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Cited by 37Control Systems and IdentificationMathematical and Theoretical Epidemiology and Ecology ModelsCensus and Population Estimation

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A hybrid symbolic-numerical method for determining model structure

Choquet, R., Cole, D.J.·2012·Mathematical Biosciences
DOI 10.1016/j.mbs.2012.02.002
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Abstract

In this article, we present a method for determining whether a model is at least locally identifiable and in the case of non-identifiable models whether any of the parameters are individually at least locally identifiable. This method combines symbolic and numeric methods to create an algorithm that is extremely accurate compared to other numeric methods and computationally inexpensive. A series of generic computational steps are developed to create a method that is ideal for practitioners to use. The algorithm is compared to symbolic methods for two capture-recapture models and a compartment model.

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References 44 · Cited by 37

Research works printed but not linked: 34

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Metadata

Authors
Choquet, R., & Cole, D. J.
Affiliations
  • Centre d'Écologie Fonctionnelle et Évolutive (FR)
  • University of Kent (GB)
Corresponding author
Choquet, R.
ORCID
Venue
Mathematical Biosciences
Publisher
Elsevier BV
Published
2012-04
Volume
236
Issue
2
Pages
117-125
ISSN
0025-5564 (ISSN-L)
DOI
10.1016/j.mbs.2012.02.002
OpenAlex
W2046587620
Cited by
37
References
44
Citations by year
2023: 1 · 2022: 1 · 2021: 2 · 2020: 4 · 2019: 5 · 2018: 3 · 2017: 4 · 2016: 3 · 2015: 1 · 2014: 6 · 2013: 4 · 2012: 3
FWCI
6.49
Type
journal article
Language
en
Open access
closed
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Mathematical Biosciences (publishedVersion)
  • PubMed (publishedVersion)
  • HAL (submittedVersion)
  • Kent Academic Repository (University of Kent) (submittedVersion)
Funders
  • Royal Society
  • Centre National de la Recherche Scientifique
Topics
  • Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical and Theoretical Epidemiology and Ecology Models
  • Physical Sciences › Mathematics › Statistics and Probability › Census and Population Estimation
Keywords
model structure selection, local identifiability, parameter identifiability, capture-recapture models, compartmental model, parameter estimation
MeSH terms
Algorithms, Animals, Models, Biological, Predatory Behavior, Ecosystem

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CoChat. (2026). Citation check: A hybrid symbolic-numerical method for determining model structure. https://app.cochat.ai/papers/10.1016/j.mbs.2012.02.002
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Choquet, R., & Cole, D. J. (2012). A hybrid symbolic-numerical method for determining model structure. Mathematical Biosciences. https://doi.org/10.1016/j.mbs.2012.02.002