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On the dynamics of a linear-hyperbolic population model with Allee effect and almost sure extinction

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  • Cánovas, J.S.
  • Muñoz-Guillermo, M.

Abstract

This paper considers a biological model in which two stages of the population, adults and preadults, are modeled by a Beverton-Holt type function and a logistic-type function. Two new models are proposed, each with an additional parameter representing the compensation. This new parameter is introduced in adult and juvenile populations. As a result, the Allee effect is observed in both models. The scenario of almost sure extinction can appear when the dynamic is chaotic enough.

Suggested Citation

  • Cánovas, J.S. & Muñoz-Guillermo, M., 2025. "On the dynamics of a linear-hyperbolic population model with Allee effect and almost sure extinction," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    • Handle: RePEc:eee:apmaco:v:486:y:2025:i:c:s0096300324004661
    DOI: 10.1016/j.amc.2024.129005
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