A Simple Plankton Model with Complex Behaviour

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Moroz, IM
Cropp, R
Norbury, J
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Christos Skiadas

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2016
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Abstract

In this paper we extend the P1P2ZN model, introduced by Cropp and Norbury (J Plankton Res 31:939–963, 2009) 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.

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The Foundations of Chaos Revisited: From Poincare to Recent Advancements

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© 2016 Springer. This is the author-manuscript version of this paper. It is reproduced here in accordance with the copyright policy of the publisher. Please refer to the publisher’s website for further information.

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Other environmental sciences not elsewhere classified

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