期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
卷 21, 期 1, 页码 103-119出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2016.21.103
关键词
HIV infection; delay differential equations; Lyapunov functional; global asymptotic stability; permanence
资金
- Fundamental Research Funds for the Central Universities [FRF-BY-14-036]
- National Natural Science Foundation of China [11471034]
In this paper, a class of delay differential equations model of HIV infection dynamics with nonlinear transmissions and apoptosis induced by infected cells is proposed, and then the global properties of the model are considered. It shows that the infection-free equilibrium of the model is globally asymptotically stable if the basic reproduction number R-0 < 1, and globally attractive if R-0 = 1. The positive equilibrium of the model is locally asymptotically stable if R-0 > 1. Furthermore, it also shows that the model is permanent, and some explicit expressions for the eventual lower bounds of positive solutions of the model are given.
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