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Published May 1977 | Published
Journal Article Open

The Effects of a Rapidly-Fluctuating Random Environment on Systems of Interacting Species

Abstract

Some models of interacting species in a random environment are analyzed. Approximate solutions of the stochastic differential or delay-differential equations describing the systems are obtained, on the assumption that the random environment is fluctuating rapidly.

Additional Information

© 1977 Society for Industrial and Applied Mathematics. Received by the editors May 4, 1976. Published online: 01 August 2006. This work was supported by the National Science Foundation under Grant MPS 75-09837. It is a pleasure to thank Professors George Papanicolaou and Donald Ludwig for many helpful conversations, and Professors Papanicolaou and J. B. Keller for their comments on the manuscript.

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