A Lévy Walk Model not Affected by the Memory Error

Abstract

In this paper, we investigate the influence of memory errors on a random walk model (the direction-comparison (DC) model), which was developed by the authors. In the DC model, a walker sometimes alters its directional rule, which is dependent on the directional inconsistency between the current direction and the past movement direction. Here, we introduced two different types of memory errors into the DC model: the recall error and the direction error. We found that the DC model was not influenced by a former type of error, suggesting that our model could be robust against some kinds of errors.