A simple plankton model with complex behaviour
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Author(s)
Moroz, I
Cropp, R
Norbury, J
Griffith University Author(s)
Year published
2015
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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 p) 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 oz • This leads to bifurcation transition diagrams, which also include steady state stability branches for certain critical points. For specialist grazing (p = 0) the bifurcation transition ...
View more >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 p) 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 oz • This leads to bifurcation transition diagrams, which also include steady state stability branches for certain critical points. For specialist grazing (p = 0) the bifurcation transition diagram shows steady states, periodic and chaotic dynamics, with very small windows of periodic behaviour, as az varies, while for generalist grazing (p = 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.
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View more >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 p) 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 oz • This leads to bifurcation transition diagrams, which also include steady state stability branches for certain critical points. For specialist grazing (p = 0) the bifurcation transition diagram shows steady states, periodic and chaotic dynamics, with very small windows of periodic behaviour, as az varies, while for generalist grazing (p = 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.
View less >
Conference Title
CHAOS 2015 - 8th Chaotic Modeling and Simulation International Conference, Proceedings
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© 2015 International Society for Advanced Science and Technology (ISAST). The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the conference's website for access to the definitive, published version.
Subject
Ecological impacts of climate change and ecological adaptation
Behavioural ecology