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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.

Homework 5 (pdf)

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 m = 0.9 and determine the stable age structure.

7 Comments Post a comment
  1. David Garcia #

    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?

    March 13, 2014
  2. Bryan #

    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?

    March 18, 2014
  3. jd #

    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.

    March 18, 2014
  4. jd #

    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.

    March 18, 2014
  5. Vitor #

    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

    March 18, 2014
  6. AE #

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

    March 26, 2014
    • Scott Alister McKinley #

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

      March 26, 2014

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