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n-Dimensional ratio-dependent predator-prey systems with memory

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Abstract

This paper deals with ratio-dependent predator-prey systems with delay. We will investigate under what conditions delay cannot cause instability in higher dimensions. We give an example when delay causes instability.

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Authors and Affiliations

  1. Institute of Mathematics, Budapest University of Technology and Economics, H-1111, Budapest, Hungary

    Krisztina Kiss

Authors
  1. Krisztina Kiss
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  2. János Tóth
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Corresponding author

Correspondence to Krisztina Kiss.

Additional information

This paper is dedicated to the memory of professor Miklós Farkas, colleague and friend.

Partially supported by the National Science Foundation, Hungary (NK 63066).

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Kiss, K., Tóth, J. n-Dimensional ratio-dependent predator-prey systems with memory. Differ Equ Dyn Syst 17, 17–35 (2009). https://doi.org/10.1007/s12591-009-0002-1

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  • DOI: https://doi.org/10.1007/s12591-009-0002-1

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