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Similarity of General Population Matrices and Pseudo-Leslie Matrices |
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PP: 2239-2244 |
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Author(s) |
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Joćo F. Alves,
Henrique M. Oliveira,
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Abstract |
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| A similarity transformation is obtained between general population matrices models of the Usher or Lefkovitch types and
a simpler model, the pseudo-Leslie model. The pseudo Leslie model is a matrix that can be decomposed in a row matrix, which is
not necessarily non-negative and a subdiagonal positive matrix. This technique has computational advantages, since the solutions of
the iterative problem using Leslie matrices are readily obtained . In the case of two age structured population models, one Lefkovitch
and another Leslie, the Kolmogorov-Sinai entropies are different, despite the same growth ratio of both models. We prove that Markov
matrices associated to similar population matrices are similar. |
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