Ocean plankton populations as excitable media

Truscott, James E.; Brindley, J.

doi:10.1016/s0092-8240(05)80300-3

Cited by 111 publications

(97 citation statements)

References 10 publications

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“…This behavior bears a resemblance to characteristics of an excitable media [28]. Moreover, a similar time evolution may be found in processes that take place in plankton populations and are known as "spring blooms" and "red tide" phenomena [29].…”

Section: Origin Of Density Outburstssupporting

confidence: 53%

Density outbursts in a food web model with a closed nutrient cycle

Szwabiński¹

2013

Physica A: Statistical Mechanics and its Applications

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A spatial three level food web model with a closed nutrient cycle is presented and analyzed via Monte Carlo simulations. The time evolution of the model reveals two asymptotic states: an absorbing one with all species being extinct, and a coexisting one, in which concentrations of all species are non-zero. There are two possible ways for the system to reach the absorbing state. In some cases the densities increase very quickly at the beginning of a simulation and then decline slowly and almost monotonically. In others, well pronounced peaks in the R, C and D densities appear regularly before the extinction. Those peaks correspond to density outbursts (waves) traveling through the system. We investigate the mechanisms leading to the waves. In particular, we show that the percolation of the detritus (i. e. the accumulation of nutrients) is necessary for the emergence of the waves. Moreover, our results corroborate the hypothesis that top-level predators play an essential role in maintaining the stability of a food web (top-down control).

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Section: Origin Of Density Outburstssupporting

confidence: 53%

Density outbursts in a food web model with a closed nutrient cycle

Szwabiński¹

2013

Physica A: Statistical Mechanics and its Applications

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“…The Truscott-Brindley model exhibits type-II excitability, and is known to mimic plankton blooms in ecosystems 8 .…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The model (1) has equilibrium point and oscillatory states for different parametric set up. To exhibit slow-fast dynamics the value of ν must stay in the parameter range: 0 < ν < the Truscott-Brindley model 8 . An exemplary parameter values for an equilibrium point are: β = 0.43, ν = 0.053, γ = 0.05 and ω = 0.34.…”

Section: A Non-dimensionalized Truscott-brindley Modelmentioning

confidence: 99%

Generation and cessation of oscillations: Interplay of excitability and dispersal in a class of ecosystems

Arumugam

Banerjee

Dutta

2016

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We investigate the complex spatiotemporal dynamics of an ecological network with species dispersal mediated via a mean-field coupling. The local dynamics of the network are governed by the Truscott-Brindley model, which is an important ecological model showing excitability. Our results focus on the interplay of excitability and dispersal by always considering that the individual nodes are in their (excitable) steady states. In contrast to the previous studies, we not only observe the dispersal induced generation of oscillation but we also report two distinct mechanisms of cessation of oscillations, namely amplitude and oscillation death. We show that, the dispersal between the nodes influences the intrinsic dynamics of the system resulting multiple oscillatory dynamics such as period-1 and period-2 limit cycles. We also show the existence of multi-cluster states which has much relevance and importance in ecology.Species dispersal among connected habitats often identifies the complex spatial dynamics of ecological system and significantly increases the persistence of ecological communities for longer time. Various dynamical models have been used to describe the effect of dispersal in connected habitats. As far as ecological models are concerned, sometimes there exists slow-fast time scales with very interesting dynamics. For example, in aquatic ecosystem, plankton bloom is a result of sudden changes in environmental fluctuations that makes plankton ecosystem as excitable media. Take this into account, the effect of dispersal in slow-fast dynamical ecological system is analyzed qualitatively using mean-field assumption as an external force. In a homogeneous environmental set up, the coupled slow-fast system shows multiple characteristics of sensitivity in synchronized oscillations for different initial density.

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“…Therefore, in order to prevent and control harmful algae blooms a better understanding of the mechanisms that trigger the occurrence or explain the absence of a phytoplankton bloom is of considerable significance. Truscott and Brindley [2] were the first to offer a model considering the preypredator system of phytoplankton and zooplankton as a nonlinear excitable system to explain the dynamics of harmful algal blooms. In the framework, the evolution of phytoplankton and zooplankton populations is formulated bẏ…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control

Zhao

Yan

2016

Discrete Dynamics in Nature and Society

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This paper investigates the dynamics of a seasonally forced phytoplankton-zooplankton model with impulsive biological control. It shows that the periodic eradicated solution is unstable. Further, the condition for permanence of the system is established by relations between the model parameters and the intensity of the impulses. The numerical analysis is performed to study the effect of seasonality and impulsive perturbations on plankton dynamics. The numerical results imply that the seasonal forcing can trigger more periodic mode and the impulsive period for control of the size of phytoplankton is more practicable to the system than the impulsive release of zooplankton. These conclusions provide a better understanding of controlling harmful algae blooms.

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Ocean plankton populations as excitable media

Cited by 111 publications

References 10 publications

Density outbursts in a food web model with a closed nutrient cycle

Density outbursts in a food web model with a closed nutrient cycle

Generation and cessation of oscillations: Interplay of excitability and dispersal in a class of ecosystems

Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control

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