Adaptive behaviour in a predator-prey model leads to multiple equilibrium states
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2009 | |
| dc.contributor.author | Pimenov, Alexander | |
| dc.contributor.author | Korobeinikov, Andrei | |
| dc.contributor.author | Rachinskii, Dmitrii | |
| dc.date.accessioned | 2016-03-24T17:37:02Z | |
| dc.date.available | 2019-06-28T08:12:53Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | There is evidence that multiple stable equilibrium states are possible in real-life ecological systems. In order to verify a hypothesis that such a multitude of equilibrium states can be caused by adapting of animal behaviour to changes of environmental conditions, we consider a simple predator-prey model where prey changes a mode of behaviour in response to the pressure of predation. This model exhibits two stable coexisting equilibrium states with basins of attraction separated by a separatrix of a saddle point. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/1925 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2896 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Lotka-Volterra model | eng |
| dc.subject.other | predator-prey model | eng |
| dc.subject.other | coexistence | eng |
| dc.subject.other | stability of biosystems | eng |
| dc.subject.other | multiple equilibria | eng |
| dc.subject.other | predator pit | eng |
| dc.subject.other | fold bifurcation | eng |
| dc.title | Adaptive behaviour in a predator-prey model leads to multiple equilibrium states | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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