a. Show that the population P in the logistic equation reaches half the maximum population M at

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a. Show that the population P in the logistic equation reaches half the maximum population M at time t^∗ given by:

b. Derive the form given by Equation (11.12) for population growth according to the logistic law.

Equation 11.12

c. Derive the equation ln[P/(M–P)] = r M t–r M t^∗from Equation (11.12).

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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Question Posted: Jan 12, 2024 05:00 AM

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a. Show that the population P in the logistic equation reaches half the maximum population M at

Question:

t* = to-(1/rM) In[Po/(M - Po)]

Step by Step Answer:

a b c The expression for population at time t is as follows MP Pt PoMP rMtto e where to Po are th...View the full answer

A First Course In Mathematical Modeling

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