title: Behavior of a competitive system of second-order difference equations.
abstract: We study the boundedness and persistence, existence, and uniqueness of positive equilibrium, local and global behavior of positive equilibrium point, and rate of convergence of positive solutions of the following system of rational difference equations: x n+1 = (α 1 + β 1 x(n-1))/(a1 + b1 y n), y(n+1) = (α 2 + β 2 y(n-1))/(a2 + b2 xn), where the parameters α i, β i, a i, and b i for i ∈ {1,2} and initial conditions x 0, x(-1), y 0, and y(-1) are positive real numbers. Some numerical examples are given to verify our theoretical results.
authors: Department of Mathematics, Faculty of Basic and Applied Sciences, University of Poonch Rawalakot, Rawalakot 12350, Pakistan.
authors: Q
authors: Q
authors: Din
authors: Department of Mathematics, Faculty of Sciences and Arts (S.A.), King Khalid University, Abha, Sarat Abida 61914, Saudi Arabia ; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
authors: T F
authors: TF
authors: Ibrahim
authors: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan.
authors: K A
authors: KA
authors: Khan