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Sharing a resource with randomly arriving foragers

Pierre Bernhard 1 Frédéric Hamelin 2
1 BIOCORE - Biological control of artificial ecosystems
INRA - Institut National de la Recherche Agronomique, CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche
Abstract : We consider a problem of foraging where identical foragers, or predators, arrive as a stochastic Poisson process on the same patch of resource. We provide effective formulas for the expected resource intake of any of the agents, as a function of its rank, given their common functional response. We give a general theory, both in finite and infinite horizon, and show two examples of applications to harvesting a common under different assumptions about the resource dynamics and the functional response, and an example of application on a model that fits, among others, a problem of evolution of fungal plant parasites.
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Pierre Bernhard, Frédéric Hamelin. Sharing a resource with randomly arriving foragers. Mathematical Biosciences, Elsevier, 2016, 273 (91), pp.91-101. ⟨10.1016/j.mbs.2016.01.004⟩. ⟨hal-01294950⟩

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