Existence and uniqueness of globally attractive positive almost periodic solution in a predator-prey dynamic system with Beddington-DeAngelis functional response
type: Item
instance of: scholarly article
title: Existence and uniqueness of globally attractive positive almost periodic solution in a predator-prey dynamic system with Beddington-DeAngelis functional response
zbMATH Open document ID: 1472.34100
DOI: 10.1155/2014/204564
author: Wenquan Wu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper is concerned with a predator-prey system with Beddington-DeAngelis functional response on time scales. By using the theory of exponential dichotomy on time scales and fixed point theory based on monotone operator, some simple conditions are obtained for the existence of at least one positive (almost) periodic solution of the above system. Further, by means of Lyapunov functional, the global attractivity of the almost periodic solution for the above continuous system is also investigated. The main results in this paper extend, complement, and improve the previously known result. And some examples are given to illustrate the feasibility and effectiveness of the main results.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7021921
zbMATH Keywords: predator-prey system
zbMATH Keywords: exponential dichotomy
zbMATH Keywords: fixed point theory
zbMATH Keywords: positive (almost) periodic solution
zbMATH Keywords: global attractivity
Wikidata QID: Q59036000
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/204564
OpenAlex ID: W2145568813
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description: scientific article; zbMATH DE number 7021921