article · 01/07/2013
The shadow principle: An optimal survival strategy for a prey chased by random predators
Résumé
We consider a lattice model of the annihilation process A + B -> B, when a mobile prey A is chased by identical, independent predators B performing random motions until one of them finds A and destroys it. It is assumed that each predator follows some ``most probable{''} trajectory around which it performs a random motion. It is shown that, if the random motion of the predators satisfies certain conditions, the prey A can maximize its survival probability by following a specific trajectory which mimics the preferred trajectories of the predators: we call this optimal trajectory as the ``shadow{''} of the predator. This is an extension of the so-called ``Pascal Principle{''}, studied in the recent literature. We discuss the conditions which allow for such extensions, and give examples where they are realized. (C) 2013 Elsevier B.V. All rights reserved.
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Moreau, M., Benichou, O., Oshanin, G., & Voituriez, R. (2013). The shadow principle: An optimal survival strategy for a prey chased by random predators. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 392(13). https://doi.org/10.1016/j.physa.2013.02.020@article{Moreau2013_234,
author = {Moreau, M. and Benichou, O. and Oshanin, G. and Voituriez, R.},
year = {2013},
month = {7},
title = {The shadow principle: An optimal survival strategy for a prey chased by random predators},
journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS},
volume = {392},
number = {13},
abstract = {We consider a lattice model of the annihilation process A + B -> B, when a mobile prey A is chased by identical, independent predators B performing random motions until one of them finds A and destroys it. It is assumed that each predator follows some ``most probable\{''\} trajectory around which it performs a random motion. It is shown that, if the random motion of the predators satisfies certain conditions, the prey A can maximize its survival probability by following a specific trajectory which mimics the preferred trajectories of the predators: we call this optimal trajectory as the ``shadow\{''\} of the predator. This is an extension of the so-called ``Pascal Principle\{''\}, studied in the recent literature. We discuss the conditions which allow for such extensions, and give examples where they are realized. (C) 2013 Elsevier B.V. All rights reserved.},
url = {http://www.dx.doi.org/10.1016/j.physa.2013.02.020},
doi = {10.1016/j.physa.2013.02.020},
issn = {0378-4371},
}TY - JOUR
AU - Moreau, M.
AU - Benichou, O.
AU - Oshanin, G.
AU - Voituriez, R.
PY - 2013
DA - 2013/07/01
TI - The shadow principle: An optimal survival strategy for a prey chased by random predators
JO - PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
VL - 392
IS - 13
SN - 0378-4371
AB - We consider a lattice model of the annihilation process A + B -> B, when a mobile prey A is chased by identical, independent predators B performing random motions until one of them finds A and destroys it. It is assumed that each predator follows some ``most probable{''} trajectory around which it performs a random motion. It is shown that, if the random motion of the predators satisfies certain conditions, the prey A can maximize its survival probability by following a specific trajectory which mimics the preferred trajectories of the predators: we call this optimal trajectory as the ``shadow{''} of the predator. This is an extension of the so-called ``Pascal Principle{''}, studied in the recent literature. We discuss the conditions which allow for such extensions, and give examples where they are realized. (C) 2013 Elsevier B.V. All rights reserved.
DO - 10.1016/j.physa.2013.02.020
UR - http://www.dx.doi.org/10.1016/j.physa.2013.02.020
ER -