Global behavior of a three-dimensional system of difference equations of order three

Authors : Durhasan Turgut TOLLU, İbrahim YALÇINKAYA

Pages : 1-16

Doi:10.31801/cfsuasmas.443530

View : 15 | Download : 8

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this paper, we investigate the global behavior of the positive solutions of the system of difference equations u_{n+1}=insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(α₁u_{n-1});/insert ignore into journalissuearticles values(β₁+γ₁v_{n-2}^{p}););, v_{n+1}=insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(α₂v_{n-1});/insert ignore into journalissuearticles values(β₂+γ₂w_{n-2}^{q}););, w_{n+1}=insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(α₃w_{n-1});/insert ignore into journalissuearticles values(β₃+γ₃u_{n-2}^{r});); for n∈ℕ₀ where the initial conditions u_{-i},v_{-i},w_{-i} insert ignore into journalissuearticles values(i=0,1,2); are non-negative real numbers and the parameters  α_{j},β_{j},γ_{j} insert ignore into journalissuearticles values(j=1,2,3); and p,q,r are positive real numbers, by extending some results in the literature.
Keywords : System of difference equations, stability, global behavior, periodic solution