Analysis of a stochastic food chain model with finite delay

Volume 9, Issue 2, pp 553--567 http://dx.doi.org/10.22436/jnsa.009.02.20

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Authors

Jing Fu - School of Mathematics, Changchun Normal University, Changchun 130032, Jilin, P. R. China. Haihong Li - Department of Basic Courses, Air Force Aviation University, Changchun 130022, Jilin, P. R. China. Qixing Han - School of Mathematics, Changchun Normal University, Changchun 130032, Jilin, P. R. China. Haixia Li - School of Business, Northeast Normal University, Changchun 130024, Jilin, P. R. China.

Abstract

A stochastic three species predator-prey time-delay chain model is proposed and analyzed. Sufficient conditions for persistence in time average and non-persistence are established. Numerical simulations are carried out to support our results.

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Keywords

• Stochastic differential equation
• persistent
• non-persistent.

MSC

•  60H05
•  60G44

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