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Graph theoretical criteria for stability and boundedness of predator-prey systems

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Abstract

We introduce a graphical approach in the study of the qualitative behavior ofm species predator-prey systems. We prove that tree graphs imply global stability for Volterra models and local stability for general models; furthermore, we derive sufficient conditions so that loop graphs imply stability and boundedness of the solutions.

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Authors and Affiliations

  1. Istituto di Biomatematica, Università di Urbino, I-61029, Urbino, Italy

    F. Solimano & E. Beretta

Authors
  1. F. Solimano
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  2. E. Beretta
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Solimano, F., Beretta, E. Graph theoretical criteria for stability and boundedness of predator-prey systems. Bltn Mathcal Biology 44, 579–585 (1982). https://doi.org/10.1007/BF02459411

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  • DOI: https://doi.org/10.1007/BF02459411

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