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We investigate the local and global character of the equilibrium and the local stability of the period-two solution of the difference equation

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where the parameters β, γ, δ, B, C, D are nonnegative numbers which satisfy B + C + D > 0 and the initial conditions x-1 and x0 are arbitrary nonnegative numbers such that Bxnxn-1 + Cx2n-1 + Dxn > 0 for all n ≥ 0.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 2.0 License.