Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy

Zhijun Liu; Jianhua Wu; Yiping Chen; Mainul Haque

doi:10.1016/j.nonrwa.2008.11.017

Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy

Zhijun Liu
, Jianhua Wu
, Yiping Chen
, Mainul Haque

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider the dynamic behavior of an impulsive delay differential equation model with the effects of interspecific allelopathic interaction. A good understanding of the permanence, extinction and the existence of positive periodic solutions is gained. It turns out that the impulsive controls play a crucial role in shaping the above dynamics of the system. Numerical simulations are presented to substantiate the analytical results.

Original language	English
Pages (from-to)	432-445
Journal	Nonlinear Analysis: Real World Applications
Volume	11
Issue number	1
Early online date	25 Nov 2008
DOIs	https://doi.org/10.1016/j.nonrwa.2008.11.017
Publication status	Published - 1 Feb 2010

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10.1016/j.nonrwa.2008.11.017

https://linkinghub.elsevier.com/retrieve/pii/S1468121808003003

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title = "Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy",

abstract = "In this paper, we consider the dynamic behavior of an impulsive delay differential equation model with the effects of interspecific allelopathic interaction. A good understanding of the permanence, extinction and the existence of positive periodic solutions is gained. It turns out that the impulsive controls play a crucial role in shaping the above dynamics of the system. Numerical simulations are presented to substantiate the analytical results.",

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AU - Chen, Yiping

AU - Haque, Mainul

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N2 - In this paper, we consider the dynamic behavior of an impulsive delay differential equation model with the effects of interspecific allelopathic interaction. A good understanding of the permanence, extinction and the existence of positive periodic solutions is gained. It turns out that the impulsive controls play a crucial role in shaping the above dynamics of the system. Numerical simulations are presented to substantiate the analytical results.

AB - In this paper, we consider the dynamic behavior of an impulsive delay differential equation model with the effects of interspecific allelopathic interaction. A good understanding of the permanence, extinction and the existence of positive periodic solutions is gained. It turns out that the impulsive controls play a crucial role in shaping the above dynamics of the system. Numerical simulations are presented to substantiate the analytical results.

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DO - 10.1016/j.nonrwa.2008.11.017

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JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

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Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy

Abstract

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