Journal of Mathematical Biology

, Volume 48, Issue 3, pp 325–339 | Cite as

Rapid convergence to an equilibrium state in kleptoparasitic populations

  • R.M. Luther
  • M. Broom


Previous papers have modelled the behaviour of populations which are subject to kleptoparasitism, and found those ecological situations in which kleptoparasitism should occur. Individuals were considered to be in one of several states, and an equilibrium distribution for the population was found. It was then assumed, for analytical purposes but without proof, that the population was actually in that equilibrium. In this paper, we show that the equilibrium is a stable one, and that it is reached in a relatively short time for all reasonable values of the ecological parameters. Thus, a population may be expected to spend most of the time in equilibrium, and this assumption of these previous works is justified.


Dynamics Evolutionarily stable strategy Kleptoparasitism Stability 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Centre for Statistics and Stochastic ModellingSchool of Mathematical Sciences, University of SussexUK

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