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Volume 10,     Number 1,     Spring 2002

 

GLOBAL DYNAMICS OF A MATHEMATICAL MODEL FOR HTLV-I INFECTION OF T CELLS
HORACIO GOMEZ-ACEVEDO AND MICHAEL Y. LI

Abstract. Human T-cell lymphotropic virus I (HTLVI) infection is linked to the development of adult T-cell leukemia/lymphoma (ATL). HTLV-I infection of healthy CD4+ T cells is known to take place through cell-to-cell contact with infected T cells. We consider a compartmental model for the transmission dynamics of the HTLV-I infection. The force of infection is assumed to be of a general form, and the resulting incidence term contains, as special cases, the bilinear and the standard incidences. Our mathematical analysis establishes that the global dynamics of T-cell infection are completely determined by a basic reproduction number R0. If R0 1, infected T cells always die out. If R0 > 1, HTLV-I infection becomes chronic, and a unique endemic equilibrium is globally stable in the interior of the feasible region.

 

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