Estimation of parameters in a structured SIR model

被引：35

作者：

Canto, Begona ^{[1
]}

Coll, Carmen ^{[1
]}

Sanchez, Elena ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Camino Vera 14, Valencia 46022, Spain

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

epidemic process; mathematical modeling; parameter estimation; identifiability; discrete-time system; DIFFERENTIAL-ALGEBRAIC SYSTEMS; IDENTIFIABILITY;

D O I：

10.1186/s13662-017-1078-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an age-structured epidemiological process is considered. The disease model is based on a SIR model with unknown parameters. We addressed two important issues to analyzing the model and its parameters. One issue is concerned with the theoretical existence of unique solution, the identifiability problem. The second issue is how to estimate the parameters in the model. We propose an iterative algorithm to study the identifiability of the system and a method to estimate the parameters which are identifiable. A least squares approach based on a finite set of observations helps us to estimate the initial values of the parameters. Finally, we test the proposed algorithms.

引用

页数：13

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