Ant foraging and geodesic paths in labyrinths: analytical and computational results

DOI10.1016/J.JTBI.2012.11.025zbMath1406.92728OpenAlexW2155747688WikidataQ52748137 ScholiaQ52748137MaRDI QIDQ1715177

M. Vela-Pérez, Marco Antonio Fontelos, Juan J. L. Velazquez

Publication date: 4 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2012.11.025

zbMATH Keywords

reinforced random walksstochastic processestransport networksant foraging efficiency

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Animal behavior (92D50)

Related Items (4)

A PDE model for the dynamics of trail formation by ants ⋮ Mathematical model for path selection by ants between nest and food source ⋮ Finding geodesics on graphs using reinforcement learning ⋮ From individual to collective dynamics in argentine ants (\textit{Linepithema humile})

Cites Work

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• Dynamics of vertex-reinforced random walks
• A survey of random processes with reinforcement
• A mathematical model of foraging in a dynamic environment by trail-laying Argentine ants
• Vertex-reinforced random walk on arbitrary graphs
• Trail formation based on directed pheromone deposition
• Path efficiency of ant foraging trails in an artificial network
• Qualitative Behavior of a Keller–Segel Model with Non-Diffusive Memory
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Reinforced random walk

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