ERA

Download the full-sized PDF of Pattern formation in prey-taxis systemsDownload the full-sized PDF

Analytics

Share

Permanent link (DOI): https://doi.org/10.7939/R3Z199

Download

Export to: EndNote  |  Zotero  |  Mendeley

Communities

This file is in the following communities:

Biological Sciences, Department of

Collections

This file is in the following collections:

Journal Articles (Biological Sciences)

Pattern formation in prey-taxis systems Open Access

Descriptions

Author or creator
Lee, J.M.
Hillen, T.
Lewis, M.A.
Additional contributors
Subject/Keyword
stability
prey-taxis
biological control
pattern formation
predator-prey models
Type of item
Journal Article (Published)
Language
English
Place
Time
Description
In this paper, we consider spatial predator–prey models with diffusion and prey-taxis. We investigate necessary conditions for pattern formation using a variety of non-linear functional responses, linear and non-linear predator death terms, linear and non-linear prey-taxis sensitivities, and logistic growth or growth with an Allee effect for the prey.We identify combinations of the above non-linearities that lead to spatial pattern formation and we give numerical examples. It turns out that prey-taxis stabilizes the system and for large prey-taxis sensitivity we do not observe pattern formation. We also study and find necessary conditions for global stability for a type I functional response, logistic growth for the prey, non-linear predator death terms, and non-linear prey-taxis sensitivity.
Date created
2009
DOI
doi:10.7939/R3Z199
License information
Rights
© 2009 Taylor & Francis
Citation for previous publication
J. M. Lee, T. Hillen & M. A. Lewis (2009): Pattern formation in prey-taxis systems, Journal of Biological Dynamics, 3:6, 551-573. doi: 10.1080/17513750802716112
Source
Link to related item

File Details

Date Uploaded
Date Modified
2014-05-01T03:58:05.923+00:00
Audit Status
Audits have not yet been run on this file.
Characterization
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 831760
Last modified: 2015:10:12 13:32:00-06:00
Filename: JOBD_3_2009_551.pdf
Original checksum: 982e7258fd2c2eb3a53d203fee59dda2
Well formed: false
Valid: false
Status message: Invalid page dictionary object offset=3084
Activity of users you follow
User Activity Date