Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms

Vahidin Hadžiabdić, University of Sarajevo
Mustafa R.S. Kulenović, University of Rhode Island
Esmir Pilav, University of Sarajevo


We investigate global dynamics of the following systems of difference equations: (Formula presented.) where the parameters (Formula presented.) are positive numbers and the initial condition (Formula presented.) is an arbitrary nonnegative number and (Formula presented.) is a positive number. We show that this system has rich dynamics which depends on the part of a parametric space. We find precisely the basins of attraction of all attractors including the points at ∞. MSC: Primary 39A10; 39A30; secondary 37E99; 37D10.