Comparative Analysis of Practical Identifiability Methods for an SEIR Model

التفاصيل البيبلوغرافية
العنوان: Comparative Analysis of Practical Identifiability Methods for an SEIR Model
المؤلفون: Saucedo, Omar, Laubmeier, Amanda, Tang, Tingting, Levy, Benjamin, Asik, Lale, Pollington, Tim, Prosper, Olivia
سنة النشر: 2024
المجموعة: Quantitative Biology
Statistics
مصطلحات موضوعية: Statistics - Methodology, Quantitative Biology - Populations and Evolution, Quantitative Biology - Quantitative Methods
الوصف: Identifiability of a mathematical model plays a crucial role in parameterization of the model. In this study, we establish the structural identifiability of a Susceptible-Exposed-Infected-Recovered (SEIR) model given different combinations of input data and investigate practical identifiability with respect to different observable data, data frequency, and noise distributions. The practical identifiability is explored by both Monte Carlo simulations and a Correlation Matrix approach. Our results show that practical identifiability benefits from higher data frequency and data from the peak of an outbreak. The incidence data gives the best practical identifiability results compared to prevalence and cumulative data. In addition, we compare and distinguish the practical identifiability by Monte Carlo simulations and a Correlation Matrix approach, providing insights for when to use which method for other applications.
Comment: Minor changes to clarify why structural identifiability with respect to incidence data was not perform
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2401.15076
رقم الأكسشن: edsarx.2401.15076
قاعدة البيانات: arXiv