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Pré-Publication, Document De Travail Année : 2018

Geodesic trail formation in a two-dimensional model of foraging ants with directed pheromones

Nils Caillerie
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Résumé

We introduce a model of interacting particles imitating a colony of ants looking for a food source in a continuous plane. The mechanism describing communication between ants via pheromone deposition is inspired by a model of oriented interacting particles previously introduced in [Boissard Degond Motsch, Trail formation based on directed pheromone deposition]. Here, we add a food source and introduce two types of pheromones: one pointing to the food source and one pointing to the nest. The particularity of our model is that we let the ants disperse in a two-dimensional space without a pre-existing lattice and we do not assume that the ants know their way back to the nest. We present various simulations of our model and we investigate the ability of the colony to select the shortest path from the nest to the food source. We introduce a system of kinetic equations that can describe the dynamics of this model at the mesoscopic scale and leave its rigorous derivation for future work. Finally, we discuss the biological relevancy of our assumptions by comparing the behavior of our individually-based model with the one of various species of ants as described in the biology literature and we give ideas to improve the model from the optimization perspective.
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Dates et versions

hal-01708562 , version 1 (13-02-2018)
hal-01708562 , version 2 (04-04-2018)
hal-01708562 , version 3 (05-06-2018)

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  • HAL Id : hal-01708562 , version 2

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Nils Caillerie. Geodesic trail formation in a two-dimensional model of foraging ants with directed pheromones. 2018. ⟨hal-01708562v2⟩
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