title: Sharing a resource with randomly arriving foragers.
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.
authors.affiliation: BIOCORE team, INRIA-Sophia Antipolis Méditerranée, B.P. 93, F-06902 Sophia Antipolis Cedex, France. Electronic address: Pierre.Bernhard@inria.fr.
authors.forename: Pierre
authors.initials: P
authors.lastname: Bernhard
authors.affiliation: AGROCAMPUS OUEST, UMR 1349 IGEPP, F-35042 Rennes Cedex, France. Electronic address: fhamelin@agrocampus-ouest.fr.
authors.forename: Frédéric
authors.initials: F
authors.lastname: Hamelin
mesh_terms: D000465:Algorithms; D000818:Animals; D005075:Biological Evolution; D017753:Ecosystem; D005247:Feeding Behavior; D020387:Food Chain; D005658:Fungi / Q000472:pathogenicity; D008390:Markov Chains; D055641:Mathematical Concepts; D008954:Models, Biological; D010944:Plants / Q000382:microbiology; D016012:Poisson Distribution; D013269:Stochastic Processes
keywords: Foraging; Functional response; Poisson process; Random population