Metapopulation persistence despite local extinction: predator-prey patch models of the Lotka-Volterra type

Many arthropod predator-prey systems on plants typically have a patchy structure in space and at least twoessentially different phases at each of the trophic levels: a phase of within-patch population growth and a phase ofbetween-patch dispersal. Coupling of the trophic levels takes place in the growth phase, but it is absent in the dispersalphase. By representing the growth phase as a simple presence/absence state of a patch, metapopulation dynamics can bedescribed by a system of ordinary differential equations with the classic Lotka-Volterra model as a limiting case (e.g. whenthe dispersal phases are of infinitely short duration).

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