6. (Problem # 21, p. 261) We investigate the canonical discrete-time logistic growth mod Xt+1=rxt(1x₁) for t= 0, 1, 2,... Show that for r> 1, there are two fixed points. For which val- locally stable?
6. (Problem # 21, p. 261) We investigate the canonical discrete-time logistic growth mod Xt+1=rxt(1x₁) for t= 0, 1, 2,... Show that for r> 1, there are two fixed points. For which val- locally stable?
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:6. (Problem # 21, p. 261)
We investigate the canonical discrete-time logistic growth model
Xt+1=rxt(1-xt)
for t= 0, 1, 2,...
Show that for r> 1, there are two fixed points. For which values of r is the nonzero fixed point
locally stable?
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