How copper contamination pulses shape the regime shifts of phytoplankton−zooplankton dynamics?
Résumé
In this study, we consider the effects of impulsive copper contamination
of the phytoplankton−zooplankton dynamics. We use the model on interactions
between algae and Daphnia with deterministic and stochastic impulse
copper contamination. In low environmental copper concentration
(Cucst < 4.4μgL−1) our analysis show that, deterministic and stochastic
pulses may promote the persistence of Daphnia and algae populations unlike
the absence of pulses. We show that deterministic and stochastic pulses accelerate
deficiency and toxicity processes, leading to the extinction of all populations,
in high (Cucst > 28μgL−1) minimal of copper concentrations. In intermediate
concentrations, deterministic and stochastic pulses may transform
population dynamics in complex oscillations. Bifurcation diagram was computed
to illustrate the different type observed dynamics in an environment
with pulses of contamination. Depending on minimum copper concentration
in the environment, this bifurcation diagram highlighted, the resilience or
the regime shifts of the system in occurrence of pulse contamination. Our
study may contribute to the prevalence of underestimation of extinction risk
or population regime shifts from random fluctuations of pollution in real
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