Dynamics of an almost periodic food chain system with impulsive effects
type: Item
instance of: scholarly article
title: Dynamics of an almost periodic food chain system with impulsive effects
zbMATH Open document ID: 1406.92671
DOI: 10.1155/2014/324912
author: Yaqin Li
author: Wenquan Wu
author: Tianwei Zhang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 7022172
zbMATH Keywords: periodic food chain dynamics
zbMATH Keywords: impulsive effects
Wikidata QID: Q59036177
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/324912
OpenAlex ID: W2059371605
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description: scientific article; zbMATH DE number 7022172