Effect of Correlated Noises on the Stationary Distribution of Population Size: A Model Based Study
In this paper, we introduce two correlated noises in single species dynamic models. Here we consider both
ߠ −logistic and the Allee effect model for the growth process of the species. The stationary distribution is obtained through
the help of Fokker-Planck equation. The effect of the correlation coefficient, the strength of the correlated noises, the Allee
threshold and the density regulation parameter on the stationary density are analyzed, which can be used as a surrogate for
understanding the extinction status of the species.
Keywords— Theta-Logistic model, Allee Effect, Population Dynamics, Correlated Noise, Stationary Distribution, Steady