Eigenvalue Analysis

The eigenvalues of the transition matrix provide a more precise means of analyzing the problem. Let's be sure we have the original transition matrix:

> owldat();

The eigenvalues of this matrix are found to be:

> eigenvalues( A );

To determine the long time behavior of this population it suffices to look at the magnitude of each of the eigenvalues:

> map( abs, [eigenvalues(A)] );

Since all three eigenvalues are less than 1 in absolute value, all populations will eventually decay to zero.

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Graphical Estimation of the ``Critical Value'' of the Juvenile Survival Rate

Symbolic Analysis of Dominant Eigenvalue