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Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations. (English) Zbl 1155.34352
Summary: The aim of the paper is to show one useful way for stability investigation of the positive point of equilibrium of some nonlinear system with aftereffect and stochastic perturbations. Obtained results are applied for stability investigation of some mathematical predator-prey models.

MSC:
34K20 Stability theory of functional-differential equations
34K50 Stochastic functional-differential equations
92D25 Population dynamics (general)
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