Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage
2019 ◽
Vol Volume 30 - 2019 - MADEV...
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Keyword(s):
Modeling by fractional order differential equations has more advantages to describe the dynamics of phenomena with memory which exists in many biological systems. In this paper, we propose a fractional order model for human immunodeficiency virus (HIV) infection by including a class of infected cells that are not yet producing virus, i.e., cells in the eclipse stage. We first prove the positivity and bound-edness of solutions in order to ensure the well-posedness of the proposed model. By constructing appropriate Lyapunov functionals, the global stability of the disease-free equilibrium and the chronic infection equilibrium is established. Numerical simulations are presented in order to validate our theoretical results.
2017 ◽
Vol 2017
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pp. 1-8
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Keyword(s):
2021 ◽
Vol 382
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pp. 113064
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2012 ◽
Vol 72
(1)
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pp. 25-38
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Keyword(s):
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2019 ◽
Vol 3
(1)
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pp. 05-08
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