title: Influence of stochastic perturbation on prey-predator systems.
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.
authors.affiliation: Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland. rudnicki@us.edu.pl
authors.forename: Ryszard
authors.initials: R
authors.lastname: Rudnicki
authors.forename: Katarzyna
authors.initials: K
authors.lastname: Pichór
mesh_terms: D000465:Algorithms; D000818:Animals; D017753:Ecosystem; D053476:Extinction, Biological; D008390:Markov Chains; D008954:Models, Biological; D011157:Population Dynamics; D011158:Population Growth; D011235:Predatory Behavior; D013269:Stochastic Processes