Title

Global asymptotic behavior of a two-dimensional system of difference equations modeling cooperation

Document Type

Article

Date of Original Version

1-1-2003

Abstract

We investigate the global asymptotic behavior of solutions of the system of difference equations xn+1 = Axn yn/1+yn, y+1 = Byn xn/1+xn, n = 0,1,... where the parameters A and B are in (0, ∞) and the initial conditions x0 and y0 are arbitrary nonnegative numbers. We show that the stable manifold of this system separates the positive quadrant into the basins of attraction of two types of asymptotic behavior.

Publication Title

Journal of Difference Equations and Applications

Volume

9

Issue

1

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