45235
2016
2016
eng
19
49
article
IOP Publ. Ltd.
Bristol
1
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A single predator charging a herd of prey: effects of self volume and predator-prey decision-making
We study the degree of success of a single predator hunting a herd of prey on a two-dimensional square lattice landscape. We explicitly consider the self volume of the prey restraining their dynamics on the lattice. The movement of both predator and prey is chosen to include an intelligent, decision making step based on their respective sighting ranges, the radius in which they can detect the other species (prey cannot recognise each other besides the self volume interaction): after spotting each other the motion of prey and predator turns from a nearest neighbour random walk into directed escape or chase, respectively. We consider a large range of prey densities and sighting ranges and compute the mean first passage time for a predator to catch a prey as well as characterise the effective dynamics of the hunted prey. We find that the prey's sighting range dominates their life expectancy and the predator profits more from a bad eyesight of the prey than from his own good eye sight. We characterise the dynamics in terms of the mean distance between the predator and the nearest prey. It turns out that effectively the dynamics of this distance coordinate can be captured in terms of a simple Ornstein–Uhlenbeck picture. Reducing the many-body problem to a simple two-body problem by imagining predator and nearest prey to be connected by an effective Hookean bond, all features of the model such as prey density and sighting ranges merge into the effective binding constant.
Journal of physics : A, Mathematical and theoretical
10.1088/1751-8113/49/22/225601
1751-8113
1751-8121
wos2016:2019
225601
WOS:000376392100006
Metzler, R (reprint author), Univ Potsdam, Inst Phys & Astron, D-14476 Potsdam Golm, Germany., rmetzler@uni-potsdam.de
Alexander von Humboldt Fellowship; ARRS Program [P1-0002]; Academy of Finland FiDiPro grant
importub
2020-03-22T16:51:01+00:00
filename=package.tar
357ecfccb10a292ef770197c7c29f4ec
Maria Schwarzl
Aljaz Godec
Gleb Oshanin
Ralf Metzler
eng
uncontrolled
first passage process
eng
uncontrolled
diffusion
eng
uncontrolled
predator-prey model
Institut für Physik und Astronomie
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