Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 342, Issue 2, Pages 1342-1355Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.01.008
Keywords
HIV; globally asymptotical stability; periodic solution
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A differential equation model of HIV infection of CD4(+) T-cells with cure rate is studied. We prove that if the basic reproduction number R-0 < 1, the HIV infection is cleared from the T-cell population and the disease dies out; if R-0 > 1, the HIV infection persists in the host. We find that the chronic disease steady state is globally asymptotically stable if R-0 > 1. Furthermore, we also obtain the conditions for which the system exists an orbitally asymptotically stable periodic solution. Numerical simulations are presented to illustrate the results. (c) 2008 Elsevier Inc. All rights reserved.
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