Document Type

Article

Date of Original Version

2013

Abstract

We investigate the global dynamics of several anticompetitive systems of rational difference equations which are special cases of general linear fractional system of the forms

Χn+1 = (α1 + β1 χn + y1yn)(A1 + B1xn + C1yn), yn+1 = (α2 + β2xn + y2yn)/(A2 + B2xn + C2yn), n = 0, 1,…, where all parameters and the initial conditions x0, y0 are arbitrary nonnegative numbers, such that both denominators are positive. We find the basins of attraction of all attractors of these systems.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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