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The population dynamics of predator-prey systems in the presence ofpatch-specific predators are explored in a setting where the prey populationhas access to both habitats. The emphasis is in situations where patch-preyabundance drives prey-dispersal between patches, with the fragile preypopulations, that is, populations subject to the Allee effect. The resultingfour-dimensional model's mathematical analysis is carried out via sub-modelsthat focus in lower dimensional settings. The outcomes depend on, and in factthey are quite sensitive to, the structure of the system, the range ofparameter values, and initial conditions. We show that the system can supportmulti-stability and a diverse set of predator-prey life-history dynamics thatincludes rather complex dynamical system outcomes. It is argued that in generalevolution should favor heterogeneous settings including Allee effects,prey-refuges, and patch-specific predators.

Predator-Prey Interactions in Communities with prey dispersal and Allee effects