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
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Xiaorong Gan
City College, Kunming University of Science and Technology
Kunming 650051, China
email: 1368156836@qq.com
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