Transient dynamics and persistence of ecological systems

Using spatially coupled predator-prey systems as an example of a cyclic eco logical system where coexistence depends on oscillations, transient dynamic s of models where there are no stable persistent solutions are shown to be a reasonable explanation of persistence over ecological time scales. The pa rameter values leading to transients within the context of a particular mod el may be far from parameter values that lead to stable solutions, so trans ients will need to be explicitly considered in model analysis. Since natura l systems with many coupled oscillating species are common, and natural com munities are often reset by disturbances or seasonality, transients should play a central role in understanding natural systems.