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Global Dynamics of Delayed Sigmoid Beverton–Holt Equation

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  • Toufik Khyat
  • M. R. S. Kulenović

Abstract

In this paper, certain dynamic scenarios for general competitive maps in the plane are presented and applied to some cases of second-order difference equation , where is decreasing in the variable and increasing in the variable . As a case study, we use the difference equation , where the initial conditions and the parameters satisfy . In this special case, we characterize completely the global dynamics of this equation by finding the basins of attraction of its equilibria and periodic solutions. We describe the global dynamics as a sequence of global transcritical or period-doubling bifurcations.

Suggested Citation

  • Toufik Khyat & M. R. S. Kulenović, 2020. "Global Dynamics of Delayed Sigmoid Beverton–Holt Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-15, May.
    • Handle: RePEc:hin:jnddns:1364282
    DOI: 10.1155/2020/1364282
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