Population models with diffusion, strong Allee effect, and nonlinear boundary conditions

We consider a population model with diffusion, a strong Allee effect per capita growth function, and constant yield harvesting. In particular, we focus our study on a population living in a patch, Ω⊆RnΩ⊆Rn with n≥1n≥1, that satisfies a certain nonlinear boundary condition. We establish our existence results by the method of sub-supersolutions.