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

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  • Hisashi Inaba

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.

Suggested Citation

  • Hisashi Inaba, 2000. "Persistent age distributions for an age-structured two-sex population model," Mathematical Population Studies, Taylor & Francis Journals, vol. 7(4), pages 365-398.
    • Handle: RePEc:taf:mpopst:v:7:y:2000:i:4:p:365-398
    DOI: 10.1080/08898480009525467
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    Citations

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    Cited by:

    1. Christophe Guilmoto, 2012. "Skewed Sex Ratios at Birth and Future Marriage Squeeze in China and India, 2005–2100," Demography, Springer;Population Association of America (PAA), vol. 49(1), pages 77-100, February.
    2. Matthews, A.P. & Garenne, M.L., 2013. "A dynamic model of the marriage market—Part 2: Simulation of marital states and application to empirical data," Theoretical Population Biology, Elsevier, vol. 88(C), pages 86-93.
    3. Matthews, A.P. & Garenne, M.L., 2013. "A dynamic model of the marriage market—Part 1: Matching algorithm based on age preference and availability," Theoretical Population Biology, Elsevier, vol. 88(C), pages 78-85.

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