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Permanence and asymptotic properties of fuzzy stochastic delay Lotka-Volterra model

Qimin Zhang, Shuo Ma, Hongfu Yang


In this paper, a class of fuzzy stochastic delay Lotka-Volterra model is investigated. Applying Ito’s formula, we show that the fuzzy stochastic delay Lotka-Volterra model is stochastically permanent. Moreover, we obtain that the limit of the average in time of the sample path of the solution is estimated by two constants. Finally, the main results are illustrated by several examples.


fuzzy stochastic delay Lotka-Volterra model; Brownian motion; stochastically permanent; Ito’s formula.

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