Sensitivity analysis and practical identifiability of the mathematical model for partial differential equations
2021 ◽
Vol 2092
(1)
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pp. 012012
Keyword(s):
Abstract A sensitivity-based identifiability analysis of mathematical model for partial differential equations is carried out using an orthogonal method and an eigenvalue method. These methods are used to study the properties of the sensitivity matrix and the effects of changes in the model coefficients on the simulation results. Practical identifiability is investigated to determine whether the coefficients can be reconstructed with noisy experimental data. The analysis is performed using correlation matrix method with allowance for Gaussian noise in the measurements. The results of numerical calculations to obtain identifiable sets of parameters for the mathematical model arising in social networks are presented and discussed.
2010 ◽
Vol 01
(04)
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pp. 485-508
2010 ◽
Vol 21
(4-5)
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pp. 401-419
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2014 ◽
Vol 2014
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pp. 1-8
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1981 ◽
Vol 103
(3)
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pp. 233-239
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2020 ◽
pp. 80-86