Vela-Pérez M, Fontelos M A, Garnier S
Universidad Europea de Madrid, C/ Tajo, Villaviciosa de Odón, Madrid 28670, Spain; Service de Physique de l'Etat Condensé, CEA-Saclay, Gif-sur-Yvette 91191, France.
Instituto de Ciencias Matemáticas, (CSIC), C/ Nicolás Cabrera 15, Madrid 28049, Spain.
Math Biosci. 2015 Apr;262:56-64. doi: 10.1016/j.mbs.2015.01.007. Epub 2015 Jan 30.
In this paper we propose a model for the formation of paths in Argentine ants when foraging in an empty arena. Based on experimental observations, we provide a distribution for the random change in direction that they approximately undergo while foraging as a mixture of a Gaussian and a Pareto distribution. By following the principles described in previous work, we consider persistence and reinforcement to create a model for the motion of ants in the plane. Numerical simulations based on this model lead to the formation of branched ant-trails analogous to those observed experimentally.
在本文中，我们提出了一个模型，用于描述阿根廷蚂蚁在空旷场地觅食时路径的形成。基于实验观察，我们给出了它们在觅食过程中方向随机变化的分布，该分布近似为高斯分布和帕累托分布的混合。按照先前工作中描述的原理，我们考虑持续性和强化作用，以创建一个蚂蚁在平面内运动的模型。基于此模型的数值模拟导致了分支状蚁道的形成，类似于实验中观察到的情况。
