Critical thresholds for eventual extinction in randomly disturbed population growth models

DOI10.1007/s00285-018-1217-yzbMath1397.92597OpenAlexW2791548990WikidataQ49911255 ScholiaQ49911255MaRDI QIDQ1659731

Edward C. Waymire, Patrick De Leenheer, Scott D. Peckham

Publication date: 22 August 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1217-y

zbMATH Keywords

random perturbationspopulation growth modelsthresholds for persistence

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Population dynamics (general) (92D25)

Related Items (4)

Revisiting the Logistic Growth with Random Disturbances ⋮ HJB and Fokker-Planck equations for river environmental management based on stochastic impulse control with discrete and random observation ⋮ Management guidelines in disturbance-prone populations: the importance of the intervention time ⋮ Biological population management based on a Hamilton–Jacobi–Bellman equation with boundary blow up

Cites Work

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• On time reversal of piecewise deterministic Markov processes
• Logistic growth with random density independent disasters
• Persistence times of populations with large random fluctuations
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• Persistence for stochastic difference equations: a mini-review
• Stationary distributions for piecewise-deterministic Markov processes
• The stochastic equation Y_n+1=A_nY_n + B_n with stationary coefficients
• Iterated Random Functions
• Global Models of Growth and Competition

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