Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 1 - First-Order Differential Equations - 1.5 Some Simple Population Models - True-False Review - Page 51: h

Answer

True

Work Step by Step

The logistic equation is given by $$\frac{dP}{dt}=r(1-\frac{P}{C}P)$$ where $r=B_0\\C=B_0/D_0$ When $P'=\frac{dP}{dt}=0$, there are two equilibrium solutions $P=C$ and $P=0$. Hence, the statement is true.
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