Stochastic bifurcation in single-species model induced by α-stable Lévy noise

  title={Stochastic bifurcation in single-species model induced by $\alpha$-stable L{\'e}vy noise},
  author={Almaz Tesfay and Daniel Tesfay and Shenglan Yuan and James Ryan Brannan and Jinqiao Duan},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
Bifurcation analysis has many applications in different scientific fields, such as electronics, biology, ecology, and economics. In population biology, deterministic methods of bifurcation are commonly used. In contrast, stochastic bifurcation techniques are infrequently employed. Here we establish stochastic P-bifurcation behavior of (i) a growth model with state dependent birth rate and constant death rate, and (ii) a logistic growth model with state dependent carrying capacity, both of which… 

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