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Local existence for a general model of size-dependent population dynamics

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  • Nobuyuki Kato
  • Hiroyuki Torikata

Abstract

We shall investigate a size structured population dynamics with aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time. We show the existence of a local solution and continuous dependence on the initial data, which shows the uniqueness of the solution as well.

Suggested Citation

  • Nobuyuki Kato & Hiroyuki Torikata, 1997. "Local existence for a general model of size-dependent population dynamics," Abstract and Applied Analysis, Hindawi, vol. 2, pages 1-20, January.
    • Handle: RePEc:hin:jnlaaa:474628
    DOI: 10.1155/S1085337597000353
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    Cited by:

    1. B. Ainseba & L. Louison & A. Omrane, 2022. "A Population Harvesting Model with Time and Size Competition Dependence Function," Journal of Optimization Theory and Applications, Springer, vol. 195(2), pages 647-665, November.

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