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A two-sex age-structured population model: Well posedness

Author

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  • Maia Martcheva
  • Fabio Milner

Abstract

In this paper we consider a two-sex population model proposed by Hoppenstead. We do not assume any special form of the mating function. We address the problem of existence and uniqueness of continuous and classical solutions. We give sufficient conditions for continuous solutions to exist globally and we show that they have in fact a directional derivative in the direction of the characteristic lines and satisfy the equations of the model with the directional derivative replacing the partial derivatives. The existence of classical solutions is established with mild assumptions on the vital rates.

Suggested Citation

  • Maia Martcheva & Fabio Milner, 1999. "A two-sex age-structured population model: Well posedness," Mathematical Population Studies, Taylor & Francis Journals, vol. 7(2), pages 111-129.
    • Handle: RePEc:taf:mpopst:v:7:y:1999:i:2:p:111-129
    DOI: 10.1080/08898489909525450
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    Cited by:

    1. Fabio Augusto Milner & Kai Yang, 2016. "The logistic, age-structured, two-sex population model applied to U.S. demography," Mathematical Population Studies, Taylor & Francis Journals, vol. 23(1), pages 50-67, January.

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