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

Authors

Vahidin Hadžiabdić
Mustafa Kulenovic, University of Rhode IslandFollow
Esmir Pilav

Document Type

Article

Date of Original Version

12-1-2014

Abstract

We investigate global dynamics of the following systems of difference equations:

[Mathematical equations cannot be displayed here, refer to PDF]

where the parameters b₁, a₂, A₁, c₂, are positive numbers and the initial condition y₀ is an arbitrary nonnegative number and x₀ is a positive number. We show that this system has rich dynamics which depends on the part of the parametric space. We find precisely the basins of attraction of all attractors including the points at ∞.

Citation/Publisher Attribution

Hadžiabdić, V., Kulenović, M. R.S., & Pilav, E. (2014). Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms. Advances in Difference Equations, 2014:301.

Available at: http://dx.doi.org/10.1186/1687-1847-2014-301

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.