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  • 1 L. Eötvös University, Ecological Modelling Research Group of the Hungarian Academy of Sciences and Department of Plant Taxonomy and Ecology Pázmány P. sétány 1/C, H-1117 Budapest, Hungary
  • 2 Department of Mathematics Wilfried Laurier University Waterloo, Ontario N2L 3C5, Canada
  • 3 Institute of Mathematics and Informatics, Szent István University Páter K. u. 1., H-2103 Gödöllő, Hungary
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The paper deals with two bee species collecting nectar from two plant species. It is assumed that the nectar stock is reduced but not exhausted by the nectar collection, each individual's pay-off depends linearly on its own foraging strategy (i.e., on the probability of a visit to a plant species) and on the average strategies of both species. For the corresponding matrix game model, it is shown that evolutionary stability of a totally mixed equilibrium foraging strategy pair is only determined by the efficiency parameters of nectar collection. The latter parameters depend on morphological characteristics of all involved species, determined by the long-term evolutionary processes. The evolutionarily stable foraging strategy is locally asymptotically stable with respect to the corresponding replicator dynamics.

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