Hybrid Taguchi-differential evolution algorithm for parameter estimation of differential equation models with application to HIV dynamics.

*(English)*Zbl 1208.34069Summary: 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 numerical methods presented in the literature. An illustrative example shows that the proposed HTDE gives an effective and robust way for obtaining an optimal solution, and can get better results than the traditional DE approach and numerical methods presented in the literature for an HIV dynamical model.

##### MSC:

34C60 | Qualitative investigation and simulation of ordinary differential equation models |

92D30 | Epidemiology |

34A55 | Inverse problems involving ordinary differential equations |

92C60 | Medical epidemiology |

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\textit{W.-H. Ho} and \textit{A. L. F. Chan}, Math. Probl. Eng. 2011, Article ID 514756, 14 p. (2011; Zbl 1208.34069)

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