Growth with regulation in fluctuating environments. II. Intrinsic lower bounds to population size

DOI10.1007/BF00337078zbMath0553.92017WikidataQ47245159 ScholiaQ47245159MaRDI QIDQ759681

Luigi M. Ricciardi, Amelia G. Nobile

Publication date: 1984

Published in: Biological Cybernetics (Search for Journal in Brave)

zbMATH Keywords

Wiener processasymptotic behaviourwhite noiselogarithmic singularityequilibrium statespopulation growthcarrying capacitymonotone transformationlogarithmic nonlinearitythreshold levelasymptotic momentsintrinsic fertility raterandom fluctuationsstationary normal processstochastic differential equation of Stratonovich typethird order deterministic modelzero population size

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics ⋮ A non-autonomous stochastic predator-prey model ⋮ Stochastic square of the Brennan-Schwartz diffusion process: statistical computation and application

Cites Work

• Growth with regulation in fluctuating environments. I. Alternative logistic-like diffusion models
• On Gompertz growth model and related difference equations
• A study of some diffusion models of population growth
• A diffusion model for population growth in random environment
• A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing
• Stochastic processes and filtering theory
• Growth with regulation in random environment
• On the First Passage Time Probability Problem
• Diffusion Processes in One Dimension
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