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

Guijie Lan

Chaos, Solitons & Fractals, 2025, vol. 200, issue P2

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.

Keywords: Stochastic single species model; Allee threshold; Threshold; Bistable (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925009658

DOI: 10.1016/j.chaos.2025.116952

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