Enhancing population persistence by a protection zone in a reaction-diffusion model with strong Allee effect

Protecting endangered species has been an important issue in ecology. We derive a reaction-diffusion model for population one-dimensional bounded habitat, where the is subjected to strong Allee effect its natural domain but obeys logistic growth protection zone. establish conditions persistence and extinction via principal eigenvalue of associated problem investigate dependence this on location (i.e., starting point length) The results are used design optimal zone under different boundary conditions, that is, suggest length with respect rate zone, order persist long term.