3. Consider the Ricker equation: Nn+1 = aN,e-BN, In this equation, a represents the maximal growth rate of the organism and ß is the inhibition of growth caused by overpopulation.
3. Consider the Ricker equation: Nn+1 = aN,e-BN, In this equation, a represents the maximal growth rate of the organism and ß is the inhibition of growth caused by overpopulation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Consider the Ricker equation:
Nn+1 = aN,e¬BN,.
In this equation, a represents the maximal growth rate of the organism and ß is the inhibition of
growth caused by overpopulation.
(a) Show that this equation has a steady state
In a
Ñ =
(b) Show that the steady state in the first part is stable provided that
|1 – In a| < 1.
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