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• W2922209213 endingPage "2153" @default.
• W2922209213 startingPage "2141" @default.
• W2922209213 abstract "Huang et al. ^{[<span class=xref><a href=#b1 ref-type=bibr>1</a></span>]} recently developed a toxin-dependent predator-prey model and analyzed its global dynamics. Their results showed that environmental toxins may influence both predators and prey and induce bistable situation, and intermediate toxin concentrations may affect predators disproportionately through biomagnification. Environmental noises can change the dynamical behaviors of the toxin-based predator-prey model. In this paper, by formulating a stochastically forced predator-prey model with environmental toxins, we study the dynamical phenomenon of noise-induced transitions from coexistence to prey-only extirpation in the bistable zone. Numerical simulations based on the technique of stochastic sensitivity functions are provided for constructing the confidence ellipse and estimating the threshold value of the noise intensity of state switching. Meanwhile, we construct the confidence band and study the configurational arrangement of the stochastic cycle." @default.
• W2922209213 created "2019-03-22" @default.
• W2922209213 creator A5030259863 @default.
• W2922209213 creator A5063821802 @default.
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• W2922209213 date "2019-01-01" @default.
• W2922209213 modified "2023-10-03" @default.
• W2922209213 title "Stochastic sensitivity analysis of noise-induced transitions in a predator-prey model with environmental toxins" @default.
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• W2922209213 doi "https://doi.org/10.3934/mbe.2019104" @default.
• W2922209213 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31137203" @default.
• W2922209213 hasPublicationYear "2019" @default.
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