Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 105, pp. 1-21.

Title: Existence and permanence of almost periodic solutions for
       Leslie-Gower predator-prey model with variable delays
        
Authors: Tianwei Zhang (Kunming Univ. of Science and Tech., China)
         Xiaorong Gan  (Kunming Univ. of Science and Tech., China)

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.