Invariant distributions for multi-population models in random environments |
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Authors: | Paul Polansky |
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Institution: | 1235 Mayo, Box 197, University of Minnesota, Minneapolis, MN, 55455 USA |
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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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