# MathBio: Homework 5, due Wed March 19

For the following assignment, you may work in groups but the homework you turn in should be your own.

If you have questions or comments, please use the comments section of this page.

UPDATE (3/17, 3:30 pm): For 1(b) you may set and determine the stable age structure.

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Hmm…I’m not getting anything near 0.9 for m in exercise 3a, I’m getting a range around -0.1 for m. I’m guessing that’s super wrong?

For number 2, we tried finding the eigenvalues using Wolfram-Alpha but the solution was incoherent. We can’t use the auxiliary equation since it is a 3-D system; is there a better way to determine stability in terms of h?

David, I also got an inequality with m near -0.1 which would make the question trivial. Perhaps we are correct and the question is somewhat faulty based on the assumed parameters.

David, I also got a value of m near -0.1. Perhaps we are correct and the question is faulty based on the assumed parameters.

I did it through wolfram, I just kept plugging in numbers between 0 and 1 until I found one that made the one of the eigenvalues hover just over 1

For 3.3 #4 is the -dy a derivative of y or constant “d”?

The d is a constant in that problem. I agree, that’s a bad choice of letter!