Open AccessHybrid Taguchi-Differential Evolution Algorithm for Parameter Estimation of Differential Equation Models with Application to HIV Dynamics
Author(s) -
WenHsien Ho,
Agnes Lai-Fong Chan
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2011/514756
Subject(s) - differential evolution , taguchi methods , mathematics , estimation theory , differential (mechanical device) , dynamical systems theory , differential equation , mathematical optimization , human immunodeficiency virus (hiv) , work (physics) , algorithm , computer science , engineering , mathematical analysis , physics , statistics , medicine , mechanical engineering , family medicine , quantum mechanics , aerospace engineering
This work emphasizes solving the problem of parameter estimation for a human immunodeficiency virus (HIV) dynamical model by using an improved differential evolution, which is called the hybrid Taguchi-differential evolution (HTDE). The HTDE, used to estimate parameters of an HIV dynamical model, can provide robust optimal solutions. In this work, the HTDE approach is effectively applied to solve the problem of parameter estimation for an HIV dynamical model and is also compared with the traditional differential evolution (DE) approach and the numerical methods presented in the literature. An illustrative example shows that the proposed HTDE gives an effective and robust way for obtaining optimal solution, and can get better results than the traditional DE approach and the numerical methods presented in the literature for an HIV dynamical model
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