2014
DOI: 10.1103/physreve.90.012813
|View full text |Cite
|
Sign up to set email alerts
|

Effect of environment fluctuations on pattern formation of single species

Abstract: System-environment interactions are intrinsically nonlinear and dependent on the interplay between many degrees of freedom. The complexity may be even more pronounced when one aims to describe biologically motivated systems. In that case, it is useful to resort to simplified models relying on effective stochastic equations. A natural consideration is to assume that there is a noisy contribution from the environment, such that the parameters that characterize it are not constant but instead fluctuate around the… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
20
0

Year Published

2015
2015
2021
2021

Publication Types

Select...
8
1

Relationship

1
8

Authors

Journals

citations
Cited by 14 publications
(20 citation statements)
references
References 26 publications
0
20
0
Order By: Relevance
“…We note that the existence of a stable trapping potential for clusters of these dimensions is unexpected from single particle theories of acoustic radiation forces. Accordingly, theses observations call for a deeper understanding of the interaction of AVs with various particles involving multiple scattering processes and secondary forces and torques [42,43].…”
mentioning
confidence: 99%
“…We note that the existence of a stable trapping potential for clusters of these dimensions is unexpected from single particle theories of acoustic radiation forces. Accordingly, theses observations call for a deeper understanding of the interaction of AVs with various particles involving multiple scattering processes and secondary forces and torques [42,43].…”
mentioning
confidence: 99%
“…These fragments, also known as patches, are not completely isolated as they are coupled due to movements of individuals in space. For modeling purposes, as a first step one can adopt a single patch viewpoint, taking into account the impact of the surrounding population in an effective manner [4][5][6][7]. As a further step beyond the single patch level, one can resort to a spatially explicit model.…”
mentioning
confidence: 99%
“…[9][10][11][12][13][14][15] Noise can be divided into two categories: extrinsic and intrinsic. The extrinsic noise can originate from the environment 16 and an external noise generator in experimental systems, whereas intrinsic noise is generated due to an interplay between the components of the systems and could be of small amplitude. But at sufficiently large values this intrinsic noise can also affect the deterministic dynamics of the system.…”
Section: Introductionmentioning
confidence: 99%