Dynamics of a stochastic population model with Allee effects under regime switching

Abstract A stochastic single-species model with Allee effects under regime switching is developed and detected in the present study. First, extinction and persistence of the model are dissected. Subsequently, sufficient criteria are offered to ensure that the model possesses a unique ergodic stationary distribution. Finally, the theoretical outcomes are employed to evaluate the evolution of the African wild dog ( Lycaon pictus ) in Africa, and some significant functions of stochastic perturbations are exposed.