Population growth in random environments

DOI10.1007/BF02459595zbMath0511.92017OpenAlexW4253915283MaRDI QIDQ1839214

Carlos A. dos Santos Braumann

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02459595

zbMATH Keywords

predictionparameter estimationStratonovich calculusreviewIto calculusrecent advancessingle population stochastic differential equation growth models

Mathematics Subject Classification ID

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

Related Items (12)

Itô versus Stratonovich calculus in random population growth ⋮ Stability for multispecies population models in random environments ⋮ The reverse effects of random perturbation on discrete systems for single and multiple population models ⋮ Inference for a discretized stochastic logistic differential equation and its application to biological growth ⋮ Harvesting in a random environment: Itô or Stratonovich calculus? ⋮ Estimation of intrinsic growth factors in a class of stochastic population model ⋮ Stochastic differential equations in mathematical demography: A review ⋮ Stochastic differential equations in mathematical demography: A review ⋮ A parametric interpretation of Bayesian nonparametric inference from gene genealogies: linking ecological, population genetics and evolutionary processes ⋮ Growth and extinction of populations in randomly varying environments ⋮ Population growth in random environments ⋮ Variable effort harvesting models in random environments: generalization to density-dependent noise intensities

Cites Work

• Unnamed Item
• Random environments and stochastic calculus
• A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing
• On a conjecture concerning population growth in random environment
• A reexamination of stability in randomly varying versus deterministic environments with comments on the stochastic theory of limiting similarity
• Population growth in random environments
• A CYBERNETIC APPROACH TO POPULATION DYNAMICS MODELING
• Diffusion approximations to linear stochastic difference equations with stationary coefficients

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