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On global behavior of a system of nonlinear dierence equations of order two

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In this paper we deal with the system of difference equations xn+1 = a/1 + xnyn-1, yn+1 = b/1 + ynxn-1, n ∈ N0, where the parameters a, b are positive real numbers and the initial conditions x-1, x0, y-1, y0 are nonnegative real numbers. We study global behavior of the above system. Also, we give rate of convergence of the solution which tends to unique positive equilibrium point of the system and illustrate our theoretical results by means of some numerical examples.

Abstract

In this paper we deal with the system of difference equations xn+1 = a/1 + xnyn-1, yn+1 = b/1 + ynxn-1, n ∈ N0, where the parameters a, b are positive real numbers and the initial conditions x-1, x0, y-1, y0 are nonnegative real numbers. We study global behavior of the above system. Also, we give rate of convergence of the solution which tends to unique positive equilibrium point of the system and illustrate our theoretical results by means of some numerical examples.

참고문헌 (34)

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