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The Evolution of a Kleptoparasitic System under Adaptive Dynamics

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Abstract

Kleptoparasitism, the stealing of food items, is a common biological phenomenon which has been modelled mathematically in a series of recent papers. A common assumption, following early work, was that mixed strategy solutions were not possible. In this paper we consider the evolution of mixed strategies under adaptive dynamics and show that such mixed strategies can be stable solutions under certain assumptions. In particular we revisit the recent paper of Broom et al. (Bull math Biol 66, 1645–1658, 2004) which assumed pure solutions only, and reanalyze the model under this new formulation.

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Authors and Affiliations

  1. Department of Mathematics, University of Sussex, Brighton, BN1 9RF, UK

    M. Broom

  2. Department of Mathematical Sciences, University of North Carolina, Greensboro, NC, 27402, USA

    J. Rychtář

Authors
  1. M. Broom
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  2. J. Rychtář
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Corresponding author

Correspondence to J. Rychtář.

Additional information

The second author was supported by the UNCG New Faculty Grant.

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Broom, M., Rychtář, J. The Evolution of a Kleptoparasitic System under Adaptive Dynamics. J. Math. Biol. 54, 151–177 (2007). https://doi.org/10.1007/s00285-006-0005-2

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  • DOI: https://doi.org/10.1007/s00285-006-0005-2

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