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 language | English (US) |
|---|---|
| Pages (from-to) | 3484-3495 |
| Number of pages | 12 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 389 |
| Issue number | 17 |
| DOIs | |
| State | Published - Sep 1 2010 |
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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 journal › Article
}
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 -