Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 67, Issue 12, Pages 2218-2227Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2014.02.002
Keywords
SIR model; Coefficient identification; Inverse problem; Least Squares Method; Method of Variational Imbedding
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Funding
- NSF [HRD-0928797]
- Direct For Education and Human Resources
- Division Of Human Resource Development [1002541, 0928797] Funding Source: National Science Foundation
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This work deals with the development of a numerical method for solving an inverse problem for identifying coefficients from over-posed data in an SIR mathematical model of infectious diseases spread through a population. The parameters are identified using a generalized Least Squares Method which is similar to the technique called Method of Variational Imbedding, where the original inverse problem is replaced by a minimization problem. A difference scheme and a numerical algorithm for solving the parameter identification problem are developed. The correctness of the embedded problem is discussed. Numerical results of the parameters, representing the solution to the inverse problem, are presented. (C) 2014 Elsevier Ltd. All rights reserved.
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