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- W3033385751 abstract "We apply the recently developed theory of symmetry of stochastic differential equations to stochastic versions of the logistic equation; these may have environmental or demographical noise, or both—in which case we speak of the complete model. We study all these cases, both with constant and with non-constant noise amplitude, and show that the only one in which there are nontrivial symmetries is that of the stochastic logistic equation with (constant amplitude) environmental noise. In this case, the general theory of symmetry of stochastic differential equations is used to obtain an explicit integration, i.e., an explicit formula for the process in terms of any single realization of the driving Wiener process." @default.
- W3033385751 created "2020-06-12" @default.
- W3033385751 creator A5039461309 @default.
- W3033385751 date "2020-06-08" @default.
- W3033385751 modified "2023-10-16" @default.
- W3033385751 title "Symmetry Analysis of the Stochastic Logistic Equation" @default.
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- W3033385751 doi "https://doi.org/10.3390/sym12060973" @default.
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