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From homogeneous eigenvalue problems to two-sex population dynamics

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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… Click to show full 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: homogeneous eigenvalue; eigenvalue problems; sex population; two sex

Journal Title: Journal of Mathematical Biology
Year Published: 2017

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