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Mathematical model for path selection by ants between nest and food source

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dc.contributor.author Bodnar, Marek
dc.contributor.author Okińczyc, Natalia
dc.contributor.author Vela Pérez, María
dc.date.accessioned 2017-01-18T18:57:59Z
dc.date.available 2017-01-18T18:57:59Z
dc.date.issued 2017
dc.identifier.citation Bodnar, M., Okińczyc, N., & Vela-Pérez, M. (2017). Mathematical Model for Path Selection by Ants Between Nest and Food Source. Mathematical Biosciences, 285, 14-24. spa
dc.identifier.issn 00255564
dc.identifier.uri http://hdl.handle.net/11268/6175
dc.description.abstract Several models have been proposed to describe the behavior of ants when moving from nest to food sources. Most of these studies where based on numerical simulations with no mathematical justification. In this paper, we propose a mechanism for the formation of paths of minimal length between two points by a collection of individuals undergoing reinforced random walks taking into account not only the lengths of the paths but also the angles (connected to the preference of ants to move along straight lines). Our model involves reinforcement (pheromone accumulation), persistence (tendency to preferably follow straight directions in absence of any external effect) and takes into account the bifurcation angles of each edge (represented by a probability of willingness of choosing the path with the smallest angle). We describe analytically the results for 2 ants and different path lengths and numerical simulations for several ants. spa
dc.description.sponsorship SIN FINANCIACIÓN spa
dc.language.iso eng spa
dc.subject.other Stochastic processes spa
dc.title Mathematical model for path selection by ants between nest and food source spa
dc.type article spa
dc.description.impact 1.500 JCR (2017) Q3, 50/85 Biology, 39/59 Mathematical and Computational Biology spa
dc.identifier.doi 10.1016/j.mbs.2016.12.002
dc.rights.accessRights closedAccess en
dc.subject.uem Matemáticas spa
dc.subject.unesco Modelo matemático spa
dc.description.filiation UEM spa
dc.peerreviewed Si spa


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