The Stability Analysis for a System of Certain Difference Equations

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The Stability Analysis for a System of Certain Difference Equations

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Abstract

The paper deals with the study of asymptotic behaviour, stability and global stability for the following system of certain difference equations given the form, x_(n+1)=(a^α x_n)/(b(x_n y_n z_n )+c^(α+1) ),y_(n+1)=(d^β y_n)/(e(x_n y_n z_n )+f^(β+1) ),z_(n+1)=(h^γ z_n)/(k(x_n y_n z_n )+l^(γ+1) ) where n=0,1,2,… and parameters a,b,c,d,e,f,h,k,l∈(0,∞). Using certain conditions the stable and unstable state are studied for solutions of above system of difference equations. To prove the results examples are provided.

Keywords

Difference equations stability global stability asymptotic behavior.

References

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