Stability of a Leslie-Gower type predator-prey model with a strong Allee effect with delay
DOI:
https://doi.org/10.17268/sel.mat.2022.01.02Keywords:
Allee effect, Leslie-Gower predator-prey model, delay parameter, stability, Hopf bifurcationAbstract
In this paper, a modified Leslie-Gower type predator-prey model introducing in prey population growth a delayed strong Allee effect is studied.
Estabilidad de un modelo depredador-presa tipo Leslie Gower con un efecto Allee fuerte con retardo
The Leslie-Gower model with Allee effect has none, one or two positive equilibrium points but the incorporation of a time delay in the growth rate destabilizes the system, breaking the stability when the delay cross a critical point. The existence of a Hopf bifurcation is studied in detail and the numerical simulations confirm the theoretical results showing the different scenarios.
We present biological interpretations for species prey-predator type.
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