DYNAMICS OF A GENERAL NON-AUTONOMOUS STOCHASTIC LOTKA-VOLTERRA MODEL WITH DELAYS | Zendy

Qīng Wáng | Zendy; Yongguang Yu | Zendy; Shuo Zhang | Zendy

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DYNAMICS OF A GENERAL NON-AUTONOMOUS STOCHASTIC LOTKA-VOLTERRA MODEL WITH DELAYS

Author(s) -

Qīng Wáng,

Yongguang Yu,

Shuo Zhang

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016051

Subject(s) - extinction (optical mineralogy) , persistence (discontinuity) , mathematics , perturbation (astronomy) , stochastic modelling , volterra equations , statistical physics , control theory (sociology) , computer science , statistics , nonlinear system , physics , engineering , geotechnical engineering , control (management) , quantum mechanics , artificial intelligence , optics

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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