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Summary: An Introduction to
Biological Difference Equations
Math 182 - Fall 2002
Daniel A. Ashlock
Department of Mathematics
Iowa State University
Ames, Iowa 50011
danwell@iastate.edu
Contents
1 Fibbonachi's Rabbits 1
Seeing the Pattern . . . . . . . . . . . 3
Finding an Explicit Solution . . . . . . 4
Problems . . . . . . . . . . . . . . . . 6
2 Simple First Order Difference Equa-
tions 8
Classification by Difference Form . . . 9
Behavior of Difference Equations . . . 12
Comparative Rates of Growth . . . . . 13
Problems . . . . . . . . . . . . . . . . 14
3 Higher Order Difference Equations 15
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