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The struggle for life: III. A predator-prey chain

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Abstract

Ann species predator-prey chain is analyzed to determine what oscillations occur in population sizes. It is found that only the populations of the first and second species in the chain must necessarily oscillate around the point of equilibrium if they do not come to equilibrium. The other species may or may not oscillate.

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Literature

  • Berge, Claude. 1962.The Theory of Graphs and Its Applications. New York, John Wiley and Sons.

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  • Kolmogoroff, A. 1936. “Sulla teoria di Volterra della lotta per l’esistenza.”Giornale dell’Istituto Italiano degli Attuari,7, 74–80.

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Authors and Affiliations

  1. Department of Physiology, University of Minnesota, Minneapolis, Minnesota

    Aldo Rescigno

  2. Department of Zoology, University of Minnesota, Minneapolis, Minnesota

    Karen Gay Jones

Authors
  1. Aldo Rescigno
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  2. Karen Gay Jones
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Rescigno, A., Jones, K.G. The struggle for life: III. A predator-prey chain. Bulletin of Mathematical Biophysics 34, 521–532 (1972). https://doi.org/10.1007/BF02476712

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  • DOI: https://doi.org/10.1007/BF02476712

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