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Behavior patterns of logistic models with a delay

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  • Aracil, J.
  • Ponce, E.
  • Pizarro, L.

Abstract

In this paper, the behavior patterns of a logistic model with a delay in the feedback path are analyzed. It is shown that these patterns are richer than the ones without delay and include a new behavior, the retarded catastrophe, which is apparently counterintuitive. The mechanisms underlying that behavior are elucidated with the tools supplied by the bifurcation theory. The relevance of these results for system dynamics are emphasized.

Suggested Citation

  • Aracil, J. & Ponce, E. & Pizarro, L., 1997. "Behavior patterns of logistic models with a delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(2), pages 123-141.
    • Handle: RePEc:eee:matcom:v:44:y:1997:i:2:p:123-141
    DOI: 10.1016/S0378-4754(97)00060-8
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    Cited by:

    1. Kwamina Ewur Banson & Daniel Kwasi Asare & Fidelis Doodaa Dery & Kwadwo Boakye & Akudugu Boniface & Moses Asamoah & Lourees Esi Awotwe, 2020. "Impact of Fall Armyworm on Farmer’s Maize: Systemic Approach," Systemic Practice and Action Research, Springer, vol. 33(2), pages 237-264, April.

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