Global dynamics of some systems of rational difference equations

Abstract

In this paper, we study the qualitative behavior of some systems of second-order rational difference equations. More precisely, we study the equilibrium points, local asymptotic stability of equilibrium point, unstability of equilibrium points, global character of equilibrium point, periodicity behavior of positive solutions and rate of convergence of positive solutions of these systems. Some numerical examples are given to verify our theoretical results.

Solutions structures for some systems of fractional difference equations

“…For more information about basic theory and qualitative behaviour of dynamical systems of difference equations, one can see references [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. This work aims to present the solutions of discrete dynamical systems of difference equations which are given by…”