## Abstract and Applied Analysis

### Dynamics of an Almost Periodic Food Chain System with Impulsive Effects

#### Abstract

In order to obtain a more accurate description of the ecological system perturbed by human exploitation activities such as planting and harvesting, we need to consider the impulsive differential equations. Therefore, by applying the comparison theorem and the Lyapunov method of the impulsive differential equations, this paper gives some new sufficient conditions for the permanence and existence of a unique uniformly asymptotically stable positive almost periodic solution in a food chain system with almost periodic impulsive perturbations. The method used in this paper provides a possible method to study the permanence and existence of a unique uniformly asymptotically stable positive almost periodic solution of the models with impulsive perturbations in biological populations. Finally, an example and numerical simulations are given to illustrate that our results are feasible.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 324912, 10 pages.

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425048229

Digital Object Identifier
doi:10.1155/2014/324912

Mathematical Reviews number (MathSciNet)
MR3246329

Zentralblatt MATH identifier
07022172

#### Citation

Li, Yaqin; Wu, Wenquan; Zhang, Tianwei. Dynamics of an Almost Periodic Food Chain System with Impulsive Effects. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 324912, 10 pages. doi:10.1155/2014/324912. https://projecteuclid.org/euclid.aaa/1425048229

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