A note on a derivation method for SDE models: Applications in biology and viability criteria

DOI10.1080/07362994.2017.1386571zbMath1390.60203OpenAlexW2773155491MaRDI QIDQ4639166

Jacky Cresson, Stefanie Sonner

Publication date: 3 May 2018

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

Full work available at URL: https://doi.org/10.1080/07362994.2017.1386571

zbMATH Keywords

stochastic differential equationsmodel validationbiological applicationsItô equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Numerical solutions to stochastic differential and integral equations (65C30) General biology and biomathematics (92B05) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Cites Work

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• Modeling with Itô Stochastic Differential Equations
• Stochastic juvenile–adult models with application to a green tree frog population
• Stochastic viability and a comparison theorem
• Validating Stochastic Models: Invariance Criteria for Systems of Stochastic Differential Equations and the Selection of a Stochastic Hodgkin-Huxley Type Model
• Construction of Equivalent Stochastic Differential Equation Models
• Stochastic differential equations. An introduction with applications.

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