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Influence of stochastic perturbation on prey-predator systems. (English) Zbl 1124.92055
Summary: We analyse the influence of various stochastic perturbations on prey-predator systems. The prey-predator model is described by stochastic versions of a deterministic Lotka-Volterra system. We study the long-time behaviour of both trajectories and distributions of the solutions. We indicate the differences between the deterministic and stochastic models.

MSC:
92D40 Ecology
60H30 Applications of stochastic analysis (to PDEs, etc.)
47D07 Markov semigroups and applications to diffusion processes
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
92D25 Population dynamics (general)
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