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Square-root models for the Volterra equations and the explicit solution of these models

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Abstract

Volterra's (1926) equations for competition and predator-prey interactions are modified by introduction of root terms. A critical comparison with the original equations shows that the dynamic properties of the systems remain essentially alike, while the modification allows for explicit solution of the differential equations. Detailed solutions and numerical examples are given.

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Authors and Affiliations

  1. Via Sotto Bisio 6, CH-6828, Balerna, Ticino

    M. Arrigoni

  2. Mathematisches Institut der Universität Zürich, Zürich, Switzerland

    A. Steiner

Authors
  1. M. Arrigoni
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  2. A. Steiner
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Arrigoni, M., Steiner, A. Square-root models for the Volterra equations and the explicit solution of these models. Acta Biotheor 32, 123–142 (1983). https://doi.org/10.1007/BF02045064

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  • DOI: https://doi.org/10.1007/BF02045064

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