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Zou DY, Wang SF, Li XZ. Global dynamics for a live-virus-blood model with distributed time delay. INT J BIOMATH 2017. [DOI: 10.1142/s179352451750067x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/09/2022]
Abstract
In this paper, the global properties of a mathematical modeling of hepatitis C virus (HCV) with distributed time delays is studied. Lyapunov functionals are constructed to establish the global asymptotic stability of the uninfected and infected steady states. It is shown that if the basic reproduction number [Formula: see text] is less than unity, then the uninfected steady state is globally asymptotically stable. If the basic reproduction number [Formula: see text] is larger than unity, then the infected steady state is globally asymptotically stable.
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Affiliation(s)
- Ding-Yu Zou
- Department of Physics and Mathematics, Changzhou University, Changzhou 213016, P. R. China
| | - Shi-Fei Wang
- Department of Physics and Mathematics, Changzhou University, Changzhou 213016, P. R. China
| | - Xue-Zhi Li
- College of Mathematics and Physics, Anyang Institute of Technology, Anyang 455000, P. R. China
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