Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression.
Mathematical analysis is carried out that completely determines the global dynamics of a mathematical model for the transmission of human T-cell lymphotropic virus I (HTLV-I) infection and the development of adult T-cell leukemia (ATL). HTLV-I infection of healthy CD4(+) T cells takes place through cell-to-cell contact with infected T cells. The infected T cells can remain latent and harbor virus for several years before virus production occurs. Actively infected T cells can infect other T cells and can convert to ATL cells, whose growth is assumed to follow a classical logistic growth function. Our analysis establishes that the global dynamics of T cells are completely determined by a basic reproduction number R(0). If R(0)< or =1, infected T cells always die out. If R(0)>1, HTLV-I infection becomes chronic, and a unique endemic equilibrium is globally stable in the interior of the feasible region. We also show that the equilibrium level of ATL-cell proliferation is higher when the HTLV-I infection of T cells is chronic than when it is acute.
Department of Mathematics and Computer Science, Georgia Southern University, Statesboro 30460-8093, USA.
Liancheng
L
Wang
Michael Y
MY
Li
Denise
D
Kirschner
D000328:Adult; D015496:CD4-Positive T-Lymphocytes / Q000821:virology; D004279:DNA, Viral / Q000032:analysis; D018562:Disease Transmission, Infectious; D015490:HTLV-I Infections / Q000635:transmission*; D015368:Human T-lymphotropic virus 1; D006801:Humans; D015458:Leukemia, T-Cell / Q000473:pathology / Q000821:virology*; D018448:Models, Immunological
D004279:DNA, Viral