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Orientador(es)
Resumo(s)
Mathematical 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.
Descrição
Palavras-chave
HCV infection model Nonlinear differential equations Explicit series solutions Optimal homotopy analysis procedures
Contexto Educativo
Citação
DUARTE, 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.
Editora
Springer