Global Dynamics of a Mathematical Model for Htlv-i Infection of T Cells
نویسنده
چکیده
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.
منابع مشابه
Pii: S0025-5564(02)00103-7
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 CD4þ T cells takes place through cell-to-cell contact with infected T cells. The infected T cells can remain latent and harbor virus...
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