Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Alejandro Peregrino, Lourdes Esteva and Gamaliel Blé
Pages: [9] - [35]
Received Date: November 30, 2017; Revised February 8, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121911
We present a mathematical model for the dynamics of hepatitis C (HCV). We included in the model treatment with combination therapy of interferon and ribavirin. In order to provide a treatment regimen that minimizes both economic cost and side effects, we propose and solve numerically an optimal control problem considering the cost of treatment and its side effects in the patient. The optimal control is obtained by applying the Pontryagin maximum principle.
hepatitis C, optimal control, Pontryagin maximum principle.
