapping generations
(for instance children are born in the spring and by next spring are mature and
productive - some insect populations are examples), and living in an environment
having limited resources. Limited resources enters the model as a competition
term: individuals must compete for available food. |
How do we build this model? Let Pn stand for the
population in generation n: |
P0 is the initial population, the size
of the population when we start observng it. |
P1 is the population in the first generation
after we start observing. |
P2 is the population in the second generation
after we start observing. |
and so on. |
|
We would like to find a relation between Pn and
Pn+1. If we find this relation, then knowing the population in any
generation we can determine the population in all successive generations. What do
we know? |
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