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Progeny
Book Description:
In
1202 Fibonacci posed and solved a problem on the population
of rabbits, which gave rise to the famous Fibonacci sequence.
There are many population models, such as, population of
plants, population of blood cells etc. Fibonacci sequence
in turn gives rise to 'golden ratio'. In this 10-page self-contained
Microworld, we consider the following:
- Propagation
of Plants
- Fibonacci's
Rabbit Problem
- Golden
Ratio
- Golden
Rectangle
A
paper-folding activity is given to construct a golden rectangle.
The modeling procedures involve linear systems of difference
equations, higher order difference equations, and eigen
values. This book can be used for modeling in biology, and
also exploring Fibonacci sequence. The users are advised
to explore carefully the methods and then attempt to solve
the problem of movement of population that also depends
upon linear system of difference equations.
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