On a system of rational difference equation

• Autorzy: Din Q.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study local asymptotic stability, global character and periodic nature of solutions of the system of rational difference equations given by (…) , where the parameters (…) , and with initial conditions (…). Some numerical examples are given to illustrate our results.

Słowa kluczowe

EN

difference equation; equilibrium points; stability

PL

równanie różniczkowe; stan równowagi punktów; stabilność

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 2
• Strony: 324--335
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Din Q.

• Department of Mathematics the University of Azad Jammu and Kashmir Muzaffarabad Pakistan

Bibliografia

• [1] C. Cinar, On the positive solutions of the difference equation system (…) , Appl. Math. Comput. 158 (2004), 303–305.
• [2] S. Stevic, On some solvable systems of difference equations, Appl. Math. Comput. 218 (2012), 5010–5018.
• [3] S. Stevic, On a third-order system of difference equations Appl. Math. Comput. 218 (2012), 7649–7654.
• [4] I. Bajo, E. Liz, Global behaviour of a second-order nonlinear difference equation, J. Difference Equ. Appl. 17(10) (2011), 1471–1486.
• [5] S. Kalabuˆsic, M. R. S. Kulenovic, E. Pilav, Dynamics of a two-dimensional system of rational difference equations of Leslie–Gower type, Adv. Differential Equations (2011). doi:10.1186/1687-1847-2011-29
• [6] A. S. Kurbanli, On the behavior of solutions of the system of rational difference equations (…) , Discrete Dyn. Nat. Soc. 2011, ID: 932362, 12 pages.
• [7] A. S. Kurbanli, C. Çinar, I. Yalçinkaya, On the behavior of positive solutions of the system of rational difference equations (…) , Math. Comput. Modelling 53 (2011), 1261–1267.
• [8] E. M. Elabbasy, H. El-Metwally, E. M. Elsayed, On the solutions of a class of difference equations systems, Demonstratio Math. 41(1) (2008), 109–122.
• [9] N. Touafek, E. M. Elsayed, On the solutions of systems of rational difference equations, Math. Comput. Modelling 55 (2012), 1987–1997.
• [10] N. Touafek, E. M. Elsayed, On the periodicity of some systems of nonlinear difference equations, Bull. Math. Soc. Sci. Math. Roumanie 2 (2012), 217–224.