Abstract
The requirements Parlett introduces for stability of non-negative matrices, irreducibility and primitivity, have an intuitive base. Irreducibility translates as the restriction that the projection matrix be for a single population, as in the continuous form of the renewal equation. (Matrix techniques for extracting stable roots and vectors do not apply to non-interacting populations; nor in general would such populations have the same roots.)
From Theoretical Population Biology 1. Excerpts are from pages 191–202.
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© 1977 Springer-Verlag Berlin · Heidelberg
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Parlett, B. (1977). Ergodic Properties of Population I: The One Sex Model. In: Mathematical Demography. Biomathematics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81046-6_29
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DOI: https://doi.org/10.1007/978-3-642-81046-6_29
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