title: Model Map and Multistability for a Two Predator-One Prey System
metadata.name: dc.contributor.author
metadata.value: Söderbacka, Gunnar Johannes
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-04-10T16:57:45Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-04-10T16:57:45Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: http://doi.org/10.21638/11701/spbu35.2023.102
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41275
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This work contains a review of some important results on a known two predators - one prey system. We also add essential new numerical results on multiple attractors. We consider the case when the predators coexist. We distinguish two possibilities. The first is when the dynamics is well described by the dynamics of a one dimensional map. We discuss the main behaviour of this map. For small parameter regions the map can have two attractors but no more than two. We give a numerical example, when these two attractors exist in the original three-dimensional model. The second case is when this model map is not working and something like spiral chaos often occurs. We give numerical results showing that in this case there can be at least four different attractors and discuss the behaviour of these.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: Bifurcations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: chaos
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: multipleattractors
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: predator-prey
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Model Map and Multistability for a Two Predator-One Prey System
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 12-23.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41275/1/12-23.pdf
resources.format: Adobe PDF
resources.size: 467,49 kB