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Updated: Jun 28, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Asymptotic properties of infinite Leslie matrices
Frédéric Gosselin1, Jean-Dominique Lebreton
1Centre d'Ecologie Fonctionnelle et Evolutive, CNRS, CEFE, Montpellier Cedex 5, France.
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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