Bifurcation and spatio-temporal patterns in a diffusive predator–prey system. (August 2018)
- Record Type:
- Journal Article
- Title:
- Bifurcation and spatio-temporal patterns in a diffusive predator–prey system. (August 2018)
- Main Title:
- Bifurcation and spatio-temporal patterns in a diffusive predator–prey system
- Authors:
- Guo, Shangjiang
- Abstract:
- Abstract: A diffusive predator–prey system with predator functional response subject to Neumann boundary conditions is considered. Existence, nonexistence, and boundedness of non-constant positive steady state solutions are shown to identify the ranges of parameters of spatial pattern formation. Hopf and steady-state bifurcation analyses are carried out in detail. These results provide theoretical evidences to the complex spatio-temporal dynamics found by numerical simulation.
- Is Part Of:
- Nonlinear analysis. Volume 42(2018)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 42(2018)
- Issue Display:
- Volume 42, Issue 2018 (2018)
- Year:
- 2018
- Volume:
- 42
- Issue:
- 2018
- Issue Sort Value:
- 2018-0042-2018-0000
- Page Start:
- 448
- Page End:
- 477
- Publication Date:
- 2018-08
- Subjects:
- Reaction–diffusion -- Predator–prey system -- Hopf bifurcation -- Stability
Nonlinear functional analysis -- Periodicals
Analyse fonctionnelle non linéaire -- Périodiques
Nonlinear functional analysis
Periodicals
515.7248 - Journal URLs:
- http://www.sciencedirect.com/science/journal/14681218 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.nonrwa.2018.01.011 ↗
- Languages:
- English
- ISSNs:
- 1468-1218
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6117.315200
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 6254.xml