A simple plankton model with complex behaviour
In this paper we extend the P1P2ZN model, introduced by Cropp and Norbury [5], to investigate the effects of specialist (or discriminate) and generalist (or indiscriminate) grazing (as parameterised by ρ) on a prey-prey-predator model for plankton, in the presence of a limiting nutrient. We also exa...
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| Format: | Conference item |
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Chaotic Modeling, Simulation and Applications
2015
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| _version_ | 1797055577096978432 |
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| author | Moroz, I Norbury, J |
| author_facet | Moroz, I Norbury, J |
| author_sort | Moroz, I |
| collection | OXFORD |
| description | In this paper we extend the P1P2ZN model, introduced by Cropp and Norbury [5], to investigate the effects of specialist (or discriminate) and generalist (or indiscriminate) grazing (as parameterised by ρ) on a prey-prey-predator model for plankton, in the presence of a limiting nutrient. We also examine the influence of facultative and obligate omnivory on the survival of Z as a generalist predator, as we vary the linear mortality parameter σZ . This leads to bifurcation transition diagrams, which also include steady state stability branches for certain critical points. For specialist grazing (ρ = 0) the bifurcation transition diagram shows steady states, periodic and chaotic dynamics, with very small windows of periodic behaviour, as σZ varies, while for generalist grazing (ρ = 1), we only find periodic or steady state behaviours. The dynamics is interpretable in terms of facultative/obligate omnivory of Z. Results suggest that green ocean plankton code in global climate change modelling might run more stably with generalist grazing terms and careful control of grazer mortality. |
| first_indexed | 2024-03-06T19:12:07Z |
| format | Conference item |
| id | oxford-uuid:17210ec3-c0db-4c0a-905a-341a7a0e9f42 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:12:07Z |
| publishDate | 2015 |
| publisher | Chaotic Modeling, Simulation and Applications |
| record_format | dspace |
| spelling | oxford-uuid:17210ec3-c0db-4c0a-905a-341a7a0e9f422022-03-26T10:35:19ZA simple plankton model with complex behaviourConference itemhttp://purl.org/coar/resource_type/c_5794uuid:17210ec3-c0db-4c0a-905a-341a7a0e9f42Symplectic Elements at OxfordChaotic Modeling, Simulation and Applications2015Moroz, INorbury, JIn this paper we extend the P1P2ZN model, introduced by Cropp and Norbury [5], to investigate the effects of specialist (or discriminate) and generalist (or indiscriminate) grazing (as parameterised by ρ) on a prey-prey-predator model for plankton, in the presence of a limiting nutrient. We also examine the influence of facultative and obligate omnivory on the survival of Z as a generalist predator, as we vary the linear mortality parameter σZ . This leads to bifurcation transition diagrams, which also include steady state stability branches for certain critical points. For specialist grazing (ρ = 0) the bifurcation transition diagram shows steady states, periodic and chaotic dynamics, with very small windows of periodic behaviour, as σZ varies, while for generalist grazing (ρ = 1), we only find periodic or steady state behaviours. The dynamics is interpretable in terms of facultative/obligate omnivory of Z. Results suggest that green ocean plankton code in global climate change modelling might run more stably with generalist grazing terms and careful control of grazer mortality. |
| spellingShingle | Moroz, I Norbury, J A simple plankton model with complex behaviour |
| title | A simple plankton model with complex behaviour |
| title_full | A simple plankton model with complex behaviour |
| title_fullStr | A simple plankton model with complex behaviour |
| title_full_unstemmed | A simple plankton model with complex behaviour |
| title_short | A simple plankton model with complex behaviour |
| title_sort | simple plankton model with complex behaviour |
| work_keys_str_mv | AT morozi asimpleplanktonmodelwithcomplexbehaviour AT norburyj asimpleplanktonmodelwithcomplexbehaviour AT morozi simpleplanktonmodelwithcomplexbehaviour AT norburyj simpleplanktonmodelwithcomplexbehaviour |