Modelling immune response and drug therapy in human malaria infection.

Chiyaka, C.; Garira, W.; Dube, S.

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Modelling within host parasite dynamics of schistosomiasis.

Chiyaka, Edward T., Magombedze, Gesham, Mutimbu, Lawrence (2010)

Computational & Mathematical Methods in Medicine

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Immune responses against conserved and variable viral epitopes.

Bittner, B., Wahl, L.M. (2000)

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Mathematical models of the complete course of HIV infection and AIDS.

Duffin, R.Paul, Tullis, Richard H. (2002)

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A mathematical model of continuous HIV mutations eluding immune defence.

Wilson, D.P., McElwain, D.L.S. (2002)

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A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation

Mahiéddine Kouche, Bedr'eddine Ainseba (2010)

International Journal of Applied Mathematics and Computer Science

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In this paper we derive a model describing the dynamics of HIV-1 infection in tissue culture where the infection spreads directly from infected cells to healthy cells trough cell-to-cell contact. We assume that the infection rate between healthy and infected cells is a saturating function of cell concentration. Our analysis shows that if the basic reproduction number does not exceed unity then infected cells are cleared and the disease dies out. Otherwise, the infection is persistent...