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Threshold dynamics of a stochastic single species model with two component Allee effects

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  • Lan, Guijie

Abstract

This paper establishes a stochastic population model incorporating two component Allee effects. For the deterministic model, we rigorously prove the existence and stability of equilibria. For the stochastic model, we derive the stochastic net reproductive rate R0s, serving as a sharp threshold, that is, if R0s<1, the population is extinct almost surely, while R0s>1 results in the population being strongly stochastically permanent.

Suggested Citation

  • Lan, Guijie, 2025. "Threshold dynamics of a stochastic single species model with two component Allee effects," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925009658
    DOI: 10.1016/j.chaos.2025.116952
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    References listed on IDEAS

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    1. Yang, Yafei & Fan, Meng, 2023. "Impact of selective grazing on the dynamics of a diffusive plankton model with component Allee effect and additional food," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Yanfei Du & Ben Niu & Junjie Wei, 2021. "Dynamics in a Predator–Prey Model with Cooperative Hunting and Allee Effect," Mathematics, MDPI, vol. 9(24), pages 1-40, December.
    3. Matis, James H. & Kiffe, Thomas R. & van der Werf, Wopke & Costamagna, Alejandro C. & Matis, Timothy I. & Grant, William E., 2009. "Population dynamics models based on cumulative density dependent feedback: A link to the logistic growth curve and a test for symmetry using aphid data," Ecological Modelling, Elsevier, vol. 220(15), pages 1745-1751.
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