Nonlinear filtering of myxomatosis based on hormonal control of flea reproduction by the rabbit∗

DOI10.1080/07362998708809116zbMath0636.92011OpenAlexW2083577514MaRDI QIDQ3777843

Robert M. Seymour, Peter L. Antonelli

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/07362998708809116

zbMATH Keywords

epidemiologyleast squares estimationnonlinear filtering problemsmyxomatosis\textit{H. Kunita}'s backward Stratonovich calculus4-dimensional nonlinear system of ordinary differential equationsdensity dependent rabbit reproductivityEuropean rabbit viral diseaseexact solution measures of the Zakai equationhormonal control of flea reproductionRothschild's effecttotal caloric intake over time

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Signal detection and filtering (aspects of stochastic processes) (60G35) Medical applications (general) (92C50) Population dynamics (general) (92D25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Other natural sciences (mathematical treatment) (92F05)

Related Items (8)

Density-dependent host/parasite systems of Rothschild type and Finslerian diffusion ⋮ Filtering then-dimensional logistic growth model ⋮ A brief introduction to Volterra-Hamilton theory in ecological modelling ⋮ A curved space forward cauchy problem for chemical ecology on the great barrier reef ⋮ Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology ⋮ Curvature and production stability in Volterra-Hamilton system of Finsler type ⋮ The differential geometry of starfish cycles: a 20-year retrospective and open problems ⋮ Filtering for a logistic equation

Cites Work

• Régularité des lois conditionnelles en théorie du filtrage non-linéaire et calcul des variations stochastique
• Stochastic partial differential equations and filtering of diffusion processes

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