%0 Journal Article %T Stability analysis of general humoral immunity HIV dynamics models with discrete delays and HAART %A Elaiw, A. M. %A Elnahary, E. Kh. %J Journal of Mathematics and Computer Science %D 2018 %V 18 %N 4 %@ ISSN 2008-949X %F Elaiw2018 %X We investigate a general HIV infection model with three types of infected cells: latently infected cells, long-lived productively infected cells, and short-lived productively infected cells. We consider two kinds of target cells: CD4\(^{+}\) T cells and macrophages. We incorporate three discrete time delays into the model. Moreover, we consider the effect of humoral immunity on the dynamical behavior of the HIV. The HIV-target incidence rate, production/proliferation, and removal rates of the cells and HIV are represented by general nonlinear functions. We show that the solutions of the proposed model are nonnegative and ultimately bounded. 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