| Volume 6, Number 3, 2016, Pages 790-816 DOI：10.11948/2016051 |
| Dynamics of a general non-autonomous stochastic Lotka-Volterra model with delays |
| Qing Wang,Yongguang Yu,Shuo Zhang |
| Keywords:Non-autonomous Lotka-Valterra model, stochastic perturbation, delays, persistence, extinction. |
| Abstract: |
| In this paper, a general non-autonomous n-species Lotka-Volterra model with delays and stochastic perturbation is investigated. For this model, sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established. The influences of the stochastic noises to the properties of the stochastic model are discussed. The property permanence for the model is preserved with the sufficiently small noise and sufficiently large noise may cause extinction of the model. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results. |
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