Identifiability analysis of an epidemiological model in a structured population

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• 作者：Antoine Perasso ; Bé ; atrice Laroche ; Yacine Chitour ; Suzanne Touzeau
• 关键词：Inverse problem ; Identifiability ; PDE ; Transport equations ; Epidemiological model
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2011
• 出版时间：1 February 2011
• 年：2011
• 卷：374
• 期：1
• 页码：154-165
• 全文大小：373 K

文摘

We investigate the parameter identifiability problem for a system of nonlinear integro-partial differential equations of transport type, representing the spread of a disease with a long infectious but undetectable period in an individual population. After obtaining the expression of the model input–output relationships, we give sufficient conditions on the initial and boundary conditions of the system that guarantee the parameter identifiability on a finite time horizon. We finally illustrate our findings with numerical simulations.