title: From homogeneous eigenvalue problems to two-sex population dynamics.
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.
authors.affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, 85287-1804, USA. hthieme@asu.edu.
authors.forename: Horst R
authors.initials: HR
authors.lastname: Thieme
mesh_terms: D000818:Animals; D005260:Female; D006801:Humans; D016014:Linear Models; D008297:Male; D055641:Mathematical Concepts; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011157:Population Dynamics / Q000706:statistics & numerical data*; D012098:Reproduction
keywords: Enclosure theorems; Homogeneous order-preserving operators; Ordered normed vector spaces; Pair formation; Spectral radius