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


  • Hisashi Inaba


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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    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. repec:eee:thpobi:v:88:y:2013:i:c:p:86-93 is not listed on IDEAS
    3. repec:eee:thpobi:v:88:y:2013:i:c:p:78-85 is not listed on IDEAS


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