Regular Article - Living Systems
Phenomenological bifurcation in a generally stochastic population model with Allee effect
Finance Depatment, Jiangsu University, 212013, Zhenjiang, Jiangsu, China
Accepted: 12 September 2022
Published online: 29 October 2022
A general population model with Allee effect driven by correlated additive and multiplicative white noises is considered. This paper aims to investigate noise-induced phenomenological bifurcation (P-bifurcation) and the influence of noises on the population model. With the help of Fokker–Planck equation, we obtain the stationary probability distribution (SPD) of the model, and find that the shape of SPD experiences a transition from one structure to another when the noise intensity passes through a critical value, i.e., the P-bifurcation occurs. Moreover, detailed analysis and simulations for stochastic logistic-like models with weak and strong Allee effects show that the correlated noises have complex effects on the eventual distribution of population size.
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