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

Figure 3

The stationary probability density 𝑃(𝑥) versus the population size 𝑥, computed from (25)–(27). The system parameter values are 𝐾₀=100, 𝜖=0.03, 𝛾=10⁻⁵, and 𝛼=0.5. (a) The case of 𝐾₀₁<𝐾_0𝑐 with (18), 𝑎=0.4. Solid line, 𝜈=45; dashed line, 𝜈=55; dotted line, 𝜈=150. (b) The case of 𝐾₀₁>𝐾_0𝑐, 𝑎=0.8. Solid line, 𝜈=73000; dashed line, 𝜈=74000; dotted line, 𝜈=75000.

(a)

(b)