Persistent age distributions for an age-structured two-sex population model

Hisashi Inaba

Mathematical Population Studies, 2000, vol. 7, issue 4, 365-398

Abstract: In this paper we formulate an age-structured two-sex population model which takes into account a monogamous marriage rule and the duration of marriage. We are mainly concerned with the existence of exponential solutions with a persistent age distribution. First we provide a semigroup method to deal with the time-evolution problem of our two-sex population model. Next, by constructing a fixed point mapping, we prove the existence of exponential solutions under homogeneity conditions.

Keywords: Two-Sex Population Dynamics; Marriage Model; Exponential Solutions; Persistent Age Distributions; Fixed Point Theorem; Semigroups (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (3)

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DOI: 10.1080/08898480009525467

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