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Help Needed with Gompertz model.

by rroy81
Tags: gompertz, model
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rroy81
#1
Nov7-12, 09:00 PM
P: 13
I need help in solving the following solution.
The Gompertz model has been used to model population growth.
dy/dt = -ryln(y/k), where r = 0.67 per year, K = 36500 kg,

Use the Gompertz model to find the predicted value of y(4) .

TIA.
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Mute
#2
Nov7-12, 09:52 PM
HW Helper
P: 1,391
What have you tried so far?
rroy81
#3
Nov7-12, 09:58 PM
P: 13
Quote Quote by Mute View Post
What have you tried so far?
That's just it....I am not to sure how to tackle the problem. I know the answer is 31374 kg.

How do I get is what I need help with.

Thanks!

Mute
#4
Nov7-12, 10:00 PM
HW Helper
P: 1,391
Help Needed with Gompertz model.

Have you tried solving the differential equation? Do you have any ideas about how you might try to solve it? I'll give you a hint: t does not appear explicitly, and it is a first-order, homogeneous (but nonlinear) equation for y(t). Does this give you any ideas?


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