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Global Dynamics of a 3 × 6 System of Difference Equations

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  • S. M. Qureshi
  • A. Q. Khan

Abstract

In the proposed work, global dynamics of a system of rational difference equations has been studied in the interior of . It is proved that system has at least one and at most seven boundary equilibria and a unique equilibrium under certain parametric conditions. By utilizing method of Linearization, local dynamical properties about equilibria have been investigated. It is shown that every solution of the system is bounded, and equilibrium becomes a globally asymptotically stable if , . It is also shown that every solution of the system converges to . Finally theoretical results are verified numerically.

Suggested Citation

  • S. M. Qureshi & A. Q. Khan, 2019. "Global Dynamics of a 3 × 6 System of Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-14, July.
    • Handle: RePEc:hin:jnddns:9797242
    DOI: 10.1155/2019/9797242
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