On stochastic population model with the Allee effect

This paper discusses the existence, uniqueness and asymptotic stability of the solution to the stochastic population model with the Allee effect, which is represented by the stochastic differential equation dNt=Nt(1−NtT)(NtK−1)(rdt+αdWt). We are focused on the correlation between the growth rate rr and population size NtNt, which is shown to be positive if the population size NtNt is above the Allee threshold TT, and negative if Nt