A game-theoretic model of kleptoparasitic behavior in polymorphic populations

Journal of Theoretical Biology
Mark BroomJan Rychtár

Abstract

Kleptoparasitism, the stealing of food by one animal from another, is a widespread biological phenomenon. In this paper we build upon earlier models to investigate a population of conspecifics involved in foraging and, potentially, kleptoparasitism. We assume that the population is composed of four types of individuals, according to their strategic choices when faced with an opportunity to steal and to resist an attack. The fitness of each type of individual depends upon various natural parameters, for example food density, the handling time of a food item and the probability of mounting a successful attack against resistance, as well as the choices that they make. We find the evolutionarily stable strategies (ESSs) for all parameter combinations and show that there are six possible ESSs, four pure and two mixtures of two strategies, that can occur. We show that there is always at least one ESS, and sometimes two or three. We further investigate the influence of the different parameters on when each type of solution occurs.

References

Jul 7, 1977·Journal of Theoretical Biology·W G Hines
Mar 3, 2004·Journal of Mathematical Biology·R M Luther, M Broom
Nov 4, 2004·Bulletin of Mathematical Biology·Mark BroomGraeme D Ruxton
May 26, 2006·Journal of Mathematical Biology·M Broom, J Rychtár

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Citations

Jan 27, 2010·Journal of Theoretical Biology·S HummertS Schuster
Jan 26, 2010·Journal of Theoretical Biology·Mark BroomJan Rychtár
Dec 4, 2014·Journal of Mathematical Biology·Mark BroomJan Rychtář
Jan 15, 2018·Journal of Mathematical Biology·József GarayTamás Varga
Feb 22, 2018·Scientific Reports·József GarayTomás Cabello
Sep 19, 2017·Journal of Mathematical Biology·Christoforos HadjichrysanthouJan Rychtář
Jan 1, 2018·Theoretical Ecology·Jessica A PhillipsMartin Krkošek

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