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Stochastic Lotka-Volterra model with infinite delay. (English) Zbl 1159.92321
Summary: A stochastic Lotka-Volterra system with infinite delay is studied. We show that the solution of such a system is a positive solution without explosion and give conditions to guarantee stochastic ultimate boundedness of the solutions.

MSC:
92D40 Ecology
34K50 Stochastic functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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