A generalized master equation approach to modelling anomalous transport in animal movement

作者：Giuggioli Luca^*; Sevilla Francisco J; Kenkre V M

来源：Journal of Physics A-Mathematical and Theoretical, 2009, 42(43): 434004.

DOI：10.1088/1751-8113/42/43/434004

We present some models of random walks with internal degrees of freedom that have the potential to find application in the context of animal movement and stochastic search. The formalism we use is based on the generalized master equation which is particularly convenient here because of its inherent coarse-graining procedure whereby a random walker position is averaged over the internal degrees of freedom. We show some instances in which non-local jump probabilities emerge from the coupling of the motion to the internal degrees of freedom, and how the tuning of one parameter can give rise to sub-, super- and normal diffusion at long times. Remarks on the relation between the generalized master equation, continuous time random walks and fractional diffusion equations are also presented.

• 出版日期2009-10-30