A mathematical model for chemical mass recruitment of ants

Weyer, Jürgen

doi:10.1007/bf00276229

Cited by 3 publications

(2 citation statements)

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“…Concerning the computational simulation of ant trail-laying, we refer to [7,9,12,24,40,41,42,51,52,54], although again this list is far from complete. See especially [7] for a recent approach involving directed pheromones, and an excellent, up-to-date review of available numerical and modeling strategies for ant foraging.…”

Section: Introductionmentioning

confidence: 99%

Modeling ant foraging: A chemotaxis approach with pheromones and trail formation

Amorim

2015

Journal of Theoretical Biology

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We consider a continuous mathematical description of a population of ants and simulate numerically their foraging behavior using a system of partial differential equations of chemotaxis type. We show that this system accurately reproduces observed foraging behavior, especially spontaneous trail formation and efficient removal of food sources. We show through numerical experiments that trail formation is correlated with efficient food removal. Our results illustrate the emergence of trail formation from simple modeling principles.

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Section: Introductionmentioning

confidence: 99%

Modeling ant foraging: A chemotaxis approach with pheromones and trail formation

Amorim

2015

Journal of Theoretical Biology

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“…For some modern references on the trail-laying behavior of ants, we refer to [5,2,3,7,16,19,18], and the references therein, although of course many other papers could be cited. Concerning the computational simulation of ant trail-laying, we refer to [4,6,7,12,15,16,20,21,22], though again this list is far from complete. See especially [4] for a recent PDE approach (though quite different from our own), and an in-depth literature review of available numerical and modeling strategies for ant foraging.…”

Section: Introductionmentioning

confidence: 99%

A continuous model of ant foraging with pheromones and trail formation

Amorim

2015

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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We propose and numerically analyze a PDE model of ant foraging behavior. Ant foraging is a prime example of individuals following simple behavioral rules based on local information producing complex, organized and "intelligent" strategies at the population level. One of its main aspects is the widespread use of pheromones, which are chemical compounds laid by the ants used to attract other ants to a food source. In this work, we consider a continuous description of a population of ants and simulate numerically the foraging behavior using a system of PDEs of chemotaxis type. We show that, numerically, this system accurately reproduces observed foraging behavior, such as trail formation and efficient removal of food sources.

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Mathematical models for some types of chemical information systems

Körner

Weyer

1987

J. Math. Biology

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A mathematical model for chemical mass recruitment of ants

Cited by 3 publications

References 4 publications

Modeling ant foraging: A chemotaxis approach with pheromones and trail formation

Modeling ant foraging: A chemotaxis approach with pheromones and trail formation

A continuous model of ant foraging with pheromones and trail formation

Mathematical models for some types of chemical information systems

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