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

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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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
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spelling doaj-e9b8e49618434b689e1a1f09d826b2582020-11-25T00:53:20ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/61265456126545Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple DelaysBaodan Tian0Yanhong Qiu1Yucai Ding2Institute of Modeling and Algorithm, School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaInstitute of Modeling and Algorithm, School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaInstitute of Modeling and Algorithm, School of Science, Southwest University of Science and Technology, Mianyang 621010, ChinaA 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.http://dx.doi.org/10.1155/2016/6126545
collection DOAJ
language English
format Article
sources DOAJ
author Baodan Tian
Yanhong Qiu
Yucai Ding
spellingShingle Baodan Tian
Yanhong Qiu
Yucai Ding
Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
Journal of Control Science and Engineering
author_facet Baodan Tian
Yanhong Qiu
Yucai Ding
author_sort Baodan Tian
title Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
title_short Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
title_full Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
title_fullStr Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
title_full_unstemmed Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
title_sort impulsive control strategy for a nonautonomous food-chain system with multiple delays
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1155/2016/6126545
work_keys_str_mv AT baodantian impulsivecontrolstrategyforanonautonomousfoodchainsystemwithmultipledelays
AT yanhongqiu impulsivecontrolstrategyforanonautonomousfoodchainsystemwithmultipledelays
AT yucaiding impulsivecontrolstrategyforanonautonomousfoodchainsystemwithmultipledelays
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