Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment

نویسندگان

  • Michael Y. Li
  • Liancheng Wang
چکیده

Anti-retroviral treatments (ART) such asHAARThave been used to control the replication of HIV virus in HIV-positive patients. In this paper, we study an in-hostmodel of HIV infection with ART and carry out mathematical analysis of the global dynamics and bifurcations of the model in different parameter regimes. Among our discoveries is a parameter region for which backward bifurcation can occur. Biologically, the catastrophic behaviors associated with backward bifurcations may explain the sudden rebound of HIV viral load when ART is stopped, and possibly provide an explanation for the viral blips during ART suppression of HIV. © 2013 Elsevier Ltd. All rights reserved.

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تاریخ انتشار 2014