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

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  • Maia Martcheva
  • Fabio Milner
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    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.

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    File URL: http://www.tandfonline.com/doi/abs/10.1080/08898489909525450
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Mathematical Population Studies.

    Volume (Year): 7 (1999)
    Issue (Month): 2 ()
    Pages: 111-129

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    Handle: RePEc:taf:mpopst:v:7:y:1999:i:2:p:111-129

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    Related research

    Keywords: Two-sex population model; classical solutions; continuous solutions; directional derivative; sexually transmitted diseases;

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