Stochastic analogues of deterministic single-species population models

DOI10.1016/j.tpb.2006.01.006zbMath1120.92032OpenAlexW2045699878WikidataQ51946591 ScholiaQ51946591MaRDI QIDQ2500414

David J. T. Sumpter, Åke Brännström

Publication date: 23 August 2006

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

Full work available at URL: http://pure.iiasa.ac.at/id/eprint/8037/1/IR-06-062.pdf

zbMATH Keywords

Ricker modelStochastic population modelsPopulation modelsFirst principles

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Population dynamics (general) (92D25)

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Cites Work

• From local interactions to population dynamics in site-based models of ecology
• Ants and agents: a process algebra approach to modelling ant colony behaviour
• Demographic and Environmental Stochasticity-Concepts and Definitions
• Simple mathematical models with very complicated dynamics
• On Branching Processes with Random Environments: I: Extinction Probabilities
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