Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A Special Case of a Two-Sex Model in the Growth of Population

  • Tae Ryung Park (Department of Applied Mathematics, Seo Kyeong University, Seoul, 137-704, Korea)
  • Published : 1997.04.01
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Abstract

We consider two models for the growth of population with overlaping generations. First, the model we will describe is basically the model given by Leslie(1945). This is only a one-sex model of population age structure and growth. Next, we introduce a model in which couples must be formed before reproduction occurs. If the maximum number of couples is formed, and if the couples are only formed from fermales of age x-a and males of age x at time t, $\alpha$ > 0. Then, we will solve the renewal equations for the reproductive value.

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