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World Scientific Publishing, International Journal of Biomathematics

DOI: 10.1142/s1793524516500777

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Extinction and persistence of a nonautonomous stochastic food-chain system with impulsive perturbations

Journal article published in 2016 by Baodan Tian, Shouming Zhong, Zhijun Liu
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

In this paper, a nonautonomous stochastic food-chain system with functional response and impulsive perturbations is studied. By using Itô’s formula, exponential martingale inequality, differential inequality and other mathematical skills, some sufficient conditions for the extinction, nonpersistence in the mean, persistence in the mean, and stochastic permanence of the system are established. Furthermore, some asymptotic properties of the solutions are also investigated. Finally, a series of numerical examples are presented to support the theoretical results, and effects of different intensities of white noises perturbations and impulsive effects are discussed by the simulations.