A predator-prey reaction-diffusion model with Allee effect and exclusion zones admits positive coexistence equilibria when the predator-free area is sufficiently large, proven globally via topological degree theory, with non-vanishing predator populations as the predation area shrinks.
Uniqueness and stability of positive solutions for a diffusive predator–prey model in heterogeneous environment
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The Influence of Exclusion Zones on the Coexistence of Predator and Prey with an Allee Effect
A predator-prey reaction-diffusion model with Allee effect and exclusion zones admits positive coexistence equilibria when the predator-free area is sufficiently large, proven globally via topological degree theory, with non-vanishing predator populations as the predation area shrinks.