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Global Stability and Oscillation of a Discrete Annual Plants Model

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  • S. H. Saker

Abstract

The objective of this paper is to systematically study the stability and oscillation of the discrete delay annual plants model. In particular, we establish some sufficient conditions for global stability of the unique positive fixed point and establish an explicit sufficient condition for oscillation of the positive solutions about the fixed point. Some illustrative examples and numerical simulations are included to demonstrate the validity and applicability of the results.

Suggested Citation

  • S. H. Saker, 2010. "Global Stability and Oscillation of a Discrete Annual Plants Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:156725
    DOI: 10.1155/2010/156725
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    References listed on IDEAS

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    1. G. Ladas & Ch. G. Philos & Y. G. Sficas, 1989. "Sharp conditions for the oscillation of delay difference equations," International Journal of Stochastic Analysis, Hindawi, vol. 2, pages 1-11, January.
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