Sensitivity analysis and practical identifiability of the mathematical model for partial differential equations

O. Krivorotko, D. Andornaya

Результат исследования: Научные публикации в периодических изданияхстатья по материалам конференциирецензирование

Аннотация

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.

Язык оригиналаанглийский
Номер статьи012012
ЖурналJournal of Physics: Conference Series
Том2092
Номер выпуска1
DOI
СостояниеОпубликовано - 20 дек. 2021
Событие11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems - Novosibirsk, Российская Федерация
Продолжительность: 26 авг. 20194 сент. 2019

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