Influence of stochastic perturbation on prey-predator systems |
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| Authors: | Rudnicki Ryszard Pichór Katarzyna |
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| Affiliation: | Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland. rudnicki@us.edu.pl |
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| Abstract: | 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 long-time behaviour of both trajectories and distributions of the solutions. We indicate the differences between the deterministic and stochastic models. |
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| Keywords: | Prey-predator model Diffusion process Markov semigroups Asymptotic stability |
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