Stationary moments, diffusion limits, and extinction times for logistic growth with random catastrophes

DOI10.1016/j.jtbi.2018.06.007zbMath1406.92519arXiv1707.04668OpenAlexW2964020404WikidataQ56976829 ScholiaQ56976829MaRDI QIDQ1714177

Brandon H. Schlomann

Publication date: 31 January 2019

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

Full work available at URL: https://arxiv.org/abs/1707.04668

zbMATH Keywords

stochastic differential equationsenvironmental stochasticitystochastic population dynamicsrandom catastrophes

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (4)

Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics ⋮ Stochastic modeling of bacterial population growth with antimicrobial resistance ⋮ Statistical analysis and first-passage-time applications of a lognormal diffusion process with multi-sigmoidal logistic mean ⋮ Biological population management based on a Hamilton–Jacobi–Bellman equation with boundary blow up

Cites Work

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• Competitive Lotka-Volterra population dynamics with jumps
• Logistic growth with random density independent disasters
• Moment equation methods for nonlinear stochastic systems
• Optimal harvesting with both population and price dynamics
• Approximate Integration of Stochastic Differential Equations

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