Abstract
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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Recommended Citation
F. Alves, Jo?o and M. Oliveira, Henrique
(2015)
"Similarity of General Population Matrices and Pseudo-Leslie Matrices,"
Applied Mathematics & Information Sciences: Vol. 09
:
Iss.
5
, Article 4.
Available at:
https://dc.naturalspublishing.com/amis/vol09/iss5/4