Filtering then-dimensional logistic growth model

DOI10.1080/07362999008809209zbMath0711.92016OpenAlexW2040636777MaRDI QIDQ3496195

Peter L. Antonelli

Publication date: 1990

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999008809209

zbMATH Keywords

decomposition techniquesExplicit formulasrabbitslinear stochastic partial differential equationslinear Kalman-Bucy filter1-dimensional casebackward stochastic calculuscommunity productionconsumption recordscoral growth model with predationleast squares estimation of growth variablesmyxomatosis diseasen-dimensional logistic growth modelZakai nonlinear filtering

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Epidemiology (92D30) Filtering in stochastic control theory (93E11) Signal detection and filtering (aspects of stochastic processes) (60G35) Population dynamics (general) (92D25) Ecology (92D40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Density-dependent host/parasite systems of Rothschild type and Finslerian diffusion ⋮ Medawar's growth energy experiment, revisited: along a Brownian path

Cites Work

• Filtering for a logistic equation
• Nonlinear filtering and Riemannian scalar curvature, \({\mathbb{R}}\)
• Nonlinear filtering theory for coral/starfish and plant/herbivore interactions^†
• Nonlinear filtering of myxomatosis based on hormonal control of flea reproduction by the rabbit^∗
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