Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays

A nonautonomous food-chain system with Holling II functional response is studied, in which multiple delays of digestion are also considered. By applying techniques in differential inequalities, comparison theorem in ordinary differential equations, impulsive differential equations, and functional di...

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Bibliographic Details
Main Authors: Baodan Tian, Yanhong Qiu, Yucai Ding
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2016/6126545
Description
Summary:A nonautonomous food-chain system with Holling II functional response is studied, in which multiple delays of digestion are also considered. By applying techniques in differential inequalities, comparison theorem in ordinary differential equations, impulsive differential equations, and functional differential equations, some effective control strategies are obtained for the permanence of the system. Furthermore, effects of some important coefficients and delays on the permanence of the system are intuitively and clearly shown by series of numerical examples.
ISSN:1687-5249
1687-5257