# 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)

UPDATE (3/17, 3:30 pm): For 1(b) you may set $m = 0.9$ and determine the stable age structure.

## 7 thoughts on “MathBio: Homework 5, due Wed March 19”

1. David Garcia says:

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?

2. Bryan says:

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?

3. jd says:

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.

4. jd says:

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.

5. Vitor says:

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

6. AE says:

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

1. Scott Alister McKinley says:

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