Items tagged with population

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How do we write code for optimal problem using Pontryagin's maximum principle for simulation.

Hi,

I am working on making a population balance model for gas bubbles is a stirred reactor. I have data in excel about the bubble size and need to make a population model to compare the experiment with theoretical findings.

But I have not much experience in population balance modeling. Is there anyone who has an example of a solved population balance model in maple? This would help me greatly in understanding the subject. I would want to use the Luo and Svendsen model as I found it most matching with the result.

Kind regards, Hasselhof

Hi, I need help with graphing a certain logistics population model for an initial population size that is equal to 1.

dy/dt = k(1 - y/M)y  k=2 M(t)=10e^-t/5 +3(1-e^-t/5)

So far I've worked out the values to input, but I don't know how to write it in Maple.

I know all I have to replace is the M in the dy/dt equation with these 2 values.

M(0) = 10

M(t goes to infinity) = 3

 

restart;

I am trying to plot a Linear Population Model using Maple, could anybody tell me what I am doing wrong. My plot is just registering as a straight line at 1.0 and I know this is incorrect.

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Hello everyone,

I have a problem with the Brownian Motion (I'm using Maple 15).

Here is the code:

X:=BrownianMotion(0,0,1,t);

X1:=SamplePath(X(t),t=0..T,timesteps =T/d):

Mean(X1);

 

The last line give me a number different from zero, which is not true for a Brownian Motion as defined.

Could you please tell me where is the problem?

 

PS: I have the same problem with WienerProcess(sigma).

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