Duarte, JorgeJanuário, CristinaMartins, Nuno2022-07-142022-07-142021DUARTE, Jorge; JANUÁRIO, Cristina; MARTINS, Nuno – Homotopy analysis of explicit solutions in a chronic hepatitis C virus model. Applied Mathematical Sciences. ISSN 0066-5452. Vol. 15, N.º 1 (2021), pp. 15-32.0066-5452http://hdl.handle.net/10400.21/14833Mathematical analysis of nonlinear models in epidemiology has generated a deep interest in gaining insights into the mechanisms that underlie hepatitis C virus (HCV) infections. In this article, we provide a study of a chronic HCV infection model with immune response, incorporating the effect of dendritic cells (DC) and cytotoxic T lymphocytes (CTL). Considering very recent developments in the literature related to the Homotopy Analysis Method (HAM), we calculate the explicit series solutions of the HCV model, focusing our analysis on a particular set of dynamical variables. An optimal homotopy analysis approach is used to improve the computational efficiency of HAM by means of appropriate values for a convergence control parameter, which greatly accelerates the convergence of the series solutions. The approximated analytical solutions, with the variation of a parameter representing the expansion rate of CTL, are used to compute density plots, which allow us to discuss additional dynamical features of the model.engHCV infection modelNonlinear differential equationsExplicit series solutionsOptimal homotopy analysis proceduresjournal article10.12988/ams.2021.9142412196-968X