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Invariant distributions for multi-population models in random environments
Authors:Paul Polansky
Institution:1235 Mayo, Box 197, University of Minnesota, Minneapolis, MN, 55455 USA
Abstract:We obtain the existence of a solution and invariant distribution for systems of stochastic differential equations which represent populations in random environments. The method used is a stochastic Lyapunov function, based on a theorem of Kushner. The method is applied to a system of two populations exchainging individuals through migration, and to a generalized n-dimensional Lotka-Volterra system.
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