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Global behavior of an economic model

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  • El-Metwally, H.

Abstract

The objective of this paper is to investigate some qualitative behavior of the solutions of an economic model. This is accomplished by studying a higher order difference equation where we establish some results about the boundedness, the periodicity, and the global attractivity of the solutions of this higher order difference equation and then apply the obtained results to give a complete description of global stability and the periodic character of the solutions of the model.

Suggested Citation

  • El-Metwally, H., 2007. "Global behavior of an economic model," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 994-1005.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:994-1005
    DOI: 10.1016/j.chaos.2006.01.060
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    References listed on IDEAS

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    1. Agiza, H.N. & Elsadany, A.A., 2003. "Nonlinear dynamics in the Cournot duopoly game with heterogeneous players," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 512-524.
    2. Ken-ichi Ishiyama & Yoshitaka Saiki, 2005. "Unstable periodic orbits embedded in a chaotic economic dynamics model," Applied Economics Letters, Taylor & Francis Journals, vol. 12(12), pages 749-753.
    3. Ishiyama, K. & Saiki, Y., 2005. "Unstable periodic orbits and chaotic economic growth," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 33-42.
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    Cited by:

    1. Stević, Stevo, 2009. "On a class of higher-order difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 138-145.

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