The average plankton concentration (solid line) and the standard deviation of spatial variability (dashed line) in the steady state as a function of the non-dimensional stirring rate (). The horizontal line shows the harmonic mean carrying capacity. The carrying capacity field is .
Snapshots of the plankton concentration field following logistic population dynamics in the stirring dominated regime (left) and in the case where the local population dynamics dominates (right).
Stirring induced transition in the population dynamics of a bistable system. The mean (solid line) and standard deviation (dashed line) of the steady state plankton concentration are shown as a function of the stirring rate. (a = 1.67, , and ).
Mean phyto- (stars) and zoo-plankton (diamonds) concentrations and standard deviations (phyto- (circles), zoo-plankton (crosses) as a function of stirring rates (S = 0.3, a = 1.67, e = 0.3, m = 0.2, ) in the cases (top) and (bottom), .
Snapshots of the phyto- (left) and zoo-plankton (right) distribution when the regions of high carrying capacity are in the unstable oscillatory regime, in the case of weak stirring (). S = 0.3, a = 1.67, e = 0.3, m = 0.2, and . Note the non-coherent plankton blooms in the regions where the local steady state of the population dynamics is unstable.
Mean (left) and standard deviation (right) of the phyto- (solid) and zooplankton (dashed) concentrations in the case of oscillatory population dynamics with strong stirring (, a = 1.67, e = 0.3, m = 0.2, S = 0.3, , and the case of weakly nonuniform (top, ) and strongly nonuniform (bottom, ) carrying capacity.
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