Asymptotic behavior of a system of two difference equations of exponential form

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Phong Mai Nam; Khuong Vu Van

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2016 | Volume:7 | Issue:2 Page(s): 319-329

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Title

Asymptotic behavior of a system of two difference equations of exponential form

Author(s)

Phong Mai Nam | Khuong Vu Van | Issue Writer Certificate

Keywords

Difference equations

boundedness

persistence

asymptotic behavior

rate of convergence

Abstract

In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium E=(x¯ , y¯ )E=(x¯ , y¯ ) of the system of two Difference equations of exponential form: xn+1=a+e− (bxn+cyn)d+bxn+cyn, yn+1=a+e− (byn+cxn)d+byn+cxnxn+1=a+e− (bxn+cyn)d+bxn+cyn, yn+1=a+e− (byn+cxn)d+byn+cxn where a, b, c, da, b, c, d are positive constants and the initial values x0, y0x0, y0 are positive real values.

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APA: Copy

Phong, Mai Nam, & Khuong, Vu Van. (2016). Asymptotic behavior of a system of two difference equations of exponential form. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 7(2), 319-329. SID. https://sid.ir/paper/340714/en

Vancouver: Copy

Phong Mai Nam, Khuong Vu Van. Asymptotic behavior of a system of two difference equations of exponential form. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2016;7(2):319-329. Available from: https://sid.ir/paper/340714/en

IEEE: Copy

Mai Nam Phong, and Vu Van Khuong, “Asymptotic behavior of a system of two difference equations of exponential form,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 7, no. 2, pp. 319–329, 2016, [Online]. Available: https://sid.ir/paper/340714/en

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