Abstract

We investigate a Volterra ecosystem driven by correlated noises. Thefluctuation in the death rate of the predator induces an increase ofpopulation density of the predators. The fluctuation in the growth rateof the prey, however, leads the predators to decay. It is reported thatthe predators undergo sensitivity to a random environment, whereas thepreys exhibit a surprising endurance to the same stochastic factor. Thepredators are of better stability under strong correlation of noises.

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