Prey-predator models in spatially heterogeneous environments
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TL;DR
The stabilizing effect observed depends on environmental variation and is not produced by diffusion alone, so the conclusions are fairly independent of the details of the model.
Abstract
The effects of environmental heterogeneity on models of prey-predator systems are investigated. Refuge behaviour is found in a continuous gradually varying environment. In this situation we do not necessarily get oscillating population cycles. The stabilizing effect observed depends on environmental variation and is not produced by diffusion alone. Our conclusions are fairly independent of the details of the model.