Global Analysis of a $(1,2)$-Type System of Non-Linear Difference Equations

Authors : Emine YENER, Mehmet GÜMÜŞ

Pages : 26-38

Doi:10.33434/cams.837197

View : 45 | Download : 10

Publication Date : 2021-03-29

Article Type : Research Paper

Abstract :This paper deals with the study of global analysis of following $insert ignore into journalissuearticles values(1,2);-$type system of non-linear difference equations:\[ u_{n+1}=\frac{\alpha v_{n-1}}{\beta +\gamma v_{n}^{p}v_{n-2}^{q}},\ \ \ \ \ \ v_{n+1}=\frac{\alpha _{1}u_{n-1}}{\beta _{1}+\gamma _{1}u_{n}^{p}u_{n-2}^{q}},\ \ \ \ n=0,1,... \] where the parameters $\alpha ,\beta ,\gamma ,\alpha _{1},\beta _{1},\gamma _{1,}p,q$ and the initial conditions $u_{i},v_{i},$ $i=-2,-1,0$ are non negative real numbers.
Keywords : 1, 2, type system, difference equations, equilibrium, global stability, rate of convergence

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