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. 2017 Oct;75(4):783-804.
doi: 10.1007/s00285-017-1114-9. Epub 2017 Mar 8.

From homogeneous eigenvalue problems to two-sex population dynamics

Horst R Thieme  1
Affiliations

From homogeneous eigenvalue problems to two-sex population dynamics

Horst R Thieme. J Math Biol. 2017 Oct.

Abstract

Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced by Karl-Peter Hadeler in the late 1980s. They are applied to a basic discrete-time two-sex population model and to the relation between the basic turnover number and the basic reproduction number.

Keywords: Enclosure theorems; Homogeneous order-preserving operators; Ordered normed vector spaces; Pair formation; Spectral radius.

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