Asymptotic properties of infinite Leslie matrices

JOURNAL OF THEORETICAL BIOLOGY

卷:256

Article

Gosselin, Frederic^1,2  Lebreton, Jean-Dominique¹ 

[1] CEFE, CNRS, Ctr Ecol Fonct & Evolut, F-34293 Montpellier 5, France

[2] Irstea, UR EFNO, F-45290 Nogent Sur Vernisson, France

关键词: Stable population theory;    Leslie matrix;    Usher matrix;    Senescence;    Infinite matrix;   

DOI  :  10.1016/j.jtbi.2008.09.018

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free