Research Article

Noise-Induced Transitions in a Population Growth Model Based on Size-Dependent Carrying Capacity

Figure 5

A schematic illustration of the effective potential configurations versus the population size , . Because of the influence of the noise the effective potential fluctuates with a switching rate between two configurations and , which correspond to the noise values and and are illustrated by curves 1 and 2, respectively. (a) The case of ; the positions of the minima (stable fixed points of (1) with (3)) of and are denoted by and , respectively. (b) The case of ; the stable fixed points by the noise states and are and , , respectively. The initial population size is denoted by in (a).
120624.fig.005a
(a)
120624.fig.005b
(b)