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Analysis of autonomous Lotka-Volterra competition systems with random perturbation. (English) Zbl 1258.34099
A multi-species Lotka-Volterra competition system with $$n$$ interacting components is considered. Conditions for stability in time average, existence of stationary distribution, as well as extinction, are derived.

##### MSC:
 34C60 Qualitative investigation and simulation of ordinary differential equation models 34D05 Asymptotic properties of solutions to ordinary differential equations 34F05 Ordinary differential equations and systems with randomness 92D25 Population dynamics (general)
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