Electron. J. Diff. Equ., Vol. 2013 (2013), No. 105, pp. 1-21.

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

Tianwei Zhang, Xiaorong Gan

Abstract:
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.

Submitted July 23, 2012. Published April 24, 2013.
Math Subject Classifications: 34K14, 34K20, 39A11.
Key Words: Variable delay; permanence; almost periodicity; Leslie-Gower model.

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Tianwei Zhang
City College, Kunming University of Science and Technology
Kunming 650051, China
email: zhang@kmust.edu.cn
Xiaorong Gan
City College, Kunming University of Science and Technology
Kunming 650051, China
email: 1368156836@qq.com

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