Existence and permanence of almost periodic solutions for Leslie-Gower predator-prey model with variable delays

Existence and permanence of almost periodic solutions for Leslie-Gower predator-prey model with variable delays

By constructing a suitable Lyapunov functional and using almost periodic functional hull theory, we study the almost periodic dynamic behavior of a discrete Leslie-Gower predator-prey model with constant and variable delays. Based on the permanence result, sufficient conditions are established f...

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Bibliographic Details
Main Authors: Tianwei Zhang, Xiaorong Gan
Format: Article
Language:English
Published: Texas State University 2013-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Variable delay
permanence
almost periodicity
Leslie-Gower model
Online Access:http://ejde.math.txstate.edu/Volumes/2013/105/abstr.html
Description
Summary:By constructing a suitable Lyapunov functional and using almost periodic functional hull theory, we study the almost periodic dynamic behavior of a discrete Leslie-Gower predator-prey model with constant and variable delays. Based on the permanence result, sufficient conditions are established for the existence and uniqueness of globally attractive almost periodic solution. A example and a numerical simulation are given to illustrate the our results.
ISSN:1072-6691

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