LAUSR

The present study takes advantage of the white noise and the Lévy noise to portray the small and sudden environmental perturbations respectively, and puts forward a stochastic population model with Allee effects and Lévy jumps. First, it is confirmed that the model possesses a unique, global and positive solution. Then, permanence and extinction of the species are examined. Afterwards, the trajectory of population abundance is tested. The findings uncover that both the white noise and the Lévy noise have significant functions on the rate of population change. Finally, the theoretical findings are applied to dissect the rate of population change of the African hunting dog Lycaon pictus .