Shaikhet, Leonid Stability of a positive point of equilibrium of one nonlinear system with aftereffect and stochastic perturbations. (English) Zbl 1155.34352 Dyn. Syst. Appl. 17, No. 1, 235-253 (2008). 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. Cited in 17 Documents MSC: 34K20 Stability theory of functional-differential equations 34K50 Stochastic functional-differential equations 92D25 Population dynamics (general) PDFBibTeX XMLCite \textit{L. Shaikhet}, Dyn. Syst. Appl. 17, No. 1, 235--253 (2008; Zbl 1155.34352)