Stability properties of a class of differential equations modeling predator-prey relationships

A system of differential equations is proposed as a model of a class of three species predator-prey relationships. The qualitative behavior of solutions is studied, and it is shown that the qualitative behavior remains the same under small perturbations in the vector field.

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Bibliographic Details
Published in:Mathematical biosciences 1975, Vol.26 (3), p.267-281
Main Author: Hausrath, Alan R.
Format: Article
Language:English
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Summary:A system of differential equations is proposed as a model of a class of three species predator-prey relationships. The qualitative behavior of solutions is studied, and it is shown that the qualitative behavior remains the same under small perturbations in the vector field.
ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(75)90016-4