Exercise5

Suppose we have the female population of a species is divided into juveniles, yearlings, and adults and that each year

  1. Set up a system of the form \(\xvec_{k+1}=A\xvec_k\) that describes this situation.

  2. Find the eigenvalues of the matrix \(A\text{.}\)

  3. What prediction can you make about these populations after a very long time?

  4. If the birth rate goes up to 80%, what prediction can you make about these populations after a very long time? For every 100 adults, how many juveniles, and yearlings are there?

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