From Birds to Bacteria: Generalised Velocity Jump Processes with Resting States.

ABSTRACT: There are various cases of animal movement where behaviour broadly switches between two modes of operation, corresponding to a long-distance movement state and a resting or local movement state. Here, a mathematical description of this process is formulated, adapted from Friedrich et al. (Phys Rev E, 74:041103, 2006b). The approach allows the specification any running or waiting time distribution along with any angular and speed distributions. The resulting system of integro-partial differential equations is tumultuous, and therefore, it is necessary to both simplify and derive summary statistics. An expression for the mean squared displacement is derived, which shows good agreement with experimental data from the bacterium Escherichia coli and the gull Larus fuscus. Finally, a large time

SUBMITTER: Taylor-King JP 

PROVIDER: S-EPMC4548017 | biostudies-literature | 2015 Jul

REPOSITORIES: biostudies-literature