Anomalous invasion in a 2d model of chemotactic predation

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

It has been hypothesized that plankton predators sense the presence of their prey through detection of chemical signals exuded by the prey. This process is formulated using elements of existing models, tailored to correspond to the specific process under investigation. The motivation for the resulting model is discussed in detail. Numerical results are then presented. It is found that the front representing the advance of the predator into the prey is irregular in a novel way, and the reasons for this anomalous invasion are discussed. It is recognized that reaction-diffusion models, starting perhaps with Turing, can lead to what might have been thought of as anomalous patterns - yet the "flicker" front advance discovered here is indeed novel.

Original languageEnglish (US)
Pages (from-to)3484-3495
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume389
Issue number17
DOIs
StatePublished - Sep 1 2010

Fingerprint

Invasion
Prey
Anomalous
predators
Predator
plankton
Plankton
flicker
Reaction-diffusion Model
Turing
Irregular
Model
Numerical Results

Keywords

  • Chemotaxis
  • Front advance
  • Plankton
  • Predator-prey dynamics

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Anomalous invasion in a 2d model of chemotactic predation. / Willemsen, Jorge.

In: Physica A: Statistical Mechanics and its Applications, Vol. 389, No. 17, 01.09.2010, p. 3484-3495.

Research output: Contribution to journalArticle

@article{9477c3517bd343bf9eac84013a156e8a,
title = "Anomalous invasion in a 2d model of chemotactic predation",
abstract = "It has been hypothesized that plankton predators sense the presence of their prey through detection of chemical signals exuded by the prey. This process is formulated using elements of existing models, tailored to correspond to the specific process under investigation. The motivation for the resulting model is discussed in detail. Numerical results are then presented. It is found that the front representing the advance of the predator into the prey is irregular in a novel way, and the reasons for this anomalous invasion are discussed. It is recognized that reaction-diffusion models, starting perhaps with Turing, can lead to what might have been thought of as anomalous patterns - yet the {"}flicker{"} front advance discovered here is indeed novel.",
keywords = "Chemotaxis, Front advance, Plankton, Predator-prey dynamics",
author = "Jorge Willemsen",
year = "2010",
month = "9",
day = "1",
doi = "10.1016/j.physa.2010.04.017",
language = "English (US)",
volume = "389",
pages = "3484--3495",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",
number = "17",

}

TY - JOUR

T1 - Anomalous invasion in a 2d model of chemotactic predation

AU - Willemsen, Jorge

PY - 2010/9/1

Y1 - 2010/9/1

N2 - It has been hypothesized that plankton predators sense the presence of their prey through detection of chemical signals exuded by the prey. This process is formulated using elements of existing models, tailored to correspond to the specific process under investigation. The motivation for the resulting model is discussed in detail. Numerical results are then presented. It is found that the front representing the advance of the predator into the prey is irregular in a novel way, and the reasons for this anomalous invasion are discussed. It is recognized that reaction-diffusion models, starting perhaps with Turing, can lead to what might have been thought of as anomalous patterns - yet the "flicker" front advance discovered here is indeed novel.

AB - It has been hypothesized that plankton predators sense the presence of their prey through detection of chemical signals exuded by the prey. This process is formulated using elements of existing models, tailored to correspond to the specific process under investigation. The motivation for the resulting model is discussed in detail. Numerical results are then presented. It is found that the front representing the advance of the predator into the prey is irregular in a novel way, and the reasons for this anomalous invasion are discussed. It is recognized that reaction-diffusion models, starting perhaps with Turing, can lead to what might have been thought of as anomalous patterns - yet the "flicker" front advance discovered here is indeed novel.

KW - Chemotaxis

KW - Front advance

KW - Plankton

KW - Predator-prey dynamics

UR - http://www.scopus.com/inward/record.url?scp=77953710486&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953710486&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2010.04.017

DO - 10.1016/j.physa.2010.04.017

M3 - Article

AN - SCOPUS:77953710486

VL - 389

SP - 3484

EP - 3495

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 17

ER -