Research Article

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

Figure 2

A schematic plot of the dependence of the polynomials and on and attracting intervals. Because of the influence of the noise in (6), (7), and (9) the dependence of the function on fluctuates with a switching rate between two forms and , which correspond to noise values and and are illustrated by curves 1 and 2, respectively. The bold lines depict the attracting intervals. (a) The case of ; the stable fixed points of (6) are denoted by and . (b) The case of ; the fixed points for (6) by noise states and are and , , respectively.
120624.fig.002a
(a)
120624.fig.002b
(b)