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Zbl 1124.92055
Rudnicki, Ryszard; Pichór, Katarzyna
Influence of stochastic perturbation on prey-predator systems. (English)
[J] Math. Biosci. 206, No. 1, 108-119 (2007). ISSN 0025-5564

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 2000:
*92D40 Ecology
60H30 Appl. of stochastic analysis
47D07 Markov semigroups of linear operators
60H10 Stochastic ordinary differential equations
92D25 Population dynamics

Keywords: Prey-predator model; Diffusion process; Markov semigroups; Asymptotic stability; Wiener processes

Cited in: Zbl 1242.92050

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