Asymptotic properties of infinite Leslie matrices |
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| Authors: | Gosselin Frédéric Lebreton Jean-Dominique |
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| Institution: | a Centre d’Ecologie Fonctionnelle et Evolutive, CNRS, C.E.F.E., 1919 Route de Mende, F-34293 Montpellier Cedex 5, France
b Cemagref, UR EFNO, Domaine des Barres, F-45290 Nogent-sur-Vernisson, France |
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| Abstract: | The stable population theory is classically applicable to populations in which there is a maximum age after which individuals die. Demetrius 1972. On an infinite population matrix. Math. Biosci. 13, 133-137] extended this theory to infinite Leslie matrices, in which the longevity of individuals is potentially infinite. However, Demetrius had to assume that the survival probability per time step tends to 0 with age. We generalise here the conditions of application of the stable population theory to infinite Leslie matrix models and apply these results to two examples, including or not senescence. |
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| Keywords: | Stable population theory Leslie matrix Usher matrix Senescence Infinite matrix |
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