
In this work, we study the dynamics of the Weibull model in dimension one, represented by the Weibull function with three parameters. The positive fixed points have been studied and implicitly expressed in terms of the Lambert W-function as well as the existence and stability conditions. We deduce that this Weibull function defines an Allee function for certain parameter values. Numerical simulations have been presented to illustrate the theoretical results.
Bifurcation theory for random and stochastic dynamical systems, fixed point, Classification theory, stability, and related concepts in model theory, stability, Allee function, Weibull function
Bifurcation theory for random and stochastic dynamical systems, fixed point, Classification theory, stability, and related concepts in model theory, stability, Allee function, Weibull function
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