Comparison of systems of stochastic partial differential equations (Q1613616)
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scientific article; zbMATH DE number 1792522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comparison of systems of stochastic partial differential equations |
scientific article; zbMATH DE number 1792522 |
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Comparison of systems of stochastic partial differential equations (English)
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29 August 2002
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A general comparison theorem applicable to systems of SPDE's is provided; it extends some known infinite-dimensional results for single SPDE's and an analogous finite-dimensional result for systems of stochastic differential equations [the author and \textit{R. Manthey}, Probab. Theory Relat. Fields 103, No. 4, 493-514 (1995; Zbl 0844.60031)]. As an application of the main result, large time behavior of a stochastic predator-prey system is studied. Several interesting statements on asymptotics of the ratio of predator/prey are proved.
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stochastic partial differential equations
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comparison theorem
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stability
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